Greatest Common Factor of 38/85, 84/49, 866/29

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 38/85, 84/49, 866/29

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 38/85,84/49,866/29

Given fractions are 38/85,84/49,866/29

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 38,84,866

Greatest Common Factor of Numerators i.e. GCF of 38,84,866 is 2 .

LCM of Denominators means LCM of 85,49,29 as per the given fractions.

LCM of 85,49,29 is 120785 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 38,84,866

GCF of Fractions 38/85,84/49,866/29 is 2/120785

2 38, 84, 866
19, 42, 433

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

Greatest Common Factor of 38,84,866 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,84,866 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 866

List of positive integer factors of 866 that divides 866 without a remainder.

1,2,433,866

Greatest Common Factor

We found the factors 38,84,866 . The biggest common factor number is the GCF number.
So the greatest common factor 38,84,866 is 2.

Lets's calculate LCM of 85,49,29

Given numbers has no common factors except 1. So, there LCM is their product i.e 120785

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/120785

Therefore, the GCF of Fractions 38/85,84/49,866/29 is 2/120785

Least Common Multiple of 85,49,29 with GCF Formula

Least Common Multiple of 85,49,29 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 85,49,29 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,49,29) = 1

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

GCF(85,49,29) x common factors =1 x 1 = 1

LCM(85,49,29) = ( 85 × 49 × 29 ) / 1

LCM(85,49,29) = 120785 / 1

LCM(85,49,29) = 120785


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 38/85, 84/49, 866/29

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 38/85, 84/49, 866/29?

Answer: GCF of Numerators as per given numbers 38/85, 84/49, 866/29 is

GCF of Numerators i.e. for 38,84,866 is 2

LCM of denominators i.e. for 85,49,29 is 120785.

Thus, GCF of Fractions is 2/120785.Finally, GCF of Fractions for 38/85, 84/49, 866/29 is 2/120785.