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 942/41, 728/851

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 942/41, 728/851 i.e 2/34891 easily. The following is the detailed procedure to determine the greatest common factor of fractions 942/41, 728/851.

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 942/41,728/851?

Given fractions are 942/41,728/851

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 942/41,728/851, numerators are 942,728

Denominators are 41,851

The GCF of 942,728 is 2 .

LCM of 41,851 is 34891.

The greatest common factor of 942/41,728/851 = [GCF of 942,728]/[LCM of 41,851]= 2/34891

Therefore, the GCF of 942/41,728/851 is 2/34891.

Greatest Common Factor of 942,728

To find the highest common factor of 942,728, we have to find the factors of both numbers and list the highest common factor.

The factors of 942 are 1, 2, 3, 6, 157, 314, 471, 942

The factors of 728 are 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

The HCF of 942,728 is 2.

Lets's calculate GCF of 942,728

Greatest Common Factor (GCF) of 942,728 By Common Division

2 942, 728
471, 364

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

Greatest Common Factor of 942,728 By Matching Biggest Common Factor Method

Greatest Common Factor of 942,728 By Matching Biggest Common Factor Method

Now, list down the factors of 942

:

1,2,3,6,157,314,471,942

Now, list down the factors of 728

:

1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728

Greatest Common Factor

We found the factors 942,728 . The biggest common factor number is the GCF number.
So the greatest common factor 942,728 is 2.

Lets's calculate LCM of 41,851

Lowest Common Multiple of 41,851 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 34891

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/34891

Therefore, the GCF of Fractions 942/41,728/851 is 2/34891

Least Common Multiple of 41,851 with GCF Formula

Least Common Multiple of 41,851 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 41,851 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,851) = 1

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

GCF(41,851) x common factors =1 x 1 = 1

LCM(41,851) = ( 41 × 851 ) / 1

LCM(41,851) = 34891 / 1

LCM(41,851) = 34891


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 942/41, 728/851

1. What is the HCF of 942,728?

The HCF of 942,728 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 942/41, 728/851?

Answer: GCF of Numerators as per given numbers 942/41, 728/851 is

GCF of Numerators i.e. for 942,728 is 2

LCM of denominators i.e. for 41,851 is 34891.

Thus, GCF of Fractions is 2/34891.Finally, GCF of Fractions for 942/41, 728/851 is 2/34891.