Greatest Common Factor of 910/925, 928/518, 326/689

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 910/925, 928/518, 326/689

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 910/925,928/518,326/689

Given fractions are 910/925,928/518,326/689

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 910,928,326

Greatest Common Factor of Numerators i.e. GCF of 910,928,326 is 2 .

LCM of Denominators means LCM of 925,518,689 as per the given fractions.

LCM of 925,518,689 is 8922550 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 910,928,326

GCF of Fractions 910/925,928/518,326/689 is 2/8922550

2 910, 928, 326
455, 464, 163

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

Greatest Common Factor of 910,928,326 By Matching Biggest Common Factor Method

Greatest Common Factor of 910,928,326 By Matching Biggest Common Factor Method

Factors of 910

List of positive integer factors of 910 that divides 910 without a remainder.

1,2,5,7,10,13,14,26,35,65,70,91,130,182,455,910

Factors of 928

List of positive integer factors of 928 that divides 928 without a remainder.

1,2,4,8,16,29,32,58,116,232,464,928

Factors of 326

List of positive integer factors of 326 that divides 326 without a remainder.

1,2,163,326

Greatest Common Factor

We found the factors 910,928,326 . The biggest common factor number is the GCF number.
So the greatest common factor 910,928,326 is 2.

Lets's calculate LCM of 925,518,689

37 925, 518, 689
25, 14, 689

∴ So the LCM of the given numbers is 37 x 25 x 14 x 689 = 8922550

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/8922550

Therefore, the GCF of Fractions 910/925,928/518,326/689 is 2/8922550

Least Common Multiple of 925,518,689 with GCF Formula

Least Common Multiple of 925,518,689 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 925,518,689 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(925,518,689) = 1

common factors(in case of two or more numbers have common factors) = 37

GCF(925,518,689) x common factors =1 x 37 = 37

LCM(925,518,689) = ( 925 × 518 × 689 ) / 37

LCM(925,518,689) = 330134350 / 37

LCM(925,518,689) = 8922550


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 910/925, 928/518, 326/689

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 910/925, 928/518, 326/689?

Answer: GCF of Numerators as per given numbers 910/925, 928/518, 326/689 is

GCF of Numerators i.e. for 910,928,326 is 2

LCM of denominators i.e. for 925,518,689 is 8922550.

Thus, GCF of Fractions is 2/8922550.Finally, GCF of Fractions for 910/925, 928/518, 326/689 is 2/8922550.