Greatest Common Factor of 61/64, 59/60, 783/494

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 61/64, 59/60, 783/494

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 61/64,59/60,783/494

Given fractions are 61/64,59/60,783/494

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 61,59,783

Greatest Common Factor of Numerators i.e. GCF of 61,59,783 is 1 .

LCM of Denominators means LCM of 64,60,494 as per the given fractions.

LCM of 64,60,494 is 237120 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 61,59,783

GCF of Fractions 61/64,59/60,783/494 is 1/237120

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

Greatest Common Factor of 61,59,783 By Matching Biggest Common Factor Method

Greatest Common Factor of 61,59,783 By Matching Biggest Common Factor Method

Factors of 61

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

1,61

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 783

List of positive integer factors of 783 that divides 783 without a remainder.

1,3,9,27,29,87,261,783

Greatest Common Factor

We found the factors 61,59,783 . The biggest common factor number is the GCF number.
So the greatest common factor 61,59,783 is 1.

Lets's calculate LCM of 64,60,494

2 64, 60, 494
2 32, 30, 247
16, 15, 247

∴ So the LCM of the given numbers is 2 x 2 x 16 x 15 x 247 = 237120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/237120

Therefore, the GCF of Fractions 61/64,59/60,783/494 is 1/237120

Least Common Multiple of 64,60,494 with GCF Formula

Least Common Multiple of 64,60,494 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 64,60,494 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,60,494) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(64,60,494) x common factors =2 x 4 = 8

LCM(64,60,494) = ( 64 × 60 × 494 ) / 8

LCM(64,60,494) = 1896960 / 8

LCM(64,60,494) = 237120


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 61/64, 59/60, 783/494

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 61/64, 59/60, 783/494?

Answer: GCF of Numerators as per given numbers 61/64, 59/60, 783/494 is

GCF of Numerators i.e. for 61,59,783 is 1

LCM of denominators i.e. for 64,60,494 is 237120.

Thus, GCF of Fractions is 1/237120.Finally, GCF of Fractions for 61/64, 59/60, 783/494 is 1/237120.