Greatest Common Factor of 221/975, 980/176, 701/715

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 221/975, 980/176, 701/715

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 221/975,980/176,701/715

Given fractions are 221/975,980/176,701/715

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 221,980,701

Greatest Common Factor of Numerators i.e. GCF of 221,980,701 is 1 .

LCM of Denominators means LCM of 975,176,715 as per the given fractions.

LCM of 975,176,715 is 171600 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 221,980,701

GCF of Fractions 221/975,980/176,701/715 is 1/171600

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

Greatest Common Factor of 221,980,701 By Matching Biggest Common Factor Method

Greatest Common Factor of 221,980,701 By Matching Biggest Common Factor Method

Factors of 221

List of positive integer factors of 221 that divides 221 without a remainder.

1,13,17,221

Factors of 980

List of positive integer factors of 980 that divides 980 without a remainder.

1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980

Factors of 701

List of positive integer factors of 701 that divides 701 without a remainder.

1,701

Greatest Common Factor

We found the factors 221,980,701 . The biggest common factor number is the GCF number.
So the greatest common factor 221,980,701 is 1.

Lets's calculate LCM of 975,176,715

5 975, 176, 715
11 195, 176, 143
13 195, 16, 13
15, 16, 1

∴ So the LCM of the given numbers is 5 x 11 x 13 x 15 x 16 x 1 = 171600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/171600

Therefore, the GCF of Fractions 221/975,980/176,701/715 is 1/171600

Least Common Multiple of 975,176,715 with GCF Formula

Least Common Multiple of 975,176,715 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 975,176,715 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(975,176,715) = 1

common factors(in case of two or more numbers have common factors) = 715

GCF(975,176,715) x common factors =1 x 715 = 715

LCM(975,176,715) = ( 975 × 176 × 715 ) / 715

LCM(975,176,715) = 122694000 / 715

LCM(975,176,715) = 171600


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 221/975, 980/176, 701/715

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 221/975, 980/176, 701/715?

Answer: GCF of Numerators as per given numbers 221/975, 980/176, 701/715 is

GCF of Numerators i.e. for 221,980,701 is 1

LCM of denominators i.e. for 975,176,715 is 171600.

Thus, GCF of Fractions is 1/171600.Finally, GCF of Fractions for 221/975, 980/176, 701/715 is 1/171600.