Greatest Common Factor of 665/59, 754/88, 709/280

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 665/59, 754/88, 709/280

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 665/59,754/88,709/280

Given fractions are 665/59,754/88,709/280

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 665,754,709

Greatest Common Factor of Numerators i.e. GCF of 665,754,709 is 1 .

LCM of Denominators means LCM of 59,88,280 as per the given fractions.

LCM of 59,88,280 is 181720 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 665,754,709

GCF of Fractions 665/59,754/88,709/280 is 1/181720

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

Greatest Common Factor of 665,754,709 By Matching Biggest Common Factor Method

Greatest Common Factor of 665,754,709 By Matching Biggest Common Factor Method

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 754

List of positive integer factors of 754 that divides 754 without a remainder.

1,2,13,26,29,58,377,754

Factors of 709

List of positive integer factors of 709 that divides 709 without a remainder.

1,709

Greatest Common Factor

We found the factors 665,754,709 . The biggest common factor number is the GCF number.
So the greatest common factor 665,754,709 is 1.

Lets's calculate LCM of 59,88,280

2 59, 88, 280
2 59, 44, 140
2 59, 22, 70
59, 11, 35

∴ So the LCM of the given numbers is 2 x 2 x 2 x 59 x 11 x 35 = 181720

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/181720

Therefore, the GCF of Fractions 665/59,754/88,709/280 is 1/181720

Least Common Multiple of 59,88,280 with GCF Formula

Least Common Multiple of 59,88,280 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 59,88,280 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,88,280) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(59,88,280) x common factors =1 x 8 = 8

LCM(59,88,280) = ( 59 × 88 × 280 ) / 8

LCM(59,88,280) = 1453760 / 8

LCM(59,88,280) = 181720


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 665/59, 754/88, 709/280

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 665/59, 754/88, 709/280?

Answer: GCF of Numerators as per given numbers 665/59, 754/88, 709/280 is

GCF of Numerators i.e. for 665,754,709 is 1

LCM of denominators i.e. for 59,88,280 is 181720.

Thus, GCF of Fractions is 1/181720.Finally, GCF of Fractions for 665/59, 754/88, 709/280 is 1/181720.