Greatest Common Factor of 4745/854, 3765/788

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4745/854, 3765/788

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 4745/854,3765/788

Given fractions are 4745/854,3765/788

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 4745,3765

Greatest Common Factor of Numerators i.e. GCF of 4745,3765 is 5 .

LCM of Denominators means LCM of 854,788 as per the given fractions.

LCM of 854,788 is 336476 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4745,3765

GCF of Fractions 4745/854,3765/788 is 5/336476

5 4745, 3765
949, 753

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 4745,3765 By Matching Biggest Common Factor Method

Greatest Common Factor of 4745,3765 By Matching Biggest Common Factor Method

Factors of 4745

List of positive integer factors of 4745 that divides 4745 without a remainder.

1,5,13,65,73,365,949,4745

Factors of 3765

List of positive integer factors of 3765 that divides 3765 without a remainder.

1,3,5,15,251,753,1255,3765

Greatest Common Factor

We found the factors 4745,3765 . The biggest common factor number is the GCF number.
So the greatest common factor 4745,3765 is 5.

Lets's calculate LCM of 854,788

2 854, 788
427, 394

∴ So the LCM of the given numbers is 2 x 427 x 394 = 336476

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/336476

Therefore, the GCF of Fractions 4745/854,3765/788 is 5/336476

Least Common Multiple of 854,788 with GCF Formula

Least Common Multiple of 854,788 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 854,788 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(854,788) = 2

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

GCF(854,788) x common factors =2 x 1 = 2

LCM(854,788) = ( 854 × 788 ) / 2

LCM(854,788) = 672952 / 2

LCM(854,788) = 336476


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 4745/854, 3765/788

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 4745/854, 3765/788?

Answer: GCF of Numerators as per given numbers 4745/854, 3765/788 is

GCF of Numerators i.e. for 4745,3765 is 5

LCM of denominators i.e. for 854,788 is 336476.

Thus, GCF of Fractions is 5/336476.Finally, GCF of Fractions for 4745/854, 3765/788 is 5/336476.