Greatest Common Factor of 4672/10, 7289/785

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4672/10, 7289/785

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 4672/10,7289/785

Given fractions are 4672/10,7289/785

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 4672,7289

Greatest Common Factor of Numerators i.e. GCF of 4672,7289 is 1 .

LCM of Denominators means LCM of 10,785 as per the given fractions.

LCM of 10,785 is 1570 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4672,7289

GCF of Fractions 4672/10,7289/785 is 1/1570

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

Greatest Common Factor of 4672,7289 By Matching Biggest Common Factor Method

Greatest Common Factor of 4672,7289 By Matching Biggest Common Factor Method

Factors of 4672

List of positive integer factors of 4672 that divides 4672 without a remainder.

1,2,4,8,16,32,64,73,146,292,584,1168,2336,4672

Factors of 7289

List of positive integer factors of 7289 that divides 7289 without a remainder.

1,37,197,7289

Greatest Common Factor

We found the factors 4672,7289 . The biggest common factor number is the GCF number.
So the greatest common factor 4672,7289 is 1.

Lets's calculate LCM of 10,785

5 10, 785
2, 157

∴ So the LCM of the given numbers is 5 x 2 x 157 = 1570

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1570

Therefore, the GCF of Fractions 4672/10,7289/785 is 1/1570

Least Common Multiple of 10,785 with GCF Formula

Least Common Multiple of 10,785 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 10,785 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,785) = 5

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

GCF(10,785) x common factors =5 x 1 = 5

LCM(10,785) = ( 10 × 785 ) / 5

LCM(10,785) = 7850 / 5

LCM(10,785) = 1570


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 4672/10, 7289/785

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 4672/10, 7289/785?

Answer: GCF of Numerators as per given numbers 4672/10, 7289/785 is

GCF of Numerators i.e. for 4672,7289 is 1

LCM of denominators i.e. for 10,785 is 1570.

Thus, GCF of Fractions is 1/1570.Finally, GCF of Fractions for 4672/10, 7289/785 is 1/1570.