Greatest Common Factor of 665/314, 8987/761

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 665/314, 8987/761

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 665/314,8987/761

Given fractions are 665/314,8987/761

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 665,8987

Greatest Common Factor of Numerators i.e. GCF of 665,8987 is 19 .

LCM of Denominators means LCM of 314,761 as per the given fractions.

LCM of 314,761 is 238954 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 665,8987

GCF of Fractions 665/314,8987/761 is 19/238954

19 665, 8987
35, 473

∴ So the GCF of the given numbers is 19 = 19

Greatest Common Factor of 665,8987 By Matching Biggest Common Factor Method

Greatest Common Factor of 665,8987 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 8987

List of positive integer factors of 8987 that divides 8987 without a remainder.

1,11,19,43,209,473,817,8987

Greatest Common Factor

We found the factors 665,8987 . The biggest common factor number is the GCF number.
So the greatest common factor 665,8987 is 19.

Lets's calculate LCM of 314,761

Given numbers has no common factors except 1. So, there LCM is their product i.e 238954

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/238954

Therefore, the GCF of Fractions 665/314,8987/761 is 19/238954

Least Common Multiple of 314,761 with GCF Formula

Least Common Multiple of 314,761 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 314,761 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(314,761) = 1

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

GCF(314,761) x common factors =1 x 1 = 1

LCM(314,761) = ( 314 × 761 ) / 1

LCM(314,761) = 238954 / 1

LCM(314,761) = 238954


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 665/314, 8987/761

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 665/314, 8987/761?

Answer: GCF of Numerators as per given numbers 665/314, 8987/761 is

GCF of Numerators i.e. for 665,8987 is 19

LCM of denominators i.e. for 314,761 is 238954.

Thus, GCF of Fractions is 19/238954.Finally, GCF of Fractions for 665/314, 8987/761 is 19/238954.