Greatest Common Factor of 354/96, 989/55, 577/814

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 354/96, 989/55, 577/814

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 354/96,989/55,577/814

Given fractions are 354/96,989/55,577/814

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 354,989,577

Greatest Common Factor of Numerators i.e. GCF of 354,989,577 is 1 .

LCM of Denominators means LCM of 96,55,814 as per the given fractions.

LCM of 96,55,814 is 195360 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 354,989,577

GCF of Fractions 354/96,989/55,577/814 is 1/195360

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

Greatest Common Factor of 354,989,577 By Matching Biggest Common Factor Method

Greatest Common Factor of 354,989,577 By Matching Biggest Common Factor Method

Factors of 354

List of positive integer factors of 354 that divides 354 without a remainder.

1,2,3,6,59,118,177,354

Factors of 989

List of positive integer factors of 989 that divides 989 without a remainder.

1,23,43,989

Factors of 577

List of positive integer factors of 577 that divides 577 without a remainder.

1,577

Greatest Common Factor

We found the factors 354,989,577 . The biggest common factor number is the GCF number.
So the greatest common factor 354,989,577 is 1.

Lets's calculate LCM of 96,55,814

2 96, 55, 814
11 48, 55, 407
48, 5, 37

∴ So the LCM of the given numbers is 2 x 11 x 48 x 5 x 37 = 195360

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/195360

Therefore, the GCF of Fractions 354/96,989/55,577/814 is 1/195360

Least Common Multiple of 96,55,814 with GCF Formula

Least Common Multiple of 96,55,814 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 96,55,814 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,55,814) = 1

common factors(in case of two or more numbers have common factors) = 22

GCF(96,55,814) x common factors =1 x 22 = 22

LCM(96,55,814) = ( 96 × 55 × 814 ) / 22

LCM(96,55,814) = 4297920 / 22

LCM(96,55,814) = 195360


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 354/96, 989/55, 577/814

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 354/96, 989/55, 577/814?

Answer: GCF of Numerators as per given numbers 354/96, 989/55, 577/814 is

GCF of Numerators i.e. for 354,989,577 is 1

LCM of denominators i.e. for 96,55,814 is 195360.

Thus, GCF of Fractions is 1/195360.Finally, GCF of Fractions for 354/96, 989/55, 577/814 is 1/195360.