How to Find GCF of 8426/585, 6802/1076?

GCF of 8426/585, 6802/1076

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 8426/585, 6802/1076 i.e 2/629460 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8426/585, 6802/1076.

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 8426/585,6802/1076?

Given fractions are 8426/585,6802/1076

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 8426/585,6802/1076, numerators are 8426,6802

Denominators are 585,1076

The GCF of 8426,6802 is 2 .

LCM of 585,1076 is 629460.

The greatest common factor of 8426/585,6802/1076 = [GCF of 8426,6802]/[LCM of 585,1076]= 2/629460

Therefore, the GCF of 8426/585,6802/1076 is 2/629460.

Greatest Common Factor of 8426,6802

To find the highest common factor of 8426,6802, we have to find the factors of both numbers and list the highest common factor.

The factors of 8426 are 1, 2, 11, 22, 383, 766, 4213, 8426

The factors of 6802 are 1, 2, 19, 38, 179, 358, 3401, 6802

The HCF of 8426,6802 is 2.

Lets's calculate GCF of 8426,6802

Greatest Common Factor (GCF) of 8426,6802 By Common Division

2	8426, 6802
	4213, 3401

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 8426,6802 By Matching Biggest Common Factor Method

Now, list down the factors of 8426

1,2,11,22,383,766,4213,8426

Now, list down the factors of 6802

1,2,19,38,179,358,3401,6802

Greatest Common Factor

We found the factors 8426,6802 . The biggest common factor number is the GCF number.
So the greatest common factor 8426,6802 is 2.

Lets's calculate LCM of 585,1076

Lowest Common Multiple of 585,1076 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 629460

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/629460

Therefore, the GCF of Fractions 8426/585,6802/1076 is 2/629460

Least Common Multiple of 585,1076 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 585,1076 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(585,1076) = 1

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

GCF(585,1076) x common factors =1 x 1 = 1

LCM(585,1076) = ( 585 × 1076 ) / 1

LCM(585,1076) = 629460 / 1

LCM(585,1076) = 629460

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FAQs on GCF of Fractions of 8426/585, 6802/1076

1. What is the HCF of 8426,6802?

The HCF of 8426,6802 is 2

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 8426/585, 6802/1076?

Answer: GCF of Numerators as per given numbers 8426/585, 6802/1076 is

GCF of Numerators i.e. for 8426,6802 is 2

LCM of denominators i.e. for 585,1076 is 629460.

Thus, GCF of Fractions is 2/629460.Finally, GCF of Fractions for 8426/585, 6802/1076 is 2/629460.