LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 3962/707, 3982/8044

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Use our free GCF of Fractions Calculator tool to compute the GCF of 3962/707, 3982/8044 i.e 2/5687108 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3962/707, 3982/8044.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 3962/707,3982/8044?

Given fractions are 3962/707,3982/8044

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 3962/707,3982/8044, numerators are 3962,3982

Denominators are 707,8044

The GCF of 3962,3982 is 2 .

LCM of 707,8044 is 5687108.

The greatest common factor of 3962/707,3982/8044 = [GCF of 3962,3982]/[LCM of 707,8044]= 2/5687108

Therefore, the GCF of 3962/707,3982/8044 is 2/5687108.

Greatest Common Factor of 3962,3982

To find the highest common factor of 3962,3982, we have to find the factors of both numbers and list the highest common factor.

The factors of 3962 are 1, 2, 7, 14, 283, 566, 1981, 3962

The factors of 3982 are 1, 2, 11, 22, 181, 362, 1991, 3982

The HCF of 3962,3982 is 2.

Lets's calculate GCF of 3962,3982

Greatest Common Factor (GCF) of 3962,3982 By Common Division

2 3962, 3982
1981, 1991

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 3962,3982 By Matching Biggest Common Factor Method

Greatest Common Factor of 3962,3982 By Matching Biggest Common Factor Method

Now, list down the factors of 3962

:

1,2,7,14,283,566,1981,3962

Now, list down the factors of 3982

:

1,2,11,22,181,362,1991,3982

Greatest Common Factor

We found the factors 3962,3982 . The biggest common factor number is the GCF number.
So the greatest common factor 3962,3982 is 2.


Lets's calculate LCM of 707,8044

Lowest Common Multiple of 707,8044 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5687108

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5687108

Therefore, the GCF of Fractions 3962/707,3982/8044 is 2/5687108

Least Common Multiple of 707,8044 with GCF Formula

Least Common Multiple of 707,8044 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 707,8044 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(707,8044) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(707,8044) x common factors =1 x 1 = 1

LCM(707,8044) = ( 707 × 8044 ) / 1

LCM(707,8044) = 5687108 / 1

LCM(707,8044) = 5687108


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 3962/707, 3982/8044

1. What is the HCF of 3962,3982?

The HCF of 3962,3982 is 2

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 3962/707, 3982/8044?

Answer: GCF of Numerators as per given numbers 3962/707, 3982/8044 is

GCF of Numerators i.e. for 3962,3982 is 2

LCM of denominators i.e. for 707,8044 is 5687108.

Thus, GCF of Fractions is 2/5687108.Finally, GCF of Fractions for 3962/707, 3982/8044 is 2/5687108.