Greatest Common Factor of 1451/60, 7317/632

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1451/60, 7317/632

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 1451/60,7317/632

Given fractions are 1451/60,7317/632

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 1451,7317

Greatest Common Factor of Numerators i.e. GCF of 1451,7317 is 1 .

LCM of Denominators means LCM of 60,632 as per the given fractions.

LCM of 60,632 is 9480 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1451,7317

GCF of Fractions 1451/60,7317/632 is 1/9480

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

Greatest Common Factor of 1451,7317 By Matching Biggest Common Factor Method

Greatest Common Factor of 1451,7317 By Matching Biggest Common Factor Method

Factors of 1451

List of positive integer factors of 1451 that divides 1451 without a remainder.

1,1451

Factors of 7317

List of positive integer factors of 7317 that divides 7317 without a remainder.

1,3,9,27,271,813,2439,7317

Greatest Common Factor

We found the factors 1451,7317 . The biggest common factor number is the GCF number.
So the greatest common factor 1451,7317 is 1.

Lets's calculate LCM of 60,632

2 60, 632
2 30, 316
15, 158

∴ So the LCM of the given numbers is 2 x 2 x 15 x 158 = 9480

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9480

Therefore, the GCF of Fractions 1451/60,7317/632 is 1/9480

Least Common Multiple of 60,632 with GCF Formula

Least Common Multiple of 60,632 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 60,632 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,632) = 4

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

GCF(60,632) x common factors =4 x 1 = 4

LCM(60,632) = ( 60 × 632 ) / 4

LCM(60,632) = 37920 / 4

LCM(60,632) = 9480


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 1451/60, 7317/632

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 1451/60, 7317/632?

Answer: GCF of Numerators as per given numbers 1451/60, 7317/632 is

GCF of Numerators i.e. for 1451,7317 is 1

LCM of denominators i.e. for 60,632 is 9480.

Thus, GCF of Fractions is 1/9480.Finally, GCF of Fractions for 1451/60, 7317/632 is 1/9480.