How to Find GCF of 981/102, 8822/853?

GCF of 981/102, 8822/853

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 981/102, 8822/853 i.e 1/87006 easily. The following is the detailed procedure to determine the greatest common factor of fractions 981/102, 8822/853.

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 981/102,8822/853?

Given fractions are 981/102,8822/853

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 981/102,8822/853, numerators are 981,8822

Denominators are 102,853

The GCF of 981,8822 is 1 .

LCM of 102,853 is 87006.

The greatest common factor of 981/102,8822/853 = [GCF of 981,8822]/[LCM of 102,853]= 1/87006

Therefore, the GCF of 981/102,8822/853 is 1/87006.

Greatest Common Factor of 981,8822

To find the highest common factor of 981,8822, 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 8822 are 1, 2, 11, 22, 401, 802, 4411, 8822

The HCF of 981,8822 is 1.

Lets's calculate GCF of 981,8822

Greatest Common Factor (GCF) of 981,8822 By Common Division

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

Greatest Common Factor of 981,8822 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 8822

1,2,11,22,401,802,4411,8822

Greatest Common Factor

We found the factors 981,8822 . The biggest common factor number is the GCF number.
So the greatest common factor 981,8822 is 1.

Lets's calculate LCM of 102,853

Lowest Common Multiple of 102,853 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 87006

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/87006

Therefore, the GCF of Fractions 981/102,8822/853 is 1/87006

Least Common Multiple of 102,853 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 102,853 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(102,853) = 1

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

GCF(102,853) x common factors =1 x 1 = 1

LCM(102,853) = ( 102 × 853 ) / 1

LCM(102,853) = 87006 / 1

LCM(102,853) = 87006

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FAQs on GCF of Fractions of 981/102, 8822/853

1. What is the HCF of 981,8822?

The HCF of 981,8822 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 981/102, 8822/853?

Answer: GCF of Numerators as per given numbers 981/102, 8822/853 is

GCF of Numerators i.e. for 981,8822 is 1

LCM of denominators i.e. for 102,853 is 87006.

Thus, GCF of Fractions is 1/87006.Finally, GCF of Fractions for 981/102, 8822/853 is 1/87006.