How to Find GCF of 981/675, 3521/6754?

GCF of 981/675, 3521/6754

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 981/675, 3521/6754 i.e 1/4558950 easily. The following is the detailed procedure to determine the greatest common factor of fractions 981/675, 3521/6754.

Enter two or more fractions separated by "commas"

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

What is the GCF of 981/675,3521/6754?

Given fractions are 981/675,3521/6754

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 981/675,3521/6754, numerators are 981,3521

Denominators are 675,6754

The GCF of 981,3521 is 1 .

LCM of 675,6754 is 4558950.

The greatest common factor of 981/675,3521/6754 = [GCF of 981,3521]/[LCM of 675,6754]= 1/4558950

Therefore, the GCF of 981/675,3521/6754 is 1/4558950.

Greatest Common Factor of 981,3521

To find the highest common factor of 981,3521, we have to find the factors of both numbers and list the highest common factor.

The factors of 981 are 1, 3, 9, 109, 327, 981

The factors of 3521 are 1, 7, 503, 3521

The HCF of 981,3521 is 1.

Lets's calculate GCF of 981,3521

Greatest Common Factor (GCF) of 981,3521 By Common Division

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

Greatest Common Factor of 981,3521 By Matching Biggest Common Factor Method

Now, list down the factors of 981

1,3,9,109,327,981

Now, list down the factors of 3521

1,7,503,3521

Greatest Common Factor

We found the factors 981,3521 . The biggest common factor number is the GCF number.
So the greatest common factor 981,3521 is 1.

Lets's calculate LCM of 675,6754

Lowest Common Multiple of 675,6754 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4558950

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4558950

Therefore, the GCF of Fractions 981/675,3521/6754 is 1/4558950

Least Common Multiple of 675,6754 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 675,6754 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(675,6754) = 1

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

GCF(675,6754) x common factors =1 x 1 = 1

LCM(675,6754) = ( 675 × 6754 ) / 1

LCM(675,6754) = 4558950 / 1

LCM(675,6754) = 4558950

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FAQs on GCF of Fractions of 981/675, 3521/6754

1. What is the HCF of 981,3521?

The HCF of 981,3521 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 981/675, 3521/6754?

Answer: GCF of Numerators as per given numbers 981/675, 3521/6754 is

GCF of Numerators i.e. for 981,3521 is 1

LCM of denominators i.e. for 675,6754 is 4558950.

Thus, GCF of Fractions is 1/4558950.Finally, GCF of Fractions for 981/675, 3521/6754 is 1/4558950.