Greatest Common Factor of 5/93, 34/22, 59/840, 640/101

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5/93, 34/22, 59/840, 640/101

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 5/93,34/22,59/840,640/101

Given fractions are 5/93,34/22,59/840,640/101

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 5,34,59,640

Greatest Common Factor of Numerators i.e. GCF of 5,34,59,640 is 1 .

LCM of Denominators means LCM of 93,22,840,101 as per the given fractions.

LCM of 93,22,840,101 is 28930440 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5,34,59,640

GCF of Fractions 5/93,34/22,59/840,640/101 is 1/28930440

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

Greatest Common Factor of 5,34,59,640 By Matching Biggest Common Factor Method

Greatest Common Factor of 5,34,59,640 By Matching Biggest Common Factor Method

Factors of 5

List of positive integer factors of 5 that divides 5 without a remainder.

1,5

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 59

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

1,59

Factors of 640

List of positive integer factors of 640 that divides 640 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,128,160,320,640

Greatest Common Factor

We found the factors 5,34,59,640 . The biggest common factor number is the GCF number.
So the greatest common factor 5,34,59,640 is 1.

Lets's calculate LCM of 93,22,840,101

2 93, 22, 840, 101
3 93, 11, 420, 101
31, 11, 140, 101

∴ So the LCM of the given numbers is 2 x 3 x 31 x 11 x 140 x 101 = 28930440

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28930440

Therefore, the GCF of Fractions 5/93,34/22,59/840,640/101 is 1/28930440

Least Common Multiple of 93,22,840,101 with GCF Formula

Least Common Multiple of 93,22,840,101 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 93,22,840,101 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(93,22,840,101) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(93,22,840,101) x common factors =1 x 6 = 6

LCM(93,22,840,101) = ( 93 × 22 × 840 × 101 ) / 6

LCM(93,22,840,101) = 173582640 / 6

LCM(93,22,840,101) = 28930440


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 5/93, 34/22, 59/840, 640/101

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 5/93, 34/22, 59/840, 640/101?

Answer: GCF of Numerators as per given numbers 5/93, 34/22, 59/840, 640/101 is

GCF of Numerators i.e. for 5,34,59,640 is 1

LCM of denominators i.e. for 93,22,840,101 is 28930440.

Thus, GCF of Fractions is 1/28930440.Finally, GCF of Fractions for 5/93, 34/22, 59/840, 640/101 is 1/28930440.