Greatest Common Factor of 25/19, 964/34, 647/287

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 25/19, 964/34, 647/287

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 25/19,964/34,647/287

Given fractions are 25/19,964/34,647/287

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 25,964,647

Greatest Common Factor of Numerators i.e. GCF of 25,964,647 is 1 .

LCM of Denominators means LCM of 19,34,287 as per the given fractions.

LCM of 19,34,287 is 185402 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 25,964,647

GCF of Fractions 25/19,964/34,647/287 is 1/185402

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

Greatest Common Factor of 25,964,647 By Matching Biggest Common Factor Method

Greatest Common Factor of 25,964,647 By Matching Biggest Common Factor Method

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 964

List of positive integer factors of 964 that divides 964 without a remainder.

1,2,4,241,482,964

Factors of 647

List of positive integer factors of 647 that divides 647 without a remainder.

1,647

Greatest Common Factor

We found the factors 25,964,647 . The biggest common factor number is the GCF number.
So the greatest common factor 25,964,647 is 1.

Lets's calculate LCM of 19,34,287

Given numbers has no common factors except 1. So, there LCM is their product i.e 185402

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/185402

Therefore, the GCF of Fractions 25/19,964/34,647/287 is 1/185402

Least Common Multiple of 19,34,287 with GCF Formula

Least Common Multiple of 19,34,287 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 19,34,287 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,34,287) = 1

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

GCF(19,34,287) x common factors =1 x 1 = 1

LCM(19,34,287) = ( 19 × 34 × 287 ) / 1

LCM(19,34,287) = 185402 / 1

LCM(19,34,287) = 185402


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 25/19, 964/34, 647/287

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 25/19, 964/34, 647/287?

Answer: GCF of Numerators as per given numbers 25/19, 964/34, 647/287 is

GCF of Numerators i.e. for 25,964,647 is 1

LCM of denominators i.e. for 19,34,287 is 185402.

Thus, GCF of Fractions is 1/185402.Finally, GCF of Fractions for 25/19, 964/34, 647/287 is 1/185402.