Greatest Common Factor of 949/164, 547/616

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 949/164, 547/616

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 949/164,547/616

Given fractions are 949/164,547/616

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 949,547

Greatest Common Factor of Numerators i.e. GCF of 949,547 is 1 .

LCM of Denominators means LCM of 164,616 as per the given fractions.

LCM of 164,616 is 25256 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 949,547

GCF of Fractions 949/164,547/616 is 1/25256

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

Greatest Common Factor of 949,547 By Matching Biggest Common Factor Method

Greatest Common Factor of 949,547 By Matching Biggest Common Factor Method

Factors of 949

List of positive integer factors of 949 that divides 949 without a remainder.

1,13,73,949

Factors of 547

List of positive integer factors of 547 that divides 547 without a remainder.

1,547

Greatest Common Factor

We found the factors 949,547 . The biggest common factor number is the GCF number.
So the greatest common factor 949,547 is 1.

Lets's calculate LCM of 164,616

2 164, 616
2 82, 308
41, 154

∴ So the LCM of the given numbers is 2 x 2 x 41 x 154 = 25256

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25256

Therefore, the GCF of Fractions 949/164,547/616 is 1/25256

Least Common Multiple of 164,616 with GCF Formula

Least Common Multiple of 164,616 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 164,616 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(164,616) = 4

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

GCF(164,616) x common factors =4 x 1 = 4

LCM(164,616) = ( 164 × 616 ) / 4

LCM(164,616) = 101024 / 4

LCM(164,616) = 25256


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 949/164, 547/616

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 949/164, 547/616?

Answer: GCF of Numerators as per given numbers 949/164, 547/616 is

GCF of Numerators i.e. for 949,547 is 1

LCM of denominators i.e. for 164,616 is 25256.

Thus, GCF of Fractions is 1/25256.Finally, GCF of Fractions for 949/164, 547/616 is 1/25256.