Greatest Common Factor of 5787/69, 8836/776

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5787/69, 8836/776

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 5787/69,8836/776

Given fractions are 5787/69,8836/776

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 5787,8836

Greatest Common Factor of Numerators i.e. GCF of 5787,8836 is 1 .

LCM of Denominators means LCM of 69,776 as per the given fractions.

LCM of 69,776 is 53544 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5787,8836

GCF of Fractions 5787/69,8836/776 is 1/53544

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

Greatest Common Factor of 5787,8836 By Matching Biggest Common Factor Method

Greatest Common Factor of 5787,8836 By Matching Biggest Common Factor Method

Factors of 5787

List of positive integer factors of 5787 that divides 5787 without a remainder.

1,3,9,643,1929,5787

Factors of 8836

List of positive integer factors of 8836 that divides 8836 without a remainder.

1,2,4,47,94,188,2209,4418,8836

Greatest Common Factor

We found the factors 5787,8836 . The biggest common factor number is the GCF number.
So the greatest common factor 5787,8836 is 1.

Lets's calculate LCM of 69,776

Given numbers has no common factors except 1. So, there LCM is their product i.e 53544

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/53544

Therefore, the GCF of Fractions 5787/69,8836/776 is 1/53544

Least Common Multiple of 69,776 with GCF Formula

Least Common Multiple of 69,776 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 69,776 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,776) = 1

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

GCF(69,776) x common factors =1 x 1 = 1

LCM(69,776) = ( 69 × 776 ) / 1

LCM(69,776) = 53544 / 1

LCM(69,776) = 53544


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 5787/69, 8836/776

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 5787/69, 8836/776?

Answer: GCF of Numerators as per given numbers 5787/69, 8836/776 is

GCF of Numerators i.e. for 5787,8836 is 1

LCM of denominators i.e. for 69,776 is 53544.

Thus, GCF of Fractions is 1/53544.Finally, GCF of Fractions for 5787/69, 8836/776 is 1/53544.