Greatest Common Factor of 918/71, 697/4769

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 918/71, 697/4769

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 918/71,697/4769

Given fractions are 918/71,697/4769

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 918,697

Greatest Common Factor of Numerators i.e. GCF of 918,697 is 17 .

LCM of Denominators means LCM of 71,4769 as per the given fractions.

LCM of 71,4769 is 338599 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 918,697

GCF of Fractions 918/71,697/4769 is 17/338599

17 918, 697
54, 41

∴ So the GCF of the given numbers is 17 = 17

Greatest Common Factor of 918,697 By Matching Biggest Common Factor Method

Greatest Common Factor of 918,697 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 697

List of positive integer factors of 697 that divides 697 without a remainder.

1,17,41,697

Greatest Common Factor

We found the factors 918,697 . The biggest common factor number is the GCF number.
So the greatest common factor 918,697 is 17.

Lets's calculate LCM of 71,4769

Given numbers has no common factors except 1. So, there LCM is their product i.e 338599

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/338599

Therefore, the GCF of Fractions 918/71,697/4769 is 17/338599

Least Common Multiple of 71,4769 with GCF Formula

Least Common Multiple of 71,4769 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 71,4769 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,4769) = 1

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

GCF(71,4769) x common factors =1 x 1 = 1

LCM(71,4769) = ( 71 × 4769 ) / 1

LCM(71,4769) = 338599 / 1

LCM(71,4769) = 338599


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 918/71, 697/4769

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 918/71, 697/4769?

Answer: GCF of Numerators as per given numbers 918/71, 697/4769 is

GCF of Numerators i.e. for 918,697 is 17

LCM of denominators i.e. for 71,4769 is 338599.

Thus, GCF of Fractions is 17/338599.Finally, GCF of Fractions for 918/71, 697/4769 is 17/338599.