Greatest Common Factor of 826/155, 8896/3692

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 826/155, 8896/3692

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 826/155,8896/3692

Given fractions are 826/155,8896/3692

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 826,8896

Greatest Common Factor of Numerators i.e. GCF of 826,8896 is 2 .

LCM of Denominators means LCM of 155,3692 as per the given fractions.

LCM of 155,3692 is 572260 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 826,8896

GCF of Fractions 826/155,8896/3692 is 2/572260

2 826, 8896
413, 4448

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

Greatest Common Factor of 826,8896 By Matching Biggest Common Factor Method

Greatest Common Factor of 826,8896 By Matching Biggest Common Factor Method

Factors of 826

List of positive integer factors of 826 that divides 826 without a remainder.

1,2,7,14,59,118,413,826

Factors of 8896

List of positive integer factors of 8896 that divides 8896 without a remainder.

1,2,4,8,16,32,64,139,278,556,1112,2224,4448,8896

Greatest Common Factor

We found the factors 826,8896 . The biggest common factor number is the GCF number.
So the greatest common factor 826,8896 is 2.

Lets's calculate LCM of 155,3692

Given numbers has no common factors except 1. So, there LCM is their product i.e 572260

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/572260

Therefore, the GCF of Fractions 826/155,8896/3692 is 2/572260

Least Common Multiple of 155,3692 with GCF Formula

Least Common Multiple of 155,3692 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 155,3692 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(155,3692) = 1

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

GCF(155,3692) x common factors =1 x 1 = 1

LCM(155,3692) = ( 155 × 3692 ) / 1

LCM(155,3692) = 572260 / 1

LCM(155,3692) = 572260


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 826/155, 8896/3692

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 826/155, 8896/3692?

Answer: GCF of Numerators as per given numbers 826/155, 8896/3692 is

GCF of Numerators i.e. for 826,8896 is 2

LCM of denominators i.e. for 155,3692 is 572260.

Thus, GCF of Fractions is 2/572260.Finally, GCF of Fractions for 826/155, 8896/3692 is 2/572260.