Greatest Common Factor of 772/25, 299/98, 107/133

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 772/25, 299/98, 107/133

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 772/25,299/98,107/133

Given fractions are 772/25,299/98,107/133

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 772,299,107

Greatest Common Factor of Numerators i.e. GCF of 772,299,107 is 1 .

LCM of Denominators means LCM of 25,98,133 as per the given fractions.

LCM of 25,98,133 is 46550 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 772,299,107

GCF of Fractions 772/25,299/98,107/133 is 1/46550

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

Greatest Common Factor of 772,299,107 By Matching Biggest Common Factor Method

Greatest Common Factor of 772,299,107 By Matching Biggest Common Factor Method

Factors of 772

List of positive integer factors of 772 that divides 772 without a remainder.

1,2,4,193,386,772

Factors of 299

List of positive integer factors of 299 that divides 299 without a remainder.

1,13,23,299

Factors of 107

List of positive integer factors of 107 that divides 107 without a remainder.

1,107

Greatest Common Factor

We found the factors 772,299,107 . The biggest common factor number is the GCF number.
So the greatest common factor 772,299,107 is 1.

Lets's calculate LCM of 25,98,133

7 25, 98, 133
25, 14, 19

∴ So the LCM of the given numbers is 7 x 25 x 14 x 19 = 46550

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/46550

Therefore, the GCF of Fractions 772/25,299/98,107/133 is 1/46550

Least Common Multiple of 25,98,133 with GCF Formula

Least Common Multiple of 25,98,133 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 25,98,133 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,98,133) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(25,98,133) x common factors =1 x 7 = 7

LCM(25,98,133) = ( 25 × 98 × 133 ) / 7

LCM(25,98,133) = 325850 / 7

LCM(25,98,133) = 46550


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 772/25, 299/98, 107/133

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 772/25, 299/98, 107/133?

Answer: GCF of Numerators as per given numbers 772/25, 299/98, 107/133 is

GCF of Numerators i.e. for 772,299,107 is 1

LCM of denominators i.e. for 25,98,133 is 46550.

Thus, GCF of Fractions is 1/46550.Finally, GCF of Fractions for 772/25, 299/98, 107/133 is 1/46550.