Greatest Common Factor of 2536/55, 1084/800

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2536/55, 1084/800

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 2536/55,1084/800

Given fractions are 2536/55,1084/800

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 2536,1084

Greatest Common Factor of Numerators i.e. GCF of 2536,1084 is 4 .

LCM of Denominators means LCM of 55,800 as per the given fractions.

LCM of 55,800 is 8800 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2536,1084

GCF of Fractions 2536/55,1084/800 is 4/8800

2 2536, 1084
2 1268, 542
634, 271

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

Greatest Common Factor of 2536,1084 By Matching Biggest Common Factor Method

Greatest Common Factor of 2536,1084 By Matching Biggest Common Factor Method

Factors of 2536

List of positive integer factors of 2536 that divides 2536 without a remainder.

1,2,4,8,317,634,1268,2536

Factors of 1084

List of positive integer factors of 1084 that divides 1084 without a remainder.

1,2,4,271,542,1084

Greatest Common Factor

We found the factors 2536,1084 . The biggest common factor number is the GCF number.
So the greatest common factor 2536,1084 is 4.

Lets's calculate LCM of 55,800

5 55, 800
11, 160

∴ So the LCM of the given numbers is 5 x 11 x 160 = 8800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/8800

Therefore, the GCF of Fractions 2536/55,1084/800 is 4/8800

Least Common Multiple of 55,800 with GCF Formula

Least Common Multiple of 55,800 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 55,800 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,800) = 5

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

GCF(55,800) x common factors =5 x 1 = 5

LCM(55,800) = ( 55 × 800 ) / 5

LCM(55,800) = 44000 / 5

LCM(55,800) = 8800


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 2536/55, 1084/800

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 2536/55, 1084/800?

Answer: GCF of Numerators as per given numbers 2536/55, 1084/800 is

GCF of Numerators i.e. for 2536,1084 is 4

LCM of denominators i.e. for 55,800 is 8800.

Thus, GCF of Fractions is 4/8800.Finally, GCF of Fractions for 2536/55, 1084/800 is 4/8800.