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 3854/435, 4721/6136

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 3854/435, 4721/6136 i.e 1/2669160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3854/435, 4721/6136.

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 3854/435,4721/6136?

Given fractions are 3854/435,4721/6136

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 3854/435,4721/6136, numerators are 3854,4721

Denominators are 435,6136

The GCF of 3854,4721 is 1 .

LCM of 435,6136 is 2669160.

The greatest common factor of 3854/435,4721/6136 = [GCF of 3854,4721]/[LCM of 435,6136]= 1/2669160

Therefore, the GCF of 3854/435,4721/6136 is 1/2669160.

Greatest Common Factor of 3854,4721

To find the highest common factor of 3854,4721, we have to find the factors of both numbers and list the highest common factor.

The factors of 3854 are 1, 2, 41, 47, 82, 94, 1927, 3854

The factors of 4721 are 1, 4721

The HCF of 3854,4721 is 1.

Lets's calculate GCF of 3854,4721

Greatest Common Factor (GCF) of 3854,4721 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 3854,4721 By Matching Biggest Common Factor Method

Greatest Common Factor of 3854,4721 By Matching Biggest Common Factor Method

Now, list down the factors of 3854

:

1,2,41,47,82,94,1927,3854

Now, list down the factors of 4721

:

1,4721

Greatest Common Factor

We found the factors 3854,4721 . The biggest common factor number is the GCF number.
So the greatest common factor 3854,4721 is 1.


Lets's calculate LCM of 435,6136

Lowest Common Multiple of 435,6136 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2669160

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2669160

Therefore, the GCF of Fractions 3854/435,4721/6136 is 1/2669160

Least Common Multiple of 435,6136 with GCF Formula

Least Common Multiple of 435,6136 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 435,6136 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(435,6136) = 1

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

GCF(435,6136) x common factors =1 x 1 = 1

LCM(435,6136) = ( 435 × 6136 ) / 1

LCM(435,6136) = 2669160 / 1

LCM(435,6136) = 2669160


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 3854/435, 4721/6136

1. What is the HCF of 3854,4721?

The HCF of 3854,4721 is 1

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 3854/435, 4721/6136?

Answer: GCF of Numerators as per given numbers 3854/435, 4721/6136 is

GCF of Numerators i.e. for 3854,4721 is 1

LCM of denominators i.e. for 435,6136 is 2669160.

Thus, GCF of Fractions is 1/2669160.Finally, GCF of Fractions for 3854/435, 4721/6136 is 1/2669160.