Greatest Common Factor of 477/69, 368/31, 444/545

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 477/69, 368/31, 444/545

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 477/69,368/31,444/545

Given fractions are 477/69,368/31,444/545

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 477,368,444

Greatest Common Factor of Numerators i.e. GCF of 477,368,444 is 1 .

LCM of Denominators means LCM of 69,31,545 as per the given fractions.

LCM of 69,31,545 is 1165755 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 477,368,444

GCF of Fractions 477/69,368/31,444/545 is 1/1165755

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

Greatest Common Factor of 477,368,444 By Matching Biggest Common Factor Method

Greatest Common Factor of 477,368,444 By Matching Biggest Common Factor Method

Factors of 477

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

1,3,9,53,159,477

Factors of 368

List of positive integer factors of 368 that divides 368 without a remainder.

1,2,4,8,16,23,46,92,184,368

Factors of 444

List of positive integer factors of 444 that divides 444 without a remainder.

1,2,3,4,6,12,37,74,111,148,222,444

Greatest Common Factor

We found the factors 477,368,444 . The biggest common factor number is the GCF number.
So the greatest common factor 477,368,444 is 1.

Lets's calculate LCM of 69,31,545

Given numbers has no common factors except 1. So, there LCM is their product i.e 1165755

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1165755

Therefore, the GCF of Fractions 477/69,368/31,444/545 is 1/1165755

Least Common Multiple of 69,31,545 with GCF Formula

Least Common Multiple of 69,31,545 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 69,31,545 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,31,545) = 1

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

GCF(69,31,545) x common factors =1 x 1 = 1

LCM(69,31,545) = ( 69 × 31 × 545 ) / 1

LCM(69,31,545) = 1165755 / 1

LCM(69,31,545) = 1165755


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 477/69, 368/31, 444/545

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 477/69, 368/31, 444/545?

Answer: GCF of Numerators as per given numbers 477/69, 368/31, 444/545 is

GCF of Numerators i.e. for 477,368,444 is 1

LCM of denominators i.e. for 69,31,545 is 1165755.

Thus, GCF of Fractions is 1/1165755.Finally, GCF of Fractions for 477/69, 368/31, 444/545 is 1/1165755.