Greatest Common Factor of 554/788, 4914/396

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 554/788, 4914/396

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 554/788,4914/396

Given fractions are 554/788,4914/396

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 554,4914

Greatest Common Factor of Numerators i.e. GCF of 554,4914 is 2 .

LCM of Denominators means LCM of 788,396 as per the given fractions.

LCM of 788,396 is 78012 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 554,4914

GCF of Fractions 554/788,4914/396 is 2/78012

2 554, 4914
277, 2457

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

Greatest Common Factor of 554,4914 By Matching Biggest Common Factor Method

Greatest Common Factor of 554,4914 By Matching Biggest Common Factor Method

Factors of 554

List of positive integer factors of 554 that divides 554 without a remainder.

1,2,277,554

Factors of 4914

List of positive integer factors of 4914 that divides 4914 without a remainder.

1,2,3,6,7,9,13,14,18,21,26,27,39,42,54,63,78,91,117,126,182,189,234,273,351,378,546,702,819,1638,2457,4914

Greatest Common Factor

We found the factors 554,4914 . The biggest common factor number is the GCF number.
So the greatest common factor 554,4914 is 2.

Lets's calculate LCM of 788,396

2 788, 396
2 394, 198
197, 99

∴ So the LCM of the given numbers is 2 x 2 x 197 x 99 = 78012

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/78012

Therefore, the GCF of Fractions 554/788,4914/396 is 2/78012

Least Common Multiple of 788,396 with GCF Formula

Least Common Multiple of 788,396 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 788,396 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(788,396) = 4

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

GCF(788,396) x common factors =4 x 1 = 4

LCM(788,396) = ( 788 × 396 ) / 4

LCM(788,396) = 312048 / 4

LCM(788,396) = 78012


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 554/788, 4914/396

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 554/788, 4914/396?

Answer: GCF of Numerators as per given numbers 554/788, 4914/396 is

GCF of Numerators i.e. for 554,4914 is 2

LCM of denominators i.e. for 788,396 is 78012.

Thus, GCF of Fractions is 2/78012.Finally, GCF of Fractions for 554/788, 4914/396 is 2/78012.