Greatest Common Factor of 5839/88, 5544/420

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5839/88, 5544/420

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 5839/88,5544/420

Given fractions are 5839/88,5544/420

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 5839,5544

Greatest Common Factor of Numerators i.e. GCF of 5839,5544 is 1 .

LCM of Denominators means LCM of 88,420 as per the given fractions.

LCM of 88,420 is 9240 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5839,5544

GCF of Fractions 5839/88,5544/420 is 1/9240

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

Greatest Common Factor of 5839,5544 By Matching Biggest Common Factor Method

Greatest Common Factor of 5839,5544 By Matching Biggest Common Factor Method

Factors of 5839

List of positive integer factors of 5839 that divides 5839 without a remainder.

1,5839

Factors of 5544

List of positive integer factors of 5544 that divides 5544 without a remainder.

1,2,3,4,6,7,8,9,11,12,14,18,21,22,24,28,33,36,42,44,56,63,66,72,77,84,88,99,126,132,154,168,198,231,252,264,308,396,462,504,616,693,792,924,1386,1848,2772,5544

Greatest Common Factor

We found the factors 5839,5544 . The biggest common factor number is the GCF number.
So the greatest common factor 5839,5544 is 1.

Lets's calculate LCM of 88,420

2 88, 420
2 44, 210
22, 105

∴ So the LCM of the given numbers is 2 x 2 x 22 x 105 = 9240

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9240

Therefore, the GCF of Fractions 5839/88,5544/420 is 1/9240

Least Common Multiple of 88,420 with GCF Formula

Least Common Multiple of 88,420 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 88,420 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,420) = 4

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

GCF(88,420) x common factors =4 x 1 = 4

LCM(88,420) = ( 88 × 420 ) / 4

LCM(88,420) = 36960 / 4

LCM(88,420) = 9240


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 5839/88, 5544/420

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 5839/88, 5544/420?

Answer: GCF of Numerators as per given numbers 5839/88, 5544/420 is

GCF of Numerators i.e. for 5839,5544 is 1

LCM of denominators i.e. for 88,420 is 9240.

Thus, GCF of Fractions is 1/9240.Finally, GCF of Fractions for 5839/88, 5544/420 is 1/9240.