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Greatest Common Factor of 63/63, 278/64, 541/54

Get help with finding GCF of fractions 63/63, 278/64, 541/54 using GCF of Fractions Calculator to know the result 1/12096 the largest number that divides all the numbers with a zero remainder.

Greatest common factor (GCF) of 63/63, 278/64, 541/54 is 1/12096.

GCF(63/63, 278/64, 541/54) = 1/12096

GCF of 63/63, 278/64, 541/54

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Given fractions are 63/63,278/64,541/54

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 63,278,541

Greatest Common Factor of Numerators i.e. GCF of 63,278,541 is 1 .

LCM of Denominators means LCM of 63,64,54 as per the given fractions.

LCM of 63,64,54 is 12096 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 63,278,541

Greatest Common Factor (GCF) of 63,278,541 By Common Division

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

Greatest Common Factor of 63,278,541 By Matching Biggest Common Factor Method

Greatest Common Factor of 63,278,541 By Matching Biggest Common Factor Method

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 278

List of positive integer factors of 278 that divides 278 without a remainder.

1,2,139,278

Factors of 541

List of positive integer factors of 541 that divides 541 without a remainder.

1,541

Greatest Common Factor

We found the factors 63,278,541 . The biggest common factor number is the GCF number.
So the greatest common factor 63,278,541 is 1.


Lets's calculate LCM of 63,64,54

Least Common Multiple (LCM) of 63,64,54 By Common Division

2 63, 64, 54
3 63, 32, 27
3 21, 32, 9
7, 32, 3

∴ So the LCM of the given numbers is 2 x 3 x 3 x 7 x 32 x 3 = 12096

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12096

Therefore, the GCF of Fractions 63/63,278/64,541/54 is 1/12096

Least Common Multiple of 63,64,54 with GCF Formula

Least Common Multiple of 63,64,54 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 63,64,54 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(63,64,54) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(63,64,54) x common factors =1 x 18 = 18

LCM(63,64,54) = ( 63 × 64 × 54 ) / 18

LCM(63,64,54) = 217728 / 18

LCM(63,64,54) = 12096


GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 63/63, 278/64, 541/54

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 63/63, 278/64, 541/54?

Answer: GCF of Numerators as per given numbers 63/63, 278/64, 541/54 is

GCF of Numerators i.e. for 63,278,541 is 1

LCM of denominators i.e. for 63,64,54 is 12096.

Thus, GCF of Fractions is 1/12096.Finally, GCF of Fractions for 63/63, 278/64, 541/54 is 1/12096.