Greatest Common Factor of 365/22, 415/776

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 365/22, 415/776

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 365/22,415/776

Given fractions are 365/22,415/776

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 365,415

Greatest Common Factor of Numerators i.e. GCF of 365,415 is 5 .

LCM of Denominators means LCM of 22,776 as per the given fractions.

LCM of 22,776 is 8536 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 365,415

GCF of Fractions 365/22,415/776 is 5/8536

5 365, 415
73, 83

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 365,415 By Matching Biggest Common Factor Method

Greatest Common Factor of 365,415 By Matching Biggest Common Factor Method

Factors of 365

List of positive integer factors of 365 that divides 365 without a remainder.

1,5,73,365

Factors of 415

List of positive integer factors of 415 that divides 415 without a remainder.

1,5,83,415

Greatest Common Factor

We found the factors 365,415 . The biggest common factor number is the GCF number.
So the greatest common factor 365,415 is 5.

Lets's calculate LCM of 22,776

2 22, 776
11, 388

∴ So the LCM of the given numbers is 2 x 11 x 388 = 8536

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/8536

Therefore, the GCF of Fractions 365/22,415/776 is 5/8536

Least Common Multiple of 22,776 with GCF Formula

Least Common Multiple of 22,776 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 22,776 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,776) = 2

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

GCF(22,776) x common factors =2 x 1 = 2

LCM(22,776) = ( 22 × 776 ) / 2

LCM(22,776) = 17072 / 2

LCM(22,776) = 8536


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 365/22, 415/776

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 365/22, 415/776?

Answer: GCF of Numerators as per given numbers 365/22, 415/776 is

GCF of Numerators i.e. for 365,415 is 5

LCM of denominators i.e. for 22,776 is 8536.

Thus, GCF of Fractions is 5/8536.Finally, GCF of Fractions for 365/22, 415/776 is 5/8536.