Greatest Common Factor of 14/67, 92/69, 803/674

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 14/67, 92/69, 803/674

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 14/67,92/69,803/674

Given fractions are 14/67,92/69,803/674

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 14,92,803

Greatest Common Factor of Numerators i.e. GCF of 14,92,803 is 1 .

LCM of Denominators means LCM of 67,69,674 as per the given fractions.

LCM of 67,69,674 is 3115902 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 14,92,803

GCF of Fractions 14/67,92/69,803/674 is 1/3115902

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

Greatest Common Factor of 14,92,803 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,92,803 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 803

List of positive integer factors of 803 that divides 803 without a remainder.

1,11,73,803

Greatest Common Factor

We found the factors 14,92,803 . The biggest common factor number is the GCF number.
So the greatest common factor 14,92,803 is 1.

Lets's calculate LCM of 67,69,674

Given numbers has no common factors except 1. So, there LCM is their product i.e 3115902

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3115902

Therefore, the GCF of Fractions 14/67,92/69,803/674 is 1/3115902

Least Common Multiple of 67,69,674 with GCF Formula

Least Common Multiple of 67,69,674 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 67,69,674 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,69,674) = 1

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

GCF(67,69,674) x common factors =1 x 1 = 1

LCM(67,69,674) = ( 67 × 69 × 674 ) / 1

LCM(67,69,674) = 3115902 / 1

LCM(67,69,674) = 3115902


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 14/67, 92/69, 803/674

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 14/67, 92/69, 803/674?

Answer: GCF of Numerators as per given numbers 14/67, 92/69, 803/674 is

GCF of Numerators i.e. for 14,92,803 is 1

LCM of denominators i.e. for 67,69,674 is 3115902.

Thus, GCF of Fractions is 1/3115902.Finally, GCF of Fractions for 14/67, 92/69, 803/674 is 1/3115902.