Greatest Common Factor of 62/19, 410/94, 116/69

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 62/19, 410/94, 116/69

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 62/19,410/94,116/69

Given fractions are 62/19,410/94,116/69

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 62,410,116

Greatest Common Factor of Numerators i.e. GCF of 62,410,116 is 2 .

LCM of Denominators means LCM of 19,94,69 as per the given fractions.

LCM of 19,94,69 is 123234 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 62,410,116

GCF of Fractions 62/19,410/94,116/69 is 2/123234

2 62, 410, 116
31, 205, 58

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

Greatest Common Factor of 62,410,116 By Matching Biggest Common Factor Method

Greatest Common Factor of 62,410,116 By Matching Biggest Common Factor Method

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 410

List of positive integer factors of 410 that divides 410 without a remainder.

1,2,5,10,41,82,205,410

Factors of 116

List of positive integer factors of 116 that divides 116 without a remainder.

1,2,4,29,58,116

Greatest Common Factor

We found the factors 62,410,116 . The biggest common factor number is the GCF number.
So the greatest common factor 62,410,116 is 2.

Lets's calculate LCM of 19,94,69

Given numbers has no common factors except 1. So, there LCM is their product i.e 123234

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/123234

Therefore, the GCF of Fractions 62/19,410/94,116/69 is 2/123234

Least Common Multiple of 19,94,69 with GCF Formula

Least Common Multiple of 19,94,69 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 19,94,69 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,94,69) = 1

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

GCF(19,94,69) x common factors =1 x 1 = 1

LCM(19,94,69) = ( 19 × 94 × 69 ) / 1

LCM(19,94,69) = 123234 / 1

LCM(19,94,69) = 123234


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 62/19, 410/94, 116/69

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 62/19, 410/94, 116/69?

Answer: GCF of Numerators as per given numbers 62/19, 410/94, 116/69 is

GCF of Numerators i.e. for 62,410,116 is 2

LCM of denominators i.e. for 19,94,69 is 123234.

Thus, GCF of Fractions is 2/123234.Finally, GCF of Fractions for 62/19, 410/94, 116/69 is 2/123234.