Greatest Common Factor of 435/77, 557/4179

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 435/77, 557/4179

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 435/77,557/4179

Given fractions are 435/77,557/4179

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 435,557

Greatest Common Factor of Numerators i.e. GCF of 435,557 is 1 .

LCM of Denominators means LCM of 77,4179 as per the given fractions.

LCM of 77,4179 is 45969 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 435,557

GCF of Fractions 435/77,557/4179 is 1/45969

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

Greatest Common Factor of 435,557 By Matching Biggest Common Factor Method

Greatest Common Factor of 435,557 By Matching Biggest Common Factor Method

Factors of 435

List of positive integer factors of 435 that divides 435 without a remainder.

1,3,5,15,29,87,145,435

Factors of 557

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

1,557

Greatest Common Factor

We found the factors 435,557 . The biggest common factor number is the GCF number.
So the greatest common factor 435,557 is 1.

Lets's calculate LCM of 77,4179

7 77, 4179
11, 597

∴ So the LCM of the given numbers is 7 x 11 x 597 = 45969

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/45969

Therefore, the GCF of Fractions 435/77,557/4179 is 1/45969

Least Common Multiple of 77,4179 with GCF Formula

Least Common Multiple of 77,4179 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 77,4179 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,4179) = 7

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

GCF(77,4179) x common factors =7 x 1 = 7

LCM(77,4179) = ( 77 × 4179 ) / 7

LCM(77,4179) = 321783 / 7

LCM(77,4179) = 45969


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 435/77, 557/4179

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 435/77, 557/4179?

Answer: GCF of Numerators as per given numbers 435/77, 557/4179 is

GCF of Numerators i.e. for 435,557 is 1

LCM of denominators i.e. for 77,4179 is 45969.

Thus, GCF of Fractions is 1/45969.Finally, GCF of Fractions for 435/77, 557/4179 is 1/45969.