Greatest Common Factor of 536/4098, 918/3788

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 536/4098, 918/3788

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 536/4098,918/3788

Given fractions are 536/4098,918/3788

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 536,918

Greatest Common Factor of Numerators i.e. GCF of 536,918 is 2 .

LCM of Denominators means LCM of 4098,3788 as per the given fractions.

LCM of 4098,3788 is 7761612 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 536,918

GCF of Fractions 536/4098,918/3788 is 2/7761612

2 536, 918
268, 459

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 536,918 By Matching Biggest Common Factor Method

Greatest Common Factor of 536,918 By Matching Biggest Common Factor Method

Factors of 536

List of positive integer factors of 536 that divides 536 without a remainder.

1,2,4,8,67,134,268,536

Factors of 918

List of positive integer factors of 918 that divides 918 without a remainder.

1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918

Greatest Common Factor

We found the factors 536,918 . The biggest common factor number is the GCF number.
So the greatest common factor 536,918 is 2.

Lets's calculate LCM of 4098,3788

2 4098, 3788
2049, 1894

∴ So the LCM of the given numbers is 2 x 2049 x 1894 = 7761612

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/7761612

Therefore, the GCF of Fractions 536/4098,918/3788 is 2/7761612

Least Common Multiple of 4098,3788 with GCF Formula

Least Common Multiple of 4098,3788 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 4098,3788 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4098,3788) = 2

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

GCF(4098,3788) x common factors =2 x 1 = 2

LCM(4098,3788) = ( 4098 × 3788 ) / 2

LCM(4098,3788) = 15523224 / 2

LCM(4098,3788) = 7761612


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 536/4098, 918/3788

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 536/4098, 918/3788?

Answer: GCF of Numerators as per given numbers 536/4098, 918/3788 is

GCF of Numerators i.e. for 536,918 is 2

LCM of denominators i.e. for 4098,3788 is 7761612.

Thus, GCF of Fractions is 2/7761612.Finally, GCF of Fractions for 536/4098, 918/3788 is 2/7761612.