Greatest Common Factor of 4465/76, 8623/102

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4465/76, 8623/102

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 4465/76,8623/102

Given fractions are 4465/76,8623/102

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 4465,8623

Greatest Common Factor of Numerators i.e. GCF of 4465,8623 is 1 .

LCM of Denominators means LCM of 76,102 as per the given fractions.

LCM of 76,102 is 3876 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4465,8623

GCF of Fractions 4465/76,8623/102 is 1/3876

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

Greatest Common Factor of 4465,8623 By Matching Biggest Common Factor Method

Greatest Common Factor of 4465,8623 By Matching Biggest Common Factor Method

Factors of 4465

List of positive integer factors of 4465 that divides 4465 without a remainder.

1,5,19,47,95,235,893,4465

Factors of 8623

List of positive integer factors of 8623 that divides 8623 without a remainder.

1,8623

Greatest Common Factor

We found the factors 4465,8623 . The biggest common factor number is the GCF number.
So the greatest common factor 4465,8623 is 1.

Lets's calculate LCM of 76,102

2 76, 102
38, 51

∴ So the LCM of the given numbers is 2 x 38 x 51 = 3876

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3876

Therefore, the GCF of Fractions 4465/76,8623/102 is 1/3876

Least Common Multiple of 76,102 with GCF Formula

Least Common Multiple of 76,102 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 76,102 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,102) = 2

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

GCF(76,102) x common factors =2 x 1 = 2

LCM(76,102) = ( 76 × 102 ) / 2

LCM(76,102) = 7752 / 2

LCM(76,102) = 3876


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 4465/76, 8623/102

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 4465/76, 8623/102?

Answer: GCF of Numerators as per given numbers 4465/76, 8623/102 is

GCF of Numerators i.e. for 4465,8623 is 1

LCM of denominators i.e. for 76,102 is 3876.

Thus, GCF of Fractions is 1/3876.Finally, GCF of Fractions for 4465/76, 8623/102 is 1/3876.