How to Find GCF of 8567/981, 1106/7928?

GCF of 8567/981, 1106/7928

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 8567/981, 1106/7928 i.e 1/7777368 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8567/981, 1106/7928.

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 8567/981,1106/7928?

Given fractions are 8567/981,1106/7928

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 8567/981,1106/7928, numerators are 8567,1106

Denominators are 981,7928

The GCF of 8567,1106 is 1 .

LCM of 981,7928 is 7777368.

The greatest common factor of 8567/981,1106/7928 = [GCF of 8567,1106]/[LCM of 981,7928]= 1/7777368

Therefore, the GCF of 8567/981,1106/7928 is 1/7777368.

Greatest Common Factor of 8567,1106

To find the highest common factor of 8567,1106, we have to find the factors of both numbers and list the highest common factor.

The factors of 8567 are 1, 13, 659, 8567

The factors of 1106 are 1, 2, 7, 14, 79, 158, 553, 1106

The HCF of 8567,1106 is 1.

Lets's calculate GCF of 8567,1106

Greatest Common Factor (GCF) of 8567,1106 By Common Division

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

Greatest Common Factor of 8567,1106 By Matching Biggest Common Factor Method

Now, list down the factors of 8567

1,13,659,8567

Now, list down the factors of 1106

1,2,7,14,79,158,553,1106

Greatest Common Factor

We found the factors 8567,1106 . The biggest common factor number is the GCF number.
So the greatest common factor 8567,1106 is 1.

Lets's calculate LCM of 981,7928

Lowest Common Multiple of 981,7928 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7777368

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7777368

Therefore, the GCF of Fractions 8567/981,1106/7928 is 1/7777368

Least Common Multiple of 981,7928 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 981,7928 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(981,7928) = 1

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

GCF(981,7928) x common factors =1 x 1 = 1

LCM(981,7928) = ( 981 × 7928 ) / 1

LCM(981,7928) = 7777368 / 1

LCM(981,7928) = 7777368

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 8567/981, 1106/7928

1. What is the HCF of 8567,1106?

The HCF of 8567,1106 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 8567/981, 1106/7928?

Answer: GCF of Numerators as per given numbers 8567/981, 1106/7928 is

GCF of Numerators i.e. for 8567,1106 is 1

LCM of denominators i.e. for 981,7928 is 7777368.

Thus, GCF of Fractions is 1/7777368.Finally, GCF of Fractions for 8567/981, 1106/7928 is 1/7777368.