Greatest Common Factor of 557/56, 818/99, 814/437

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 557/56, 818/99, 814/437

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 557/56,818/99,814/437

Given fractions are 557/56,818/99,814/437

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 557,818,814

Greatest Common Factor of Numerators i.e. GCF of 557,818,814 is 1 .

LCM of Denominators means LCM of 56,99,437 as per the given fractions.

LCM of 56,99,437 is 2422728 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 557,818,814

GCF of Fractions 557/56,818/99,814/437 is 1/2422728

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

Greatest Common Factor of 557,818,814 By Matching Biggest Common Factor Method

Greatest Common Factor of 557,818,814 By Matching Biggest Common Factor Method

Factors of 557

List of positive integer factors of 557 that divides 557 without a remainder.

1,557

Factors of 818

List of positive integer factors of 818 that divides 818 without a remainder.

1,2,409,818

Factors of 814

List of positive integer factors of 814 that divides 814 without a remainder.

1,2,11,22,37,74,407,814

Greatest Common Factor

We found the factors 557,818,814 . The biggest common factor number is the GCF number.
So the greatest common factor 557,818,814 is 1.

Lets's calculate LCM of 56,99,437

Given numbers has no common factors except 1. So, there LCM is their product i.e 2422728

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2422728

Therefore, the GCF of Fractions 557/56,818/99,814/437 is 1/2422728

Least Common Multiple of 56,99,437 with GCF Formula

Least Common Multiple of 56,99,437 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 56,99,437 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,99,437) = 1

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

GCF(56,99,437) x common factors =1 x 1 = 1

LCM(56,99,437) = ( 56 × 99 × 437 ) / 1

LCM(56,99,437) = 2422728 / 1

LCM(56,99,437) = 2422728


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 557/56, 818/99, 814/437

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 557/56, 818/99, 814/437?

Answer: GCF of Numerators as per given numbers 557/56, 818/99, 814/437 is

GCF of Numerators i.e. for 557,818,814 is 1

LCM of denominators i.e. for 56,99,437 is 2422728.

Thus, GCF of Fractions is 1/2422728.Finally, GCF of Fractions for 557/56, 818/99, 814/437 is 1/2422728.