Greatest Common Factor of 7164/364, 8462/4489

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7164/364, 8462/4489

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 7164/364,8462/4489

Given fractions are 7164/364,8462/4489

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 7164,8462

Greatest Common Factor of Numerators i.e. GCF of 7164,8462 is 2 .

LCM of Denominators means LCM of 364,4489 as per the given fractions.

LCM of 364,4489 is 1633996 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7164,8462

GCF of Fractions 7164/364,8462/4489 is 2/1633996

2 7164, 8462
3582, 4231

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 7164,8462 By Matching Biggest Common Factor Method

Greatest Common Factor of 7164,8462 By Matching Biggest Common Factor Method

Factors of 7164

List of positive integer factors of 7164 that divides 7164 without a remainder.

1,2,3,4,6,9,12,18,36,199,398,597,796,1194,1791,2388,3582,7164

Factors of 8462

List of positive integer factors of 8462 that divides 8462 without a remainder.

1,2,4231,8462

Greatest Common Factor

We found the factors 7164,8462 . The biggest common factor number is the GCF number.
So the greatest common factor 7164,8462 is 2.

Lets's calculate LCM of 364,4489

Given numbers has no common factors except 1. So, there LCM is their product i.e 1633996

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1633996

Therefore, the GCF of Fractions 7164/364,8462/4489 is 2/1633996

Least Common Multiple of 364,4489 with GCF Formula

Least Common Multiple of 364,4489 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 364,4489 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(364,4489) = 1

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

GCF(364,4489) x common factors =1 x 1 = 1

LCM(364,4489) = ( 364 × 4489 ) / 1

LCM(364,4489) = 1633996 / 1

LCM(364,4489) = 1633996


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 7164/364, 8462/4489

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 7164/364, 8462/4489?

Answer: GCF of Numerators as per given numbers 7164/364, 8462/4489 is

GCF of Numerators i.e. for 7164,8462 is 2

LCM of denominators i.e. for 364,4489 is 1633996.

Thus, GCF of Fractions is 2/1633996.Finally, GCF of Fractions for 7164/364, 8462/4489 is 2/1633996.