Greatest Common Factor of 5675/49, 7255/520

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5675/49, 7255/520

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 5675/49,7255/520

Given fractions are 5675/49,7255/520

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 5675,7255

Greatest Common Factor of Numerators i.e. GCF of 5675,7255 is 5 .

LCM of Denominators means LCM of 49,520 as per the given fractions.

LCM of 49,520 is 25480 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5675,7255

GCF of Fractions 5675/49,7255/520 is 5/25480

5 5675, 7255
1135, 1451

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

Greatest Common Factor of 5675,7255 By Matching Biggest Common Factor Method

Greatest Common Factor of 5675,7255 By Matching Biggest Common Factor Method

Factors of 5675

List of positive integer factors of 5675 that divides 5675 without a remainder.

1,5,25,227,1135,5675

Factors of 7255

List of positive integer factors of 7255 that divides 7255 without a remainder.

1,5,1451,7255

Greatest Common Factor

We found the factors 5675,7255 . The biggest common factor number is the GCF number.
So the greatest common factor 5675,7255 is 5.

Lets's calculate LCM of 49,520

Given numbers has no common factors except 1. So, there LCM is their product i.e 25480

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/25480

Therefore, the GCF of Fractions 5675/49,7255/520 is 5/25480

Least Common Multiple of 49,520 with GCF Formula

Least Common Multiple of 49,520 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 49,520 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,520) = 1

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

GCF(49,520) x common factors =1 x 1 = 1

LCM(49,520) = ( 49 × 520 ) / 1

LCM(49,520) = 25480 / 1

LCM(49,520) = 25480


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 5675/49, 7255/520

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 5675/49, 7255/520?

Answer: GCF of Numerators as per given numbers 5675/49, 7255/520 is

GCF of Numerators i.e. for 5675,7255 is 5

LCM of denominators i.e. for 49,520 is 25480.

Thus, GCF of Fractions is 5/25480.Finally, GCF of Fractions for 5675/49, 7255/520 is 5/25480.