Greatest Common Factor of 849/114, 3477/554

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 849/114, 3477/554

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 849/114,3477/554

Given fractions are 849/114,3477/554

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 849,3477

Greatest Common Factor of Numerators i.e. GCF of 849,3477 is 3 .

LCM of Denominators means LCM of 114,554 as per the given fractions.

LCM of 114,554 is 31578 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 849,3477

GCF of Fractions 849/114,3477/554 is 3/31578

3 849, 3477
283, 1159

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

Greatest Common Factor of 849,3477 By Matching Biggest Common Factor Method

Greatest Common Factor of 849,3477 By Matching Biggest Common Factor Method

Factors of 849

List of positive integer factors of 849 that divides 849 without a remainder.

1,3,283,849

Factors of 3477

List of positive integer factors of 3477 that divides 3477 without a remainder.

1,3,19,57,61,183,1159,3477

Greatest Common Factor

We found the factors 849,3477 . The biggest common factor number is the GCF number.
So the greatest common factor 849,3477 is 3.

Lets's calculate LCM of 114,554

2 114, 554
57, 277

∴ So the LCM of the given numbers is 2 x 57 x 277 = 31578

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/31578

Therefore, the GCF of Fractions 849/114,3477/554 is 3/31578

Least Common Multiple of 114,554 with GCF Formula

Least Common Multiple of 114,554 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 114,554 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(114,554) = 2

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

GCF(114,554) x common factors =2 x 1 = 2

LCM(114,554) = ( 114 × 554 ) / 2

LCM(114,554) = 63156 / 2

LCM(114,554) = 31578


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 849/114, 3477/554

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 849/114, 3477/554?

Answer: GCF of Numerators as per given numbers 849/114, 3477/554 is

GCF of Numerators i.e. for 849,3477 is 3

LCM of denominators i.e. for 114,554 is 31578.

Thus, GCF of Fractions is 3/31578.Finally, GCF of Fractions for 849/114, 3477/554 is 3/31578.