Greatest Common Factor of 1/34, 96/78, 37/298, 114/405

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1/34, 96/78, 37/298, 114/405

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 1/34,96/78,37/298,114/405

Given fractions are 1/34,96/78,37/298,114/405

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 1,96,37,114

Greatest Common Factor of Numerators i.e. GCF of 1,96,37,114 is 1 .

LCM of Denominators means LCM of 34,78,298,405 as per the given fractions.

LCM of 34,78,298,405 is 26672490 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1,96,37,114

GCF of Fractions 1/34,96/78,37/298,114/405 is 1/26672490

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

Greatest Common Factor of 1,96,37,114 By Matching Biggest Common Factor Method

Greatest Common Factor of 1,96,37,114 By Matching Biggest Common Factor Method

Factors of 1

List of positive integer factors of 1 that divides 1 without a remainder.

1

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 114

List of positive integer factors of 114 that divides 114 without a remainder.

1,2,3,6,19,38,57,114

Greatest Common Factor

We found the factors 1,96,37,114 . The biggest common factor number is the GCF number.
So the greatest common factor 1,96,37,114 is 1.

Lets's calculate LCM of 34,78,298,405

2 34, 78, 298, 405
3 17, 39, 149, 405
17, 13, 149, 135

∴ So the LCM of the given numbers is 2 x 3 x 17 x 13 x 149 x 135 = 26672490

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/26672490

Therefore, the GCF of Fractions 1/34,96/78,37/298,114/405 is 1/26672490

Least Common Multiple of 34,78,298,405 with GCF Formula

Least Common Multiple of 34,78,298,405 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 34,78,298,405 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,78,298,405) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(34,78,298,405) x common factors =1 x 12 = 12

LCM(34,78,298,405) = ( 34 × 78 × 298 × 405 ) / 12

LCM(34,78,298,405) = 320069880 / 12

LCM(34,78,298,405) = 26672490


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 1/34, 96/78, 37/298, 114/405

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 1/34, 96/78, 37/298, 114/405?

Answer: GCF of Numerators as per given numbers 1/34, 96/78, 37/298, 114/405 is

GCF of Numerators i.e. for 1,96,37,114 is 1

LCM of denominators i.e. for 34,78,298,405 is 26672490.

Thus, GCF of Fractions is 1/26672490.Finally, GCF of Fractions for 1/34, 96/78, 37/298, 114/405 is 1/26672490.