Greatest Common Factor of 4975/170, 1563/9278

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4975/170, 1563/9278

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 4975/170,1563/9278

Given fractions are 4975/170,1563/9278

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 4975,1563

Greatest Common Factor of Numerators i.e. GCF of 4975,1563 is 1 .

LCM of Denominators means LCM of 170,9278 as per the given fractions.

LCM of 170,9278 is 788630 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4975,1563

GCF of Fractions 4975/170,1563/9278 is 1/788630

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

Greatest Common Factor of 4975,1563 By Matching Biggest Common Factor Method

Greatest Common Factor of 4975,1563 By Matching Biggest Common Factor Method

Factors of 4975

List of positive integer factors of 4975 that divides 4975 without a remainder.

1,5,25,199,995,4975

Factors of 1563

List of positive integer factors of 1563 that divides 1563 without a remainder.

1,3,521,1563

Greatest Common Factor

We found the factors 4975,1563 . The biggest common factor number is the GCF number.
So the greatest common factor 4975,1563 is 1.

Lets's calculate LCM of 170,9278

2 170, 9278
85, 4639

∴ So the LCM of the given numbers is 2 x 85 x 4639 = 788630

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/788630

Therefore, the GCF of Fractions 4975/170,1563/9278 is 1/788630

Least Common Multiple of 170,9278 with GCF Formula

Least Common Multiple of 170,9278 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 170,9278 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(170,9278) = 2

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

GCF(170,9278) x common factors =2 x 1 = 2

LCM(170,9278) = ( 170 × 9278 ) / 2

LCM(170,9278) = 1577260 / 2

LCM(170,9278) = 788630


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 4975/170, 1563/9278

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 4975/170, 1563/9278?

Answer: GCF of Numerators as per given numbers 4975/170, 1563/9278 is

GCF of Numerators i.e. for 4975,1563 is 1

LCM of denominators i.e. for 170,9278 is 788630.

Thus, GCF of Fractions is 1/788630.Finally, GCF of Fractions for 4975/170, 1563/9278 is 1/788630.