Greatest Common Factor of 378/97, 889/98, 121/185

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 378/97, 889/98, 121/185

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 378/97,889/98,121/185

Given fractions are 378/97,889/98,121/185

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 378,889,121

Greatest Common Factor of Numerators i.e. GCF of 378,889,121 is 1 .

LCM of Denominators means LCM of 97,98,185 as per the given fractions.

LCM of 97,98,185 is 1758610 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 378,889,121

GCF of Fractions 378/97,889/98,121/185 is 1/1758610

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

Greatest Common Factor of 378,889,121 By Matching Biggest Common Factor Method

Greatest Common Factor of 378,889,121 By Matching Biggest Common Factor Method

Factors of 378

List of positive integer factors of 378 that divides 378 without a remainder.

1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378

Factors of 889

List of positive integer factors of 889 that divides 889 without a remainder.

1,7,127,889

Factors of 121

List of positive integer factors of 121 that divides 121 without a remainder.

1,11,121

Greatest Common Factor

We found the factors 378,889,121 . The biggest common factor number is the GCF number.
So the greatest common factor 378,889,121 is 1.

Lets's calculate LCM of 97,98,185

Given numbers has no common factors except 1. So, there LCM is their product i.e 1758610

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1758610

Therefore, the GCF of Fractions 378/97,889/98,121/185 is 1/1758610

Least Common Multiple of 97,98,185 with GCF Formula

Least Common Multiple of 97,98,185 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 97,98,185 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,98,185) = 1

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

GCF(97,98,185) x common factors =1 x 1 = 1

LCM(97,98,185) = ( 97 × 98 × 185 ) / 1

LCM(97,98,185) = 1758610 / 1

LCM(97,98,185) = 1758610


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 378/97, 889/98, 121/185

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 378/97, 889/98, 121/185?

Answer: GCF of Numerators as per given numbers 378/97, 889/98, 121/185 is

GCF of Numerators i.e. for 378,889,121 is 1

LCM of denominators i.e. for 97,98,185 is 1758610.

Thus, GCF of Fractions is 1/1758610.Finally, GCF of Fractions for 378/97, 889/98, 121/185 is 1/1758610.