Greatest Common Factor of 83/67, 74/49, 38/53, 55/78

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 83/67, 74/49, 38/53, 55/78

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 83/67,74/49,38/53,55/78

Given fractions are 83/67,74/49,38/53,55/78

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 83,74,38,55

Greatest Common Factor of Numerators i.e. GCF of 83,74,38,55 is 1 .

LCM of Denominators means LCM of 67,49,53,78 as per the given fractions.

LCM of 67,49,53,78 is 13571922 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 83,74,38,55

GCF of Fractions 83/67,74/49,38/53,55/78 is 1/13571922

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

Greatest Common Factor of 83,74,38,55 By Matching Biggest Common Factor Method

Greatest Common Factor of 83,74,38,55 By Matching Biggest Common Factor Method

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 38

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

1,2,19,38

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Greatest Common Factor

We found the factors 83,74,38,55 . The biggest common factor number is the GCF number.
So the greatest common factor 83,74,38,55 is 1.

Lets's calculate LCM of 67,49,53,78

Given numbers has no common factors except 1. So, there LCM is their product i.e 13571922

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13571922

Therefore, the GCF of Fractions 83/67,74/49,38/53,55/78 is 1/13571922

Least Common Multiple of 67,49,53,78 with GCF Formula

Least Common Multiple of 67,49,53,78 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 67,49,53,78 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,49,53,78) = 1

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

GCF(67,49,53,78) x common factors =1 x 1 = 1

LCM(67,49,53,78) = ( 67 × 49 × 53 × 78 ) / 1

LCM(67,49,53,78) = 13571922 / 1

LCM(67,49,53,78) = 13571922


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 83/67, 74/49, 38/53, 55/78

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 83/67, 74/49, 38/53, 55/78?

Answer: GCF of Numerators as per given numbers 83/67, 74/49, 38/53, 55/78 is

GCF of Numerators i.e. for 83,74,38,55 is 1

LCM of denominators i.e. for 67,49,53,78 is 13571922.

Thus, GCF of Fractions is 1/13571922.Finally, GCF of Fractions for 83/67, 74/49, 38/53, 55/78 is 1/13571922.