Greatest Common Factor of 5/88, 71/18, 74/250, 640/457

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5/88, 71/18, 74/250, 640/457

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 5/88,71/18,74/250,640/457

Given fractions are 5/88,71/18,74/250,640/457

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 5,71,74,640

Greatest Common Factor of Numerators i.e. GCF of 5,71,74,640 is 1 .

LCM of Denominators means LCM of 88,18,250,457 as per the given fractions.

LCM of 88,18,250,457 is 45243000 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5,71,74,640

GCF of Fractions 5/88,71/18,74/250,640/457 is 1/45243000

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

Greatest Common Factor of 5,71,74,640 By Matching Biggest Common Factor Method

Greatest Common Factor of 5,71,74,640 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 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

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 5,71,74,640 . The biggest common factor number is the GCF number.
So the greatest common factor 5,71,74,640 is 1.

Lets's calculate LCM of 88,18,250,457

2 88, 18, 250, 457
44, 9, 125, 457

∴ So the LCM of the given numbers is 2 x 44 x 9 x 125 x 457 = 45243000

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/45243000

Therefore, the GCF of Fractions 5/88,71/18,74/250,640/457 is 1/45243000

Least Common Multiple of 88,18,250,457 with GCF Formula

Least Common Multiple of 88,18,250,457 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 88,18,250,457 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,18,250,457) = 1

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

GCF(88,18,250,457) x common factors =1 x 4 = 4

LCM(88,18,250,457) = ( 88 × 18 × 250 × 457 ) / 4

LCM(88,18,250,457) = 180972000 / 4

LCM(88,18,250,457) = 45243000


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 5/88, 71/18, 74/250, 640/457

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 5/88, 71/18, 74/250, 640/457?

Answer: GCF of Numerators as per given numbers 5/88, 71/18, 74/250, 640/457 is

GCF of Numerators i.e. for 5,71,74,640 is 1

LCM of denominators i.e. for 88,18,250,457 is 45243000.

Thus, GCF of Fractions is 1/45243000.Finally, GCF of Fractions for 5/88, 71/18, 74/250, 640/457 is 1/45243000.