Greatest Common Factor of 707/71, 665/27, 315/604

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 707/71, 665/27, 315/604

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 707/71,665/27,315/604

Given fractions are 707/71,665/27,315/604

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 707,665,315

Greatest Common Factor of Numerators i.e. GCF of 707,665,315 is 7 .

LCM of Denominators means LCM of 71,27,604 as per the given fractions.

LCM of 71,27,604 is 1157868 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 707,665,315

GCF of Fractions 707/71,665/27,315/604 is 7/1157868

7 707, 665, 315
101, 95, 45

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 707,665,315 By Matching Biggest Common Factor Method

Greatest Common Factor of 707,665,315 By Matching Biggest Common Factor Method

Factors of 707

List of positive integer factors of 707 that divides 707 without a remainder.

1,7,101,707

Factors of 665

List of positive integer factors of 665 that divides 665 without a remainder.

1,5,7,19,35,95,133,665

Factors of 315

List of positive integer factors of 315 that divides 315 without a remainder.

1,3,5,7,9,15,21,35,45,63,105,315

Greatest Common Factor

We found the factors 707,665,315 . The biggest common factor number is the GCF number.
So the greatest common factor 707,665,315 is 7.

Lets's calculate LCM of 71,27,604

Given numbers has no common factors except 1. So, there LCM is their product i.e 1157868

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/1157868

Therefore, the GCF of Fractions 707/71,665/27,315/604 is 7/1157868

Least Common Multiple of 71,27,604 with GCF Formula

Least Common Multiple of 71,27,604 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 71,27,604 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,27,604) = 1

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

GCF(71,27,604) x common factors =1 x 1 = 1

LCM(71,27,604) = ( 71 × 27 × 604 ) / 1

LCM(71,27,604) = 1157868 / 1

LCM(71,27,604) = 1157868


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 707/71, 665/27, 315/604

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 707/71, 665/27, 315/604?

Answer: GCF of Numerators as per given numbers 707/71, 665/27, 315/604 is

GCF of Numerators i.e. for 707,665,315 is 7

LCM of denominators i.e. for 71,27,604 is 1157868.

Thus, GCF of Fractions is 7/1157868.Finally, GCF of Fractions for 707/71, 665/27, 315/604 is 7/1157868.