Greatest Common Factor of 1/29, 32/31, 53/292, 340/960

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1/29, 32/31, 53/292, 340/960

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 1/29,32/31,53/292,340/960

Given fractions are 1/29,32/31,53/292,340/960

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 1,32,53,340

Greatest Common Factor of Numerators i.e. GCF of 1,32,53,340 is 1 .

LCM of Denominators means LCM of 29,31,292,960 as per the given fractions.

LCM of 29,31,292,960 is 63001920 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1,32,53,340

GCF of Fractions 1/29,32/31,53/292,340/960 is 1/63001920

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

Greatest Common Factor of 1,32,53,340 By Matching Biggest Common Factor Method

Greatest Common Factor of 1,32,53,340 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 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 340

List of positive integer factors of 340 that divides 340 without a remainder.

1,2,4,5,10,17,20,34,68,85,170,340

Greatest Common Factor

We found the factors 1,32,53,340 . The biggest common factor number is the GCF number.
So the greatest common factor 1,32,53,340 is 1.

Lets's calculate LCM of 29,31,292,960

2 29, 31, 292, 960
2 29, 31, 146, 480
29, 31, 73, 240

∴ So the LCM of the given numbers is 2 x 2 x 29 x 31 x 73 x 240 = 63001920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/63001920

Therefore, the GCF of Fractions 1/29,32/31,53/292,340/960 is 1/63001920

Least Common Multiple of 29,31,292,960 with GCF Formula

Least Common Multiple of 29,31,292,960 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 29,31,292,960 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,31,292,960) = 1

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

GCF(29,31,292,960) x common factors =1 x 4 = 4

LCM(29,31,292,960) = ( 29 × 31 × 292 × 960 ) / 4

LCM(29,31,292,960) = 252007680 / 4

LCM(29,31,292,960) = 63001920


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 1/29, 32/31, 53/292, 340/960

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 1/29, 32/31, 53/292, 340/960?

Answer: GCF of Numerators as per given numbers 1/29, 32/31, 53/292, 340/960 is

GCF of Numerators i.e. for 1,32,53,340 is 1

LCM of denominators i.e. for 29,31,292,960 is 63001920.

Thus, GCF of Fractions is 1/63001920.Finally, GCF of Fractions for 1/29, 32/31, 53/292, 340/960 is 1/63001920.