Greatest Common Factor of 4414/616, 7174/4648

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4414/616, 7174/4648

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 4414/616,7174/4648

Given fractions are 4414/616,7174/4648

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 4414,7174

Greatest Common Factor of Numerators i.e. GCF of 4414,7174 is 2 .

LCM of Denominators means LCM of 616,4648 as per the given fractions.

LCM of 616,4648 is 51128 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4414,7174

GCF of Fractions 4414/616,7174/4648 is 2/51128

2 4414, 7174
2207, 3587

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

Greatest Common Factor of 4414,7174 By Matching Biggest Common Factor Method

Greatest Common Factor of 4414,7174 By Matching Biggest Common Factor Method

Factors of 4414

List of positive integer factors of 4414 that divides 4414 without a remainder.

1,2,2207,4414

Factors of 7174

List of positive integer factors of 7174 that divides 7174 without a remainder.

1,2,17,34,211,422,3587,7174

Greatest Common Factor

We found the factors 4414,7174 . The biggest common factor number is the GCF number.
So the greatest common factor 4414,7174 is 2.

Lets's calculate LCM of 616,4648

2 616, 4648
2 308, 2324
2 154, 1162
7 77, 581
11, 83

∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 11 x 83 = 51128

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/51128

Therefore, the GCF of Fractions 4414/616,7174/4648 is 2/51128

Least Common Multiple of 616,4648 with GCF Formula

Least Common Multiple of 616,4648 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 616,4648 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(616,4648) = 56

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

GCF(616,4648) x common factors =56 x 1 = 56

LCM(616,4648) = ( 616 × 4648 ) / 56

LCM(616,4648) = 2863168 / 56

LCM(616,4648) = 51128


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 4414/616, 7174/4648

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 4414/616, 7174/4648?

Answer: GCF of Numerators as per given numbers 4414/616, 7174/4648 is

GCF of Numerators i.e. for 4414,7174 is 2

LCM of denominators i.e. for 616,4648 is 51128.

Thus, GCF of Fractions is 2/51128.Finally, GCF of Fractions for 4414/616, 7174/4648 is 2/51128.