Greatest Common Factor of 160/63, 372/87, 765/127

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 160/63, 372/87, 765/127

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 160/63,372/87,765/127

Given fractions are 160/63,372/87,765/127

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 160,372,765

Greatest Common Factor of Numerators i.e. GCF of 160,372,765 is 1 .

LCM of Denominators means LCM of 63,87,127 as per the given fractions.

LCM of 63,87,127 is 232029 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 160,372,765

GCF of Fractions 160/63,372/87,765/127 is 1/232029

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

Greatest Common Factor of 160,372,765 By Matching Biggest Common Factor Method

Greatest Common Factor of 160,372,765 By Matching Biggest Common Factor Method

Factors of 160

List of positive integer factors of 160 that divides 160 without a remainder.

1,2,4,5,8,10,16,20,32,40,80,160

Factors of 372

List of positive integer factors of 372 that divides 372 without a remainder.

1,2,3,4,6,12,31,62,93,124,186,372

Factors of 765

List of positive integer factors of 765 that divides 765 without a remainder.

1,3,5,9,15,17,45,51,85,153,255,765

Greatest Common Factor

We found the factors 160,372,765 . The biggest common factor number is the GCF number.
So the greatest common factor 160,372,765 is 1.


Lets's calculate LCM of 63,87,127

3 63, 87, 127
21, 29, 127

∴ So the LCM of the given numbers is 3 x 21 x 29 x 127 = 232029

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/232029

Therefore, the GCF of Fractions 160/63,372/87,765/127 is 1/232029

Least Common Multiple of 63,87,127 with GCF Formula

Least Common Multiple of 63,87,127 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 63,87,127 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(63,87,127) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(63,87,127) x common factors =1 x 3 = 3

LCM(63,87,127) = ( 63 × 87 × 127 ) / 3

LCM(63,87,127) = 696087 / 3

LCM(63,87,127) = 232029


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 160/63, 372/87, 765/127

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 160/63, 372/87, 765/127?

Answer: GCF of Numerators as per given numbers 160/63, 372/87, 765/127 is

GCF of Numerators i.e. for 160,372,765 is 1

LCM of denominators i.e. for 63,87,127 is 232029.

Thus, GCF of Fractions is 1/232029.Finally, GCF of Fractions for 160/63, 372/87, 765/127 is 1/232029.