Greatest Common Factor of 8788/49, 8524/200

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8788/49, 8524/200

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 8788/49,8524/200

Given fractions are 8788/49,8524/200

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 8788,8524

Greatest Common Factor of Numerators i.e. GCF of 8788,8524 is 4 .

LCM of Denominators means LCM of 49,200 as per the given fractions.

LCM of 49,200 is 9800 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8788,8524

GCF of Fractions 8788/49,8524/200 is 4/9800

2 8788, 8524
2 4394, 4262
2197, 2131

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 8788,8524 By Matching Biggest Common Factor Method

Greatest Common Factor of 8788,8524 By Matching Biggest Common Factor Method

Factors of 8788

List of positive integer factors of 8788 that divides 8788 without a remainder.

1,2,4,13,26,52,169,338,676,2197,4394,8788

Factors of 8524

List of positive integer factors of 8524 that divides 8524 without a remainder.

1,2,4,2131,4262,8524

Greatest Common Factor

We found the factors 8788,8524 . The biggest common factor number is the GCF number.
So the greatest common factor 8788,8524 is 4.

Lets's calculate LCM of 49,200

Given numbers has no common factors except 1. So, there LCM is their product i.e 9800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/9800

Therefore, the GCF of Fractions 8788/49,8524/200 is 4/9800

Least Common Multiple of 49,200 with GCF Formula

Least Common Multiple of 49,200 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 49,200 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,200) = 1

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

GCF(49,200) x common factors =1 x 1 = 1

LCM(49,200) = ( 49 × 200 ) / 1

LCM(49,200) = 9800 / 1

LCM(49,200) = 9800


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 8788/49, 8524/200

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 8788/49, 8524/200?

Answer: GCF of Numerators as per given numbers 8788/49, 8524/200 is

GCF of Numerators i.e. for 8788,8524 is 4

LCM of denominators i.e. for 49,200 is 9800.

Thus, GCF of Fractions is 4/9800.Finally, GCF of Fractions for 8788/49, 8524/200 is 4/9800.