Greatest Common Factor of 17/74, 91/767, 945/627

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 17/74, 91/767, 945/627

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 17/74,91/767,945/627

Given fractions are 17/74,91/767,945/627

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 17,91,945

Greatest Common Factor of Numerators i.e. GCF of 17,91,945 is 1 .

LCM of Denominators means LCM of 74,767,627 as per the given fractions.

LCM of 74,767,627 is 35587266 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 17,91,945

GCF of Fractions 17/74,91/767,945/627 is 1/35587266

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

Greatest Common Factor of 17,91,945 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,91,945 By Matching Biggest Common Factor Method

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 945

List of positive integer factors of 945 that divides 945 without a remainder.

1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945

Greatest Common Factor

We found the factors 17,91,945 . The biggest common factor number is the GCF number.
So the greatest common factor 17,91,945 is 1.


Lets's calculate LCM of 74,767,627

Given numbers has no common factors except 1. So, there LCM is their product i.e 35587266

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35587266

Therefore, the GCF of Fractions 17/74,91/767,945/627 is 1/35587266

Least Common Multiple of 74,767,627 with GCF Formula

Least Common Multiple of 74,767,627 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 74,767,627 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,767,627) = 1

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

GCF(74,767,627) x common factors =1 x 1 = 1

LCM(74,767,627) = ( 74 × 767 × 627 ) / 1

LCM(74,767,627) = 35587266 / 1

LCM(74,767,627) = 35587266


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 17/74, 91/767, 945/627

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 17/74, 91/767, 945/627?

Answer: GCF of Numerators as per given numbers 17/74, 91/767, 945/627 is

GCF of Numerators i.e. for 17,91,945 is 1

LCM of denominators i.e. for 74,767,627 is 35587266.

Thus, GCF of Fractions is 1/35587266.Finally, GCF of Fractions for 17/74, 91/767, 945/627 is 1/35587266.