Greatest Common Factor of 1/64, 61/93, 78/199, 265/296

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1/64, 61/93, 78/199, 265/296

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 1/64,61/93,78/199,265/296

Given fractions are 1/64,61/93,78/199,265/296

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 1,61,78,265

Greatest Common Factor of Numerators i.e. GCF of 1,61,78,265 is 1 .

LCM of Denominators means LCM of 64,93,199,296 as per the given fractions.

LCM of 64,93,199,296 is 43824576 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1,61,78,265

GCF of Fractions 1/64,61/93,78/199,265/296 is 1/43824576

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

Greatest Common Factor of 1,61,78,265 By Matching Biggest Common Factor Method

Greatest Common Factor of 1,61,78,265 By Matching Biggest Common Factor Method

Factors of 1

List of positive integer factors of 1 that divides 1 without a remainder.

1

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 265

List of positive integer factors of 265 that divides 265 without a remainder.

1,5,53,265

Greatest Common Factor

We found the factors 1,61,78,265 . The biggest common factor number is the GCF number.
So the greatest common factor 1,61,78,265 is 1.

Lets's calculate LCM of 64,93,199,296

2 64, 93, 199, 296
2 32, 93, 199, 148
2 16, 93, 199, 74
8, 93, 199, 37

∴ So the LCM of the given numbers is 2 x 2 x 2 x 8 x 93 x 199 x 37 = 43824576

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/43824576

Therefore, the GCF of Fractions 1/64,61/93,78/199,265/296 is 1/43824576

Least Common Multiple of 64,93,199,296 with GCF Formula

Least Common Multiple of 64,93,199,296 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 64,93,199,296 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,93,199,296) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(64,93,199,296) x common factors =1 x 8 = 8

LCM(64,93,199,296) = ( 64 × 93 × 199 × 296 ) / 8

LCM(64,93,199,296) = 350596608 / 8

LCM(64,93,199,296) = 43824576


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 1/64, 61/93, 78/199, 265/296

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 1/64, 61/93, 78/199, 265/296?

Answer: GCF of Numerators as per given numbers 1/64, 61/93, 78/199, 265/296 is

GCF of Numerators i.e. for 1,61,78,265 is 1

LCM of denominators i.e. for 64,93,199,296 is 43824576.

Thus, GCF of Fractions is 1/43824576.Finally, GCF of Fractions for 1/64, 61/93, 78/199, 265/296 is 1/43824576.