Greatest Common Factor of 71/607, 128/715, 450/775

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 71/607, 128/715, 450/775

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 71/607,128/715,450/775

Given fractions are 71/607,128/715,450/775

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 71,128,450

Greatest Common Factor of Numerators i.e. GCF of 71,128,450 is 1 .

LCM of Denominators means LCM of 607,715,775 as per the given fractions.

LCM of 607,715,775 is 67270775 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 71,128,450

GCF of Fractions 71/607,128/715,450/775 is 1/67270775

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

Greatest Common Factor of 71,128,450 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,128,450 By Matching Biggest Common Factor Method

Factors of 71

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

1,71

Factors of 128

List of positive integer factors of 128 that divides 128 without a remainder.

1,2,4,8,16,32,64,128

Factors of 450

List of positive integer factors of 450 that divides 450 without a remainder.

1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450

Greatest Common Factor

We found the factors 71,128,450 . The biggest common factor number is the GCF number.
So the greatest common factor 71,128,450 is 1.

Lets's calculate LCM of 607,715,775

5 607, 715, 775
607, 143, 155

∴ So the LCM of the given numbers is 5 x 607 x 143 x 155 = 67270775

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/67270775

Therefore, the GCF of Fractions 71/607,128/715,450/775 is 1/67270775

Least Common Multiple of 607,715,775 with GCF Formula

Least Common Multiple of 607,715,775 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 607,715,775 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(607,715,775) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(607,715,775) x common factors =1 x 5 = 5

LCM(607,715,775) = ( 607 × 715 × 775 ) / 5

LCM(607,715,775) = 336353875 / 5

LCM(607,715,775) = 67270775


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 71/607, 128/715, 450/775

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 71/607, 128/715, 450/775?

Answer: GCF of Numerators as per given numbers 71/607, 128/715, 450/775 is

GCF of Numerators i.e. for 71,128,450 is 1

LCM of denominators i.e. for 607,715,775 is 67270775.

Thus, GCF of Fractions is 1/67270775.Finally, GCF of Fractions for 71/607, 128/715, 450/775 is 1/67270775.