How to Find GCF of 8867/802, 8742/5658?

GCF of 8867/802, 8742/5658

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 8867/802, 8742/5658 i.e 1/2268858 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8867/802, 8742/5658.

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 8867/802,8742/5658?

Given fractions are 8867/802,8742/5658

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 8867/802,8742/5658, numerators are 8867,8742

Denominators are 802,5658

The GCF of 8867,8742 is 1 .

LCM of 802,5658 is 2268858.

The greatest common factor of 8867/802,8742/5658 = [GCF of 8867,8742]/[LCM of 802,5658]= 1/2268858

Therefore, the GCF of 8867/802,8742/5658 is 1/2268858.

Greatest Common Factor of 8867,8742

To find the highest common factor of 8867,8742, we have to find the factors of both numbers and list the highest common factor.

The factors of 8867 are 1, 8867

The factors of 8742 are 1, 2, 3, 6, 31, 47, 62, 93, 94, 141, 186, 282, 1457, 2914, 4371, 8742

The HCF of 8867,8742 is 1.

Lets's calculate GCF of 8867,8742

Greatest Common Factor (GCF) of 8867,8742 By Common Division

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

Greatest Common Factor of 8867,8742 By Matching Biggest Common Factor Method

Now, list down the factors of 8867

1,8867

Now, list down the factors of 8742

1,2,3,6,31,47,62,93,94,141,186,282,1457,2914,4371,8742

Greatest Common Factor

We found the factors 8867,8742 . The biggest common factor number is the GCF number.
So the greatest common factor 8867,8742 is 1.

Lets's calculate LCM of 802,5658

Lowest Common Multiple of 802,5658 using Common Division

2	802, 5658
	401, 2829

∴ So the LCM of the given numbers is 2 x 401 x 2829 = 2268858

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2268858

Therefore, the GCF of Fractions 8867/802,8742/5658 is 1/2268858

Least Common Multiple of 802,5658 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 802,5658 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(802,5658) = 2

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

GCF(802,5658) x common factors =2 x 1 = 2

LCM(802,5658) = ( 802 × 5658 ) / 2

LCM(802,5658) = 4537716 / 2

LCM(802,5658) = 2268858

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FAQs on GCF of Fractions of 8867/802, 8742/5658

1. What is the HCF of 8867,8742?

The HCF of 8867,8742 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 8867/802, 8742/5658?

Answer: GCF of Numerators as per given numbers 8867/802, 8742/5658 is

GCF of Numerators i.e. for 8867,8742 is 1

LCM of denominators i.e. for 802,5658 is 2268858.

Thus, GCF of Fractions is 1/2268858.Finally, GCF of Fractions for 8867/802, 8742/5658 is 1/2268858.