Greatest Common Factor of 78/53, 32/993, 427/106

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 78/53, 32/993, 427/106

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 78/53,32/993,427/106

Given fractions are 78/53,32/993,427/106

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 78,32,427

Greatest Common Factor of Numerators i.e. GCF of 78,32,427 is 1 .

LCM of Denominators means LCM of 53,993,106 as per the given fractions.

LCM of 53,993,106 is 105258 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 78,32,427

GCF of Fractions 78/53,32/993,427/106 is 1/105258

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

Greatest Common Factor of 78,32,427 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,32,427 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 427

List of positive integer factors of 427 that divides 427 without a remainder.

1,7,61,427

Greatest Common Factor

We found the factors 78,32,427 . The biggest common factor number is the GCF number.
So the greatest common factor 78,32,427 is 1.

Lets's calculate LCM of 53,993,106

53 53, 993, 106
1, 993, 2

∴ So the LCM of the given numbers is 53 x 1 x 993 x 2 = 105258

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/105258

Therefore, the GCF of Fractions 78/53,32/993,427/106 is 1/105258

Least Common Multiple of 53,993,106 with GCF Formula

Least Common Multiple of 53,993,106 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 53,993,106 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,993,106) = 1

common factors(in case of two or more numbers have common factors) = 53

GCF(53,993,106) x common factors =1 x 53 = 53

LCM(53,993,106) = ( 53 × 993 × 106 ) / 53

LCM(53,993,106) = 5578674 / 53

LCM(53,993,106) = 105258


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 78/53, 32/993, 427/106

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 78/53, 32/993, 427/106?

Answer: GCF of Numerators as per given numbers 78/53, 32/993, 427/106 is

GCF of Numerators i.e. for 78,32,427 is 1

LCM of denominators i.e. for 53,993,106 is 105258.

Thus, GCF of Fractions is 1/105258.Finally, GCF of Fractions for 78/53, 32/993, 427/106 is 1/105258.