Greatest Common Factor of 918/14, 736/1030

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 918/14, 736/1030

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 918/14,736/1030

Given fractions are 918/14,736/1030

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 918,736

Greatest Common Factor of Numerators i.e. GCF of 918,736 is 2 .

LCM of Denominators means LCM of 14,1030 as per the given fractions.

LCM of 14,1030 is 7210 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 918,736

GCF of Fractions 918/14,736/1030 is 2/7210

2 918, 736
459, 368

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

Greatest Common Factor of 918,736 By Matching Biggest Common Factor Method

Greatest Common Factor of 918,736 By Matching Biggest Common Factor Method

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

Factors of 736

List of positive integer factors of 736 that divides 736 without a remainder.

1,2,4,8,16,23,32,46,92,184,368,736

Greatest Common Factor

We found the factors 918,736 . The biggest common factor number is the GCF number.
So the greatest common factor 918,736 is 2.

Lets's calculate LCM of 14,1030

2 14, 1030
7, 515

∴ So the LCM of the given numbers is 2 x 7 x 515 = 7210

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/7210

Therefore, the GCF of Fractions 918/14,736/1030 is 2/7210

Least Common Multiple of 14,1030 with GCF Formula

Least Common Multiple of 14,1030 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 14,1030 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,1030) = 2

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

GCF(14,1030) x common factors =2 x 1 = 2

LCM(14,1030) = ( 14 × 1030 ) / 2

LCM(14,1030) = 14420 / 2

LCM(14,1030) = 7210


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 918/14, 736/1030

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 918/14, 736/1030?

Answer: GCF of Numerators as per given numbers 918/14, 736/1030 is

GCF of Numerators i.e. for 918,736 is 2

LCM of denominators i.e. for 14,1030 is 7210.

Thus, GCF of Fractions is 2/7210.Finally, GCF of Fractions for 918/14, 736/1030 is 2/7210.