How to Find GCF of 8861/838, 8827/2222?

GCF of 8861/838, 8827/2222

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 8861/838, 8827/2222 i.e 1/931018 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8861/838, 8827/2222.

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 8861/838,8827/2222?

Given fractions are 8861/838,8827/2222

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 8861/838,8827/2222, numerators are 8861,8827

Denominators are 838,2222

The GCF of 8861,8827 is 1 .

LCM of 838,2222 is 931018.

The greatest common factor of 8861/838,8827/2222 = [GCF of 8861,8827]/[LCM of 838,2222]= 1/931018

Therefore, the GCF of 8861/838,8827/2222 is 1/931018.

Greatest Common Factor of 8861,8827

To find the highest common factor of 8861,8827, we have to find the factors of both numbers and list the highest common factor.

The factors of 8861 are 1, 8861

The factors of 8827 are 1, 7, 13, 91, 97, 679, 1261, 8827

The HCF of 8861,8827 is 1.

Lets's calculate GCF of 8861,8827

Greatest Common Factor (GCF) of 8861,8827 By Common Division

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

Greatest Common Factor of 8861,8827 By Matching Biggest Common Factor Method

Now, list down the factors of 8861

1,8861

Now, list down the factors of 8827

1,7,13,91,97,679,1261,8827

Greatest Common Factor

We found the factors 8861,8827 . The biggest common factor number is the GCF number.
So the greatest common factor 8861,8827 is 1.

Lets's calculate LCM of 838,2222

Lowest Common Multiple of 838,2222 using Common Division

2	838, 2222
	419, 1111

∴ So the LCM of the given numbers is 2 x 419 x 1111 = 931018

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/931018

Therefore, the GCF of Fractions 8861/838,8827/2222 is 1/931018

Least Common Multiple of 838,2222 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 838,2222 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(838,2222) = 2

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

GCF(838,2222) x common factors =2 x 1 = 2

LCM(838,2222) = ( 838 × 2222 ) / 2

LCM(838,2222) = 1862036 / 2

LCM(838,2222) = 931018

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FAQs on GCF of Fractions of 8861/838, 8827/2222

1. What is the HCF of 8861,8827?

The HCF of 8861,8827 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 8861/838, 8827/2222?

Answer: GCF of Numerators as per given numbers 8861/838, 8827/2222 is

GCF of Numerators i.e. for 8861,8827 is 1

LCM of denominators i.e. for 838,2222 is 931018.

Thus, GCF of Fractions is 1/931018.Finally, GCF of Fractions for 8861/838, 8827/2222 is 1/931018.