Greatest Common Factor of 174/616, 2556/3300

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 174/616, 2556/3300

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 174/616,2556/3300

Given fractions are 174/616,2556/3300

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 174,2556

Greatest Common Factor of Numerators i.e. GCF of 174,2556 is 6 .

LCM of Denominators means LCM of 616,3300 as per the given fractions.

LCM of 616,3300 is 46200 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 174,2556

GCF of Fractions 174/616,2556/3300 is 6/46200

2 174, 2556
3 87, 1278
29, 426

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 174,2556 By Matching Biggest Common Factor Method

Greatest Common Factor of 174,2556 By Matching Biggest Common Factor Method

Factors of 174

List of positive integer factors of 174 that divides 174 without a remainder.

1,2,3,6,29,58,87,174

Factors of 2556

List of positive integer factors of 2556 that divides 2556 without a remainder.

1,2,3,4,6,9,12,18,36,71,142,213,284,426,639,852,1278,2556

Greatest Common Factor

We found the factors 174,2556 . The biggest common factor number is the GCF number.
So the greatest common factor 174,2556 is 6.

Lets's calculate LCM of 616,3300

2 616, 3300
2 308, 1650
11 154, 825
14, 75

∴ So the LCM of the given numbers is 2 x 2 x 11 x 14 x 75 = 46200

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/46200

Therefore, the GCF of Fractions 174/616,2556/3300 is 6/46200

Least Common Multiple of 616,3300 with GCF Formula

Least Common Multiple of 616,3300 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 616,3300 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(616,3300) = 44

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

GCF(616,3300) x common factors =44 x 1 = 44

LCM(616,3300) = ( 616 × 3300 ) / 44

LCM(616,3300) = 2032800 / 44

LCM(616,3300) = 46200


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 174/616, 2556/3300

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 174/616, 2556/3300?

Answer: GCF of Numerators as per given numbers 174/616, 2556/3300 is

GCF of Numerators i.e. for 174,2556 is 6

LCM of denominators i.e. for 616,3300 is 46200.

Thus, GCF of Fractions is 6/46200.Finally, GCF of Fractions for 174/616, 2556/3300 is 6/46200.