Greatest Common Factor of 1417/234, 9776/396

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1417/234, 9776/396

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 1417/234,9776/396

Given fractions are 1417/234,9776/396

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 1417,9776

Greatest Common Factor of Numerators i.e. GCF of 1417,9776 is 13 .

LCM of Denominators means LCM of 234,396 as per the given fractions.

LCM of 234,396 is 5148 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1417,9776

GCF of Fractions 1417/234,9776/396 is 13/5148

13 1417, 9776
109, 752

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 1417,9776 By Matching Biggest Common Factor Method

Greatest Common Factor of 1417,9776 By Matching Biggest Common Factor Method

Factors of 1417

List of positive integer factors of 1417 that divides 1417 without a remainder.

1,13,109,1417

Factors of 9776

List of positive integer factors of 9776 that divides 9776 without a remainder.

1,2,4,8,13,16,26,47,52,94,104,188,208,376,611,752,1222,2444,4888,9776

Greatest Common Factor

We found the factors 1417,9776 . The biggest common factor number is the GCF number.
So the greatest common factor 1417,9776 is 13.

Lets's calculate LCM of 234,396

2 234, 396
3 117, 198
3 39, 66
13, 22

∴ So the LCM of the given numbers is 2 x 3 x 3 x 13 x 22 = 5148

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/5148

Therefore, the GCF of Fractions 1417/234,9776/396 is 13/5148

Least Common Multiple of 234,396 with GCF Formula

Least Common Multiple of 234,396 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 234,396 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(234,396) = 18

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

GCF(234,396) x common factors =18 x 1 = 18

LCM(234,396) = ( 234 × 396 ) / 18

LCM(234,396) = 92664 / 18

LCM(234,396) = 5148


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 1417/234, 9776/396

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 1417/234, 9776/396?

Answer: GCF of Numerators as per given numbers 1417/234, 9776/396 is

GCF of Numerators i.e. for 1417,9776 is 13

LCM of denominators i.e. for 234,396 is 5148.

Thus, GCF of Fractions is 13/5148.Finally, GCF of Fractions for 1417/234, 9776/396 is 13/5148.