Greatest Common Factor of 194/65, 685/88, 971/929

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 194/65, 685/88, 971/929

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 194/65,685/88,971/929

Given fractions are 194/65,685/88,971/929

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 194,685,971

Greatest Common Factor of Numerators i.e. GCF of 194,685,971 is 1 .

LCM of Denominators means LCM of 65,88,929 as per the given fractions.

LCM of 65,88,929 is 5313880 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 194,685,971

GCF of Fractions 194/65,685/88,971/929 is 1/5313880

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

Greatest Common Factor of 194,685,971 By Matching Biggest Common Factor Method

Greatest Common Factor of 194,685,971 By Matching Biggest Common Factor Method

Factors of 194

List of positive integer factors of 194 that divides 194 without a remainder.

1,2,97,194

Factors of 685

List of positive integer factors of 685 that divides 685 without a remainder.

1,5,137,685

Factors of 971

List of positive integer factors of 971 that divides 971 without a remainder.

1,971

Greatest Common Factor

We found the factors 194,685,971 . The biggest common factor number is the GCF number.
So the greatest common factor 194,685,971 is 1.

Lets's calculate LCM of 65,88,929

Given numbers has no common factors except 1. So, there LCM is their product i.e 5313880

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5313880

Therefore, the GCF of Fractions 194/65,685/88,971/929 is 1/5313880

Least Common Multiple of 65,88,929 with GCF Formula

Least Common Multiple of 65,88,929 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 65,88,929 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,88,929) = 1

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

GCF(65,88,929) x common factors =1 x 1 = 1

LCM(65,88,929) = ( 65 × 88 × 929 ) / 1

LCM(65,88,929) = 5313880 / 1

LCM(65,88,929) = 5313880


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 194/65, 685/88, 971/929

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 194/65, 685/88, 971/929?

Answer: GCF of Numerators as per given numbers 194/65, 685/88, 971/929 is

GCF of Numerators i.e. for 194,685,971 is 1

LCM of denominators i.e. for 65,88,929 is 5313880.

Thus, GCF of Fractions is 1/5313880.Finally, GCF of Fractions for 194/65, 685/88, 971/929 is 1/5313880.