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GCF of 643/25, 394/195

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 643/25, 394/195 i.e 1/975 easily. The following is the detailed procedure to determine the greatest common factor of fractions 643/25, 394/195.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 643/25,394/195?

Given fractions are 643/25,394/195

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 643/25,394/195, numerators are 643,394

Denominators are 25,195

The GCF of 643,394 is 1 .

LCM of 25,195 is 975.

The greatest common factor of 643/25,394/195 = [GCF of 643,394]/[LCM of 25,195]= 1/975

Therefore, the GCF of 643/25,394/195 is 1/975.

Greatest Common Factor of 643,394

To find the highest common factor of 643,394, we have to find the factors of both numbers and list the highest common factor.

The factors of 643 are 1, 643

The factors of 394 are 1, 2, 197, 394

The HCF of 643,394 is 1.

Lets's calculate GCF of 643,394

Greatest Common Factor (GCF) of 643,394 By Common Division

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

Greatest Common Factor of 643,394 By Matching Biggest Common Factor Method

Greatest Common Factor of 643,394 By Matching Biggest Common Factor Method

Now, list down the factors of 643

:

1,643

Now, list down the factors of 394

:

1,2,197,394

Greatest Common Factor

We found the factors 643,394 . The biggest common factor number is the GCF number.
So the greatest common factor 643,394 is 1.

Lets's calculate LCM of 25,195

Lowest Common Multiple of 25,195 using Common Division

5 25, 195
5, 39

∴ So the LCM of the given numbers is 5 x 5 x 39 = 975

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/975

Therefore, the GCF of Fractions 643/25,394/195 is 1/975

Least Common Multiple of 25,195 with GCF Formula

Least Common Multiple of 25,195 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 25,195 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,195) = 5

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

GCF(25,195) x common factors =5 x 1 = 5

LCM(25,195) = ( 25 × 195 ) / 5

LCM(25,195) = 4875 / 5

LCM(25,195) = 975


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FAQs on GCF of Fractions of 643/25, 394/195

1. What is the HCF of 643,394?

The HCF of 643,394 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 643/25, 394/195?

Answer: GCF of Numerators as per given numbers 643/25, 394/195 is

GCF of Numerators i.e. for 643,394 is 1

LCM of denominators i.e. for 25,195 is 975.

Thus, GCF of Fractions is 1/975.Finally, GCF of Fractions for 643/25, 394/195 is 1/975.