Greatest Common Factor of 652/316, 648/229, 544/997

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 652/316, 648/229, 544/997

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 652/316,648/229,544/997

Given fractions are 652/316,648/229,544/997

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 652,648,544

Greatest Common Factor of Numerators i.e. GCF of 652,648,544 is 4 .

LCM of Denominators means LCM of 316,229,997 as per the given fractions.

LCM of 316,229,997 is 72146908 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 652,648,544

GCF of Fractions 652/316,648/229,544/997 is 4/72146908

2 652, 648, 544
2 326, 324, 272
163, 162, 136

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 652,648,544 By Matching Biggest Common Factor Method

Greatest Common Factor of 652,648,544 By Matching Biggest Common Factor Method

Factors of 652

List of positive integer factors of 652 that divides 652 without a remainder.

1,2,4,163,326,652

Factors of 648

List of positive integer factors of 648 that divides 648 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648

Factors of 544

List of positive integer factors of 544 that divides 544 without a remainder.

1,2,4,8,16,17,32,34,68,136,272,544

Greatest Common Factor

We found the factors 652,648,544 . The biggest common factor number is the GCF number.
So the greatest common factor 652,648,544 is 4.

Lets's calculate LCM of 316,229,997

Given numbers has no common factors except 1. So, there LCM is their product i.e 72146908

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/72146908

Therefore, the GCF of Fractions 652/316,648/229,544/997 is 4/72146908

Least Common Multiple of 316,229,997 with GCF Formula

Least Common Multiple of 316,229,997 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 316,229,997 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(316,229,997) = 1

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

GCF(316,229,997) x common factors =1 x 1 = 1

LCM(316,229,997) = ( 316 × 229 × 997 ) / 1

LCM(316,229,997) = 72146908 / 1

LCM(316,229,997) = 72146908


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 652/316, 648/229, 544/997

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 652/316, 648/229, 544/997?

Answer: GCF of Numerators as per given numbers 652/316, 648/229, 544/997 is

GCF of Numerators i.e. for 652,648,544 is 4

LCM of denominators i.e. for 316,229,997 is 72146908.

Thus, GCF of Fractions is 4/72146908.Finally, GCF of Fractions for 652/316, 648/229, 544/997 is 4/72146908.