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GCF of 195/711, 457/678

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 195/711, 457/678 i.e 1/160686 easily. The following is the detailed procedure to determine the greatest common factor of fractions 195/711, 457/678.

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 195/711,457/678?

Given fractions are 195/711,457/678

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 195/711,457/678, numerators are 195,457

Denominators are 711,678

The GCF of 195,457 is 1 .

LCM of 711,678 is 160686.

The greatest common factor of 195/711,457/678 = [GCF of 195,457]/[LCM of 711,678]= 1/160686

Therefore, the GCF of 195/711,457/678 is 1/160686.

Greatest Common Factor of 195,457

To find the highest common factor of 195,457, we have to find the factors of both numbers and list the highest common factor.

The factors of 195 are 1, 3, 5, 13, 15, 39, 65, 195

The factors of 457 are 1, 457

The HCF of 195,457 is 1.

Lets's calculate GCF of 195,457

Greatest Common Factor (GCF) of 195,457 By Common Division

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

Greatest Common Factor of 195,457 By Matching Biggest Common Factor Method

Greatest Common Factor of 195,457 By Matching Biggest Common Factor Method

Now, list down the factors of 195

:

1,3,5,13,15,39,65,195

Now, list down the factors of 457

:

1,457

Greatest Common Factor

We found the factors 195,457 . The biggest common factor number is the GCF number.
So the greatest common factor 195,457 is 1.

Lets's calculate LCM of 711,678

Lowest Common Multiple of 711,678 using Common Division

3 711, 678
237, 226

∴ So the LCM of the given numbers is 3 x 237 x 226 = 160686

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/160686

Therefore, the GCF of Fractions 195/711,457/678 is 1/160686

Least Common Multiple of 711,678 with GCF Formula

Least Common Multiple of 711,678 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 711,678 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(711,678) = 3

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

GCF(711,678) x common factors =3 x 1 = 3

LCM(711,678) = ( 711 × 678 ) / 3

LCM(711,678) = 482058 / 3

LCM(711,678) = 160686


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FAQs on GCF of Fractions of 195/711, 457/678

1. What is the HCF of 195,457?

The HCF of 195,457 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 195/711, 457/678?

Answer: GCF of Numerators as per given numbers 195/711, 457/678 is

GCF of Numerators i.e. for 195,457 is 1

LCM of denominators i.e. for 711,678 is 160686.

Thus, GCF of Fractions is 1/160686.Finally, GCF of Fractions for 195/711, 457/678 is 1/160686.