Greatest Common Factor of 5529/862, 1842/276

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5529/862, 1842/276

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 5529/862,1842/276

Given fractions are 5529/862,1842/276

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 5529,1842

Greatest Common Factor of Numerators i.e. GCF of 5529,1842 is 3 .

LCM of Denominators means LCM of 862,276 as per the given fractions.

LCM of 862,276 is 118956 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5529,1842

GCF of Fractions 5529/862,1842/276 is 3/118956

3 5529, 1842
1843, 614

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 5529,1842 By Matching Biggest Common Factor Method

Greatest Common Factor of 5529,1842 By Matching Biggest Common Factor Method

Factors of 5529

List of positive integer factors of 5529 that divides 5529 without a remainder.

1,3,19,57,97,291,1843,5529

Factors of 1842

List of positive integer factors of 1842 that divides 1842 without a remainder.

1,2,3,6,307,614,921,1842

Greatest Common Factor

We found the factors 5529,1842 . The biggest common factor number is the GCF number.
So the greatest common factor 5529,1842 is 3.

Lets's calculate LCM of 862,276

2 862, 276
431, 138

∴ So the LCM of the given numbers is 2 x 431 x 138 = 118956

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/118956

Therefore, the GCF of Fractions 5529/862,1842/276 is 3/118956

Least Common Multiple of 862,276 with GCF Formula

Least Common Multiple of 862,276 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 862,276 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(862,276) = 2

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

GCF(862,276) x common factors =2 x 1 = 2

LCM(862,276) = ( 862 × 276 ) / 2

LCM(862,276) = 237912 / 2

LCM(862,276) = 118956


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 5529/862, 1842/276

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 5529/862, 1842/276?

Answer: GCF of Numerators as per given numbers 5529/862, 1842/276 is

GCF of Numerators i.e. for 5529,1842 is 3

LCM of denominators i.e. for 862,276 is 118956.

Thus, GCF of Fractions is 3/118956.Finally, GCF of Fractions for 5529/862, 1842/276 is 3/118956.