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GCF of 681/76, 675/997

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 681/76, 675/997 i.e 3/75772 easily. The following is the detailed procedure to determine the greatest common factor of fractions 681/76, 675/997.

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 681/76,675/997?

Given fractions are 681/76,675/997

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 681/76,675/997, numerators are 681,675

Denominators are 76,997

The GCF of 681,675 is 3 .

LCM of 76,997 is 75772.

The greatest common factor of 681/76,675/997 = [GCF of 681,675]/[LCM of 76,997]= 3/75772

Therefore, the GCF of 681/76,675/997 is 3/75772.

Greatest Common Factor of 681,675

To find the highest common factor of 681,675, we have to find the factors of both numbers and list the highest common factor.

The factors of 681 are 1, 3, 227, 681

The factors of 675 are 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

The HCF of 681,675 is 3.

Lets's calculate GCF of 681,675

Greatest Common Factor (GCF) of 681,675 By Common Division

3 681, 675
227, 225

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 681,675 By Matching Biggest Common Factor Method

Greatest Common Factor of 681,675 By Matching Biggest Common Factor Method

Now, list down the factors of 681

:

1,3,227,681

Now, list down the factors of 675

:

1,3,5,9,15,25,27,45,75,135,225,675

Greatest Common Factor

We found the factors 681,675 . The biggest common factor number is the GCF number.
So the greatest common factor 681,675 is 3.

Lets's calculate LCM of 76,997

Lowest Common Multiple of 76,997 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 75772

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/75772

Therefore, the GCF of Fractions 681/76,675/997 is 3/75772

Least Common Multiple of 76,997 with GCF Formula

Least Common Multiple of 76,997 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 76,997 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,997) = 1

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

GCF(76,997) x common factors =1 x 1 = 1

LCM(76,997) = ( 76 × 997 ) / 1

LCM(76,997) = 75772 / 1

LCM(76,997) = 75772


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FAQs on GCF of Fractions of 681/76, 675/997

1. What is the HCF of 681,675?

The HCF of 681,675 is 3

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 681/76, 675/997?

Answer: GCF of Numerators as per given numbers 681/76, 675/997 is

GCF of Numerators i.e. for 681,675 is 3

LCM of denominators i.e. for 76,997 is 75772.

Thus, GCF of Fractions is 3/75772.Finally, GCF of Fractions for 681/76, 675/997 is 3/75772.