Greatest Common Factor of 70/16, 68/32, 926/928

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 70/16, 68/32, 926/928

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 70/16,68/32,926/928

Given fractions are 70/16,68/32,926/928

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 70,68,926

Greatest Common Factor of Numerators i.e. GCF of 70,68,926 is 2 .

LCM of Denominators means LCM of 16,32,928 as per the given fractions.

LCM of 16,32,928 is 928 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 70,68,926

GCF of Fractions 70/16,68/32,926/928 is 2/928

2 70, 68, 926
35, 34, 463

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

Greatest Common Factor of 70,68,926 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,68,926 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 926

List of positive integer factors of 926 that divides 926 without a remainder.

1,2,463,926

Greatest Common Factor

We found the factors 70,68,926 . The biggest common factor number is the GCF number.
So the greatest common factor 70,68,926 is 2.

Lets's calculate LCM of 16,32,928

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

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 1 x 1 x 29 = 928

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/928

Therefore, the GCF of Fractions 70/16,68/32,926/928 is 2/928

Least Common Multiple of 16,32,928 with GCF Formula

Least Common Multiple of 16,32,928 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 16,32,928 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,32,928) = 16

common factors(in case of two or more numbers have common factors) = 32

GCF(16,32,928) x common factors =16 x 32 = 512

LCM(16,32,928) = ( 16 × 32 × 928 ) / 512

LCM(16,32,928) = 475136 / 512

LCM(16,32,928) = 928


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 70/16, 68/32, 926/928

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 70/16, 68/32, 926/928?

Answer: GCF of Numerators as per given numbers 70/16, 68/32, 926/928 is

GCF of Numerators i.e. for 70,68,926 is 2

LCM of denominators i.e. for 16,32,928 is 928.

Thus, GCF of Fractions is 2/928.Finally, GCF of Fractions for 70/16, 68/32, 926/928 is 2/928.