Greatest Common Factor of 72/774, 12/562, 925/162

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 72/774, 12/562, 925/162

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 72/774,12/562,925/162

Given fractions are 72/774,12/562,925/162

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 72,12,925

Greatest Common Factor of Numerators i.e. GCF of 72,12,925 is 1 .

LCM of Denominators means LCM of 774,562,162 as per the given fractions.

LCM of 774,562,162 is 1957446 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 72,12,925

GCF of Fractions 72/774,12/562,925/162 is 1/1957446

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

Greatest Common Factor of 72,12,925 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,12,925 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 925

List of positive integer factors of 925 that divides 925 without a remainder.

1,5,25,37,185,925

Greatest Common Factor

We found the factors 72,12,925 . The biggest common factor number is the GCF number.
So the greatest common factor 72,12,925 is 1.

Lets's calculate LCM of 774,562,162

2 774, 562, 162
3 387, 281, 81
3 129, 281, 27
43, 281, 9

∴ So the LCM of the given numbers is 2 x 3 x 3 x 43 x 281 x 9 = 1957446

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1957446

Therefore, the GCF of Fractions 72/774,12/562,925/162 is 1/1957446

Least Common Multiple of 774,562,162 with GCF Formula

Least Common Multiple of 774,562,162 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 774,562,162 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(774,562,162) = 2

common factors(in case of two or more numbers have common factors) = 18

GCF(774,562,162) x common factors =2 x 18 = 36

LCM(774,562,162) = ( 774 × 562 × 162 ) / 36

LCM(774,562,162) = 70468056 / 36

LCM(774,562,162) = 1957446


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 72/774, 12/562, 925/162

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 72/774, 12/562, 925/162?

Answer: GCF of Numerators as per given numbers 72/774, 12/562, 925/162 is

GCF of Numerators i.e. for 72,12,925 is 1

LCM of denominators i.e. for 774,562,162 is 1957446.

Thus, GCF of Fractions is 1/1957446.Finally, GCF of Fractions for 72/774, 12/562, 925/162 is 1/1957446.