Greatest Common Factor of 826/64, 162/3074

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 826/64, 162/3074

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 826/64,162/3074

Given fractions are 826/64,162/3074

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 826,162

Greatest Common Factor of Numerators i.e. GCF of 826,162 is 2 .

LCM of Denominators means LCM of 64,3074 as per the given fractions.

LCM of 64,3074 is 98368 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 826,162

GCF of Fractions 826/64,162/3074 is 2/98368

2 826, 162
413, 81

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

Greatest Common Factor of 826,162 By Matching Biggest Common Factor Method

Greatest Common Factor of 826,162 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 162

List of positive integer factors of 162 that divides 162 without a remainder.

1,2,3,6,9,18,27,54,81,162

Greatest Common Factor

We found the factors 826,162 . The biggest common factor number is the GCF number.
So the greatest common factor 826,162 is 2.

Lets's calculate LCM of 64,3074

2 64, 3074
32, 1537

∴ So the LCM of the given numbers is 2 x 32 x 1537 = 98368

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/98368

Therefore, the GCF of Fractions 826/64,162/3074 is 2/98368

Least Common Multiple of 64,3074 with GCF Formula

Least Common Multiple of 64,3074 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 64,3074 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,3074) = 2

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

GCF(64,3074) x common factors =2 x 1 = 2

LCM(64,3074) = ( 64 × 3074 ) / 2

LCM(64,3074) = 196736 / 2

LCM(64,3074) = 98368


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 826/64, 162/3074

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 826/64, 162/3074?

Answer: GCF of Numerators as per given numbers 826/64, 162/3074 is

GCF of Numerators i.e. for 826,162 is 2

LCM of denominators i.e. for 64,3074 is 98368.

Thus, GCF of Fractions is 2/98368.Finally, GCF of Fractions for 826/64, 162/3074 is 2/98368.