Greatest Common Factor of 336/45, 515/78, 477/554

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 336/45, 515/78, 477/554

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 336/45,515/78,477/554

Given fractions are 336/45,515/78,477/554

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 336,515,477

Greatest Common Factor of Numerators i.e. GCF of 336,515,477 is 1 .

LCM of Denominators means LCM of 45,78,554 as per the given fractions.

LCM of 45,78,554 is 324090 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 336,515,477

GCF of Fractions 336/45,515/78,477/554 is 1/324090

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 336,515,477 By Matching Biggest Common Factor Method

Greatest Common Factor of 336,515,477 By Matching Biggest Common Factor Method

Factors of 336

List of positive integer factors of 336 that divides 336 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336

Factors of 515

List of positive integer factors of 515 that divides 515 without a remainder.

1,5,103,515

Factors of 477

List of positive integer factors of 477 that divides 477 without a remainder.

1,3,9,53,159,477

Greatest Common Factor

We found the factors 336,515,477 . The biggest common factor number is the GCF number.
So the greatest common factor 336,515,477 is 1.


Lets's calculate LCM of 45,78,554

2 45, 78, 554
3 45, 39, 277
15, 13, 277

∴ So the LCM of the given numbers is 2 x 3 x 15 x 13 x 277 = 324090

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/324090

Therefore, the GCF of Fractions 336/45,515/78,477/554 is 1/324090

Least Common Multiple of 45,78,554 with GCF Formula

Least Common Multiple of 45,78,554 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 45,78,554 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,78,554) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(45,78,554) x common factors =1 x 6 = 6

LCM(45,78,554) = ( 45 × 78 × 554 ) / 6

LCM(45,78,554) = 1944540 / 6

LCM(45,78,554) = 324090


GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 336/45, 515/78, 477/554

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 336/45, 515/78, 477/554?

Answer: GCF of Numerators as per given numbers 336/45, 515/78, 477/554 is

GCF of Numerators i.e. for 336,515,477 is 1

LCM of denominators i.e. for 45,78,554 is 324090.

Thus, GCF of Fractions is 1/324090.Finally, GCF of Fractions for 336/45, 515/78, 477/554 is 1/324090.