Greatest Common Factor of 484/99, 857/98, 183/77

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 484/99, 857/98, 183/77

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 484/99,857/98,183/77

Given fractions are 484/99,857/98,183/77

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 484,857,183

Greatest Common Factor of Numerators i.e. GCF of 484,857,183 is 1 .

LCM of Denominators means LCM of 99,98,77 as per the given fractions.

LCM of 99,98,77 is 9702 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 484,857,183

GCF of Fractions 484/99,857/98,183/77 is 1/9702

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

Greatest Common Factor of 484,857,183 By Matching Biggest Common Factor Method

Greatest Common Factor of 484,857,183 By Matching Biggest Common Factor Method

Factors of 484

List of positive integer factors of 484 that divides 484 without a remainder.

1,2,4,11,22,44,121,242,484

Factors of 857

List of positive integer factors of 857 that divides 857 without a remainder.

1,857

Factors of 183

List of positive integer factors of 183 that divides 183 without a remainder.

1,3,61,183

Greatest Common Factor

We found the factors 484,857,183 . The biggest common factor number is the GCF number.
So the greatest common factor 484,857,183 is 1.

Lets's calculate LCM of 99,98,77

7 99, 98, 77
11 99, 14, 11
9, 14, 1

∴ So the LCM of the given numbers is 7 x 11 x 9 x 14 x 1 = 9702

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9702

Therefore, the GCF of Fractions 484/99,857/98,183/77 is 1/9702

Least Common Multiple of 99,98,77 with GCF Formula

Least Common Multiple of 99,98,77 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 99,98,77 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,98,77) = 1

common factors(in case of two or more numbers have common factors) = 77

GCF(99,98,77) x common factors =1 x 77 = 77

LCM(99,98,77) = ( 99 × 98 × 77 ) / 77

LCM(99,98,77) = 747054 / 77

LCM(99,98,77) = 9702


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 484/99, 857/98, 183/77

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 484/99, 857/98, 183/77?

Answer: GCF of Numerators as per given numbers 484/99, 857/98, 183/77 is

GCF of Numerators i.e. for 484,857,183 is 1

LCM of denominators i.e. for 99,98,77 is 9702.

Thus, GCF of Fractions is 1/9702.Finally, GCF of Fractions for 484/99, 857/98, 183/77 is 1/9702.