Greatest Common Factor of 1257/160, 4365/8983

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1257/160, 4365/8983

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 1257/160,4365/8983

Given fractions are 1257/160,4365/8983

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 1257,4365

Greatest Common Factor of Numerators i.e. GCF of 1257,4365 is 3 .

LCM of Denominators means LCM of 160,8983 as per the given fractions.

LCM of 160,8983 is 1437280 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1257,4365

GCF of Fractions 1257/160,4365/8983 is 3/1437280

3 1257, 4365
419, 1455

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 1257,4365 By Matching Biggest Common Factor Method

Greatest Common Factor of 1257,4365 By Matching Biggest Common Factor Method

Factors of 1257

List of positive integer factors of 1257 that divides 1257 without a remainder.

1,3,419,1257

Factors of 4365

List of positive integer factors of 4365 that divides 4365 without a remainder.

1,3,5,9,15,45,97,291,485,873,1455,4365

Greatest Common Factor

We found the factors 1257,4365 . The biggest common factor number is the GCF number.
So the greatest common factor 1257,4365 is 3.

Lets's calculate LCM of 160,8983

Given numbers has no common factors except 1. So, there LCM is their product i.e 1437280

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1437280

Therefore, the GCF of Fractions 1257/160,4365/8983 is 3/1437280

Least Common Multiple of 160,8983 with GCF Formula

Least Common Multiple of 160,8983 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 160,8983 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(160,8983) = 1

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

GCF(160,8983) x common factors =1 x 1 = 1

LCM(160,8983) = ( 160 × 8983 ) / 1

LCM(160,8983) = 1437280 / 1

LCM(160,8983) = 1437280


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 1257/160, 4365/8983

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 1257/160, 4365/8983?

Answer: GCF of Numerators as per given numbers 1257/160, 4365/8983 is

GCF of Numerators i.e. for 1257,4365 is 3

LCM of denominators i.e. for 160,8983 is 1437280.

Thus, GCF of Fractions is 3/1437280.Finally, GCF of Fractions for 1257/160, 4365/8983 is 3/1437280.