Greatest Common Factor of 3495/980, 4729/2577

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3495/980, 4729/2577

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 3495/980,4729/2577

Given fractions are 3495/980,4729/2577

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 3495,4729

Greatest Common Factor of Numerators i.e. GCF of 3495,4729 is 1 .

LCM of Denominators means LCM of 980,2577 as per the given fractions.

LCM of 980,2577 is 2525460 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3495,4729

GCF of Fractions 3495/980,4729/2577 is 1/2525460

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

Greatest Common Factor of 3495,4729 By Matching Biggest Common Factor Method

Greatest Common Factor of 3495,4729 By Matching Biggest Common Factor Method

Factors of 3495

List of positive integer factors of 3495 that divides 3495 without a remainder.

1,3,5,15,233,699,1165,3495

Factors of 4729

List of positive integer factors of 4729 that divides 4729 without a remainder.

1,4729

Greatest Common Factor

We found the factors 3495,4729 . The biggest common factor number is the GCF number.
So the greatest common factor 3495,4729 is 1.

Lets's calculate LCM of 980,2577

Given numbers has no common factors except 1. So, there LCM is their product i.e 2525460

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2525460

Therefore, the GCF of Fractions 3495/980,4729/2577 is 1/2525460

Least Common Multiple of 980,2577 with GCF Formula

Least Common Multiple of 980,2577 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 980,2577 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(980,2577) = 1

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

GCF(980,2577) x common factors =1 x 1 = 1

LCM(980,2577) = ( 980 × 2577 ) / 1

LCM(980,2577) = 2525460 / 1

LCM(980,2577) = 2525460


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 3495/980, 4729/2577

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 3495/980, 4729/2577?

Answer: GCF of Numerators as per given numbers 3495/980, 4729/2577 is

GCF of Numerators i.e. for 3495,4729 is 1

LCM of denominators i.e. for 980,2577 is 2525460.

Thus, GCF of Fractions is 1/2525460.Finally, GCF of Fractions for 3495/980, 4729/2577 is 1/2525460.