Greatest Common Factor of 253/77, 559/85, 854/299

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 253/77, 559/85, 854/299

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 253/77,559/85,854/299

Given fractions are 253/77,559/85,854/299

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 253,559,854

Greatest Common Factor of Numerators i.e. GCF of 253,559,854 is 1 .

LCM of Denominators means LCM of 77,85,299 as per the given fractions.

LCM of 77,85,299 is 1956955 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 253,559,854

GCF of Fractions 253/77,559/85,854/299 is 1/1956955

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

Greatest Common Factor of 253,559,854 By Matching Biggest Common Factor Method

Greatest Common Factor of 253,559,854 By Matching Biggest Common Factor Method

Factors of 253

List of positive integer factors of 253 that divides 253 without a remainder.

1,11,23,253

Factors of 559

List of positive integer factors of 559 that divides 559 without a remainder.

1,13,43,559

Factors of 854

List of positive integer factors of 854 that divides 854 without a remainder.

1,2,7,14,61,122,427,854

Greatest Common Factor

We found the factors 253,559,854 . The biggest common factor number is the GCF number.
So the greatest common factor 253,559,854 is 1.

Lets's calculate LCM of 77,85,299

Given numbers has no common factors except 1. So, there LCM is their product i.e 1956955

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1956955

Therefore, the GCF of Fractions 253/77,559/85,854/299 is 1/1956955

Least Common Multiple of 77,85,299 with GCF Formula

Least Common Multiple of 77,85,299 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 77,85,299 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,85,299) = 1

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

GCF(77,85,299) x common factors =1 x 1 = 1

LCM(77,85,299) = ( 77 × 85 × 299 ) / 1

LCM(77,85,299) = 1956955 / 1

LCM(77,85,299) = 1956955


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 253/77, 559/85, 854/299

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 253/77, 559/85, 854/299?

Answer: GCF of Numerators as per given numbers 253/77, 559/85, 854/299 is

GCF of Numerators i.e. for 253,559,854 is 1

LCM of denominators i.e. for 77,85,299 is 1956955.

Thus, GCF of Fractions is 1/1956955.Finally, GCF of Fractions for 253/77, 559/85, 854/299 is 1/1956955.