Greatest Common Factor of 75/901, 178/182, 686/281

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 75/901, 178/182, 686/281

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 75/901,178/182,686/281

Given fractions are 75/901,178/182,686/281

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 75,178,686

Greatest Common Factor of Numerators i.e. GCF of 75,178,686 is 1 .

LCM of Denominators means LCM of 901,182,281 as per the given fractions.

LCM of 901,182,281 is 46078942 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 75,178,686

GCF of Fractions 75/901,178/182,686/281 is 1/46078942

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

Greatest Common Factor of 75,178,686 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,178,686 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 178

List of positive integer factors of 178 that divides 178 without a remainder.

1,2,89,178

Factors of 686

List of positive integer factors of 686 that divides 686 without a remainder.

1,2,7,14,49,98,343,686

Greatest Common Factor

We found the factors 75,178,686 . The biggest common factor number is the GCF number.
So the greatest common factor 75,178,686 is 1.

Lets's calculate LCM of 901,182,281

Given numbers has no common factors except 1. So, there LCM is their product i.e 46078942

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/46078942

Therefore, the GCF of Fractions 75/901,178/182,686/281 is 1/46078942

Least Common Multiple of 901,182,281 with GCF Formula

Least Common Multiple of 901,182,281 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 901,182,281 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(901,182,281) = 1

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

GCF(901,182,281) x common factors =1 x 1 = 1

LCM(901,182,281) = ( 901 × 182 × 281 ) / 1

LCM(901,182,281) = 46078942 / 1

LCM(901,182,281) = 46078942


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 75/901, 178/182, 686/281

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 75/901, 178/182, 686/281?

Answer: GCF of Numerators as per given numbers 75/901, 178/182, 686/281 is

GCF of Numerators i.e. for 75,178,686 is 1

LCM of denominators i.e. for 901,182,281 is 46078942.

Thus, GCF of Fractions is 1/46078942.Finally, GCF of Fractions for 75/901, 178/182, 686/281 is 1/46078942.