Greatest Common Factor of 89/74, 380/31, 373/357

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 89/74, 380/31, 373/357

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 89/74,380/31,373/357

Given fractions are 89/74,380/31,373/357

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 89,380,373

Greatest Common Factor of Numerators i.e. GCF of 89,380,373 is 1 .

LCM of Denominators means LCM of 74,31,357 as per the given fractions.

LCM of 74,31,357 is 818958 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 89,380,373

GCF of Fractions 89/74,380/31,373/357 is 1/818958

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

Greatest Common Factor of 89,380,373 By Matching Biggest Common Factor Method

Greatest Common Factor of 89,380,373 By Matching Biggest Common Factor Method

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 380

List of positive integer factors of 380 that divides 380 without a remainder.

1,2,4,5,10,19,20,38,76,95,190,380

Factors of 373

List of positive integer factors of 373 that divides 373 without a remainder.

1,373

Greatest Common Factor

We found the factors 89,380,373 . The biggest common factor number is the GCF number.
So the greatest common factor 89,380,373 is 1.

Lets's calculate LCM of 74,31,357

Given numbers has no common factors except 1. So, there LCM is their product i.e 818958

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/818958

Therefore, the GCF of Fractions 89/74,380/31,373/357 is 1/818958

Least Common Multiple of 74,31,357 with GCF Formula

Least Common Multiple of 74,31,357 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 74,31,357 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,31,357) = 1

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

GCF(74,31,357) x common factors =1 x 1 = 1

LCM(74,31,357) = ( 74 × 31 × 357 ) / 1

LCM(74,31,357) = 818958 / 1

LCM(74,31,357) = 818958


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 89/74, 380/31, 373/357

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 89/74, 380/31, 373/357?

Answer: GCF of Numerators as per given numbers 89/74, 380/31, 373/357 is

GCF of Numerators i.e. for 89,380,373 is 1

LCM of denominators i.e. for 74,31,357 is 818958.

Thus, GCF of Fractions is 1/818958.Finally, GCF of Fractions for 89/74, 380/31, 373/357 is 1/818958.