Greatest Common Factor of 117/14, 148/1193

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 117/14, 148/1193

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 117/14,148/1193

Given fractions are 117/14,148/1193

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 117,148

Greatest Common Factor of Numerators i.e. GCF of 117,148 is 1 .

LCM of Denominators means LCM of 14,1193 as per the given fractions.

LCM of 14,1193 is 16702 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 117,148

GCF of Fractions 117/14,148/1193 is 1/16702

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

Greatest Common Factor of 117,148 By Matching Biggest Common Factor Method

Greatest Common Factor of 117,148 By Matching Biggest Common Factor Method

Factors of 117

List of positive integer factors of 117 that divides 117 without a remainder.

1,3,9,13,39,117

Factors of 148

List of positive integer factors of 148 that divides 148 without a remainder.

1,2,4,37,74,148

Greatest Common Factor

We found the factors 117,148 . The biggest common factor number is the GCF number.
So the greatest common factor 117,148 is 1.

Lets's calculate LCM of 14,1193

Given numbers has no common factors except 1. So, there LCM is their product i.e 16702

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16702

Therefore, the GCF of Fractions 117/14,148/1193 is 1/16702

Least Common Multiple of 14,1193 with GCF Formula

Least Common Multiple of 14,1193 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 14,1193 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,1193) = 1

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

GCF(14,1193) x common factors =1 x 1 = 1

LCM(14,1193) = ( 14 × 1193 ) / 1

LCM(14,1193) = 16702 / 1

LCM(14,1193) = 16702


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 117/14, 148/1193

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 117/14, 148/1193?

Answer: GCF of Numerators as per given numbers 117/14, 148/1193 is

GCF of Numerators i.e. for 117,148 is 1

LCM of denominators i.e. for 14,1193 is 16702.

Thus, GCF of Fractions is 1/16702.Finally, GCF of Fractions for 117/14, 148/1193 is 1/16702.