Greatest Common Factor of 4177/918, 4626/8024

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4177/918, 4626/8024

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 4177/918,4626/8024

Given fractions are 4177/918,4626/8024

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 4177,4626

Greatest Common Factor of Numerators i.e. GCF of 4177,4626 is 1 .

LCM of Denominators means LCM of 918,8024 as per the given fractions.

LCM of 918,8024 is 216648 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4177,4626

GCF of Fractions 4177/918,4626/8024 is 1/216648

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

Greatest Common Factor of 4177,4626 By Matching Biggest Common Factor Method

Greatest Common Factor of 4177,4626 By Matching Biggest Common Factor Method

Factors of 4177

List of positive integer factors of 4177 that divides 4177 without a remainder.

1,4177

Factors of 4626

List of positive integer factors of 4626 that divides 4626 without a remainder.

1,2,3,6,9,18,257,514,771,1542,2313,4626

Greatest Common Factor

We found the factors 4177,4626 . The biggest common factor number is the GCF number.
So the greatest common factor 4177,4626 is 1.

Lets's calculate LCM of 918,8024

2 918, 8024
17 459, 4012
27, 236

∴ So the LCM of the given numbers is 2 x 17 x 27 x 236 = 216648

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/216648

Therefore, the GCF of Fractions 4177/918,4626/8024 is 1/216648

Least Common Multiple of 918,8024 with GCF Formula

Least Common Multiple of 918,8024 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 918,8024 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(918,8024) = 34

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

GCF(918,8024) x common factors =34 x 1 = 34

LCM(918,8024) = ( 918 × 8024 ) / 34

LCM(918,8024) = 7366032 / 34

LCM(918,8024) = 216648


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 4177/918, 4626/8024

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 4177/918, 4626/8024?

Answer: GCF of Numerators as per given numbers 4177/918, 4626/8024 is

GCF of Numerators i.e. for 4177,4626 is 1

LCM of denominators i.e. for 918,8024 is 216648.

Thus, GCF of Fractions is 1/216648.Finally, GCF of Fractions for 4177/918, 4626/8024 is 1/216648.