Greatest Common Factor of 176/1640, 638/2507

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 176/1640, 638/2507

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 176/1640,638/2507

Given fractions are 176/1640,638/2507

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 176,638

Greatest Common Factor of Numerators i.e. GCF of 176,638 is 22 .

LCM of Denominators means LCM of 1640,2507 as per the given fractions.

LCM of 1640,2507 is 4111480 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 176,638

GCF of Fractions 176/1640,638/2507 is 22/4111480

2 176, 638
11 88, 319
8, 29

∴ So the GCF of the given numbers is 2 x 11 = 22

Greatest Common Factor of 176,638 By Matching Biggest Common Factor Method

Greatest Common Factor of 176,638 By Matching Biggest Common Factor Method

Factors of 176

List of positive integer factors of 176 that divides 176 without a remainder.

1,2,4,8,11,16,22,44,88,176

Factors of 638

List of positive integer factors of 638 that divides 638 without a remainder.

1,2,11,22,29,58,319,638

Greatest Common Factor

We found the factors 176,638 . The biggest common factor number is the GCF number.
So the greatest common factor 176,638 is 22.

Lets's calculate LCM of 1640,2507

Given numbers has no common factors except 1. So, there LCM is their product i.e 4111480

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/4111480

Therefore, the GCF of Fractions 176/1640,638/2507 is 22/4111480

Least Common Multiple of 1640,2507 with GCF Formula

Least Common Multiple of 1640,2507 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 1640,2507 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1640,2507) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(1640,2507) x common factors =1 x 1 = 1

LCM(1640,2507) = ( 1640 × 2507 ) / 1

LCM(1640,2507) = 4111480 / 1

LCM(1640,2507) = 4111480


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 176/1640, 638/2507

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 176/1640, 638/2507?

Answer: GCF of Numerators as per given numbers 176/1640, 638/2507 is

GCF of Numerators i.e. for 176,638 is 22

LCM of denominators i.e. for 1640,2507 is 4111480.

Thus, GCF of Fractions is 22/4111480.Finally, GCF of Fractions for 176/1640, 638/2507 is 22/4111480.