Greatest Common Factor of 34/762, 4892/4544

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 34/762, 4892/4544

Enter two or more fractions separated by "commas"

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

GCF of:

Greatest Common Factor of 34/762,4892/4544

Given fractions are 34/762,4892/4544

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 34,4892

Greatest Common Factor of Numerators i.e. GCF of 34,4892 is 2 .

LCM of Denominators means LCM of 762,4544 as per the given fractions.

LCM of 762,4544 is 1731264 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 34,4892

GCF of Fractions 34/762,4892/4544 is 2/1731264

2 34, 4892
17, 2446

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

Greatest Common Factor of 34,4892 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,4892 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 4892

List of positive integer factors of 4892 that divides 4892 without a remainder.

1,2,4,1223,2446,4892

Greatest Common Factor

We found the factors 34,4892 . The biggest common factor number is the GCF number.
So the greatest common factor 34,4892 is 2.

Lets's calculate LCM of 762,4544

2 762, 4544
381, 2272

∴ So the LCM of the given numbers is 2 x 381 x 2272 = 1731264

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1731264

Therefore, the GCF of Fractions 34/762,4892/4544 is 2/1731264

Least Common Multiple of 762,4544 with GCF Formula

Least Common Multiple of 762,4544 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 762,4544 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(762,4544) = 2

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

GCF(762,4544) x common factors =2 x 1 = 2

LCM(762,4544) = ( 762 × 4544 ) / 2

LCM(762,4544) = 3462528 / 2

LCM(762,4544) = 1731264


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 34/762, 4892/4544

1. 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.

2. What is the GCF of Fractions for 34/762, 4892/4544?

Answer: GCF of Numerators as per given numbers 34/762, 4892/4544 is

GCF of Numerators i.e. for 34,4892 is 2

LCM of denominators i.e. for 762,4544 is 1731264.

Thus, GCF of Fractions is 2/1731264.Finally, GCF of Fractions for 34/762, 4892/4544 is 2/1731264.