How to Find GCF of 8062/668, 3557/8798?

GCF of 8062/668, 3557/8798

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 8062/668, 3557/8798 i.e 1/2938532 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8062/668, 3557/8798.

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 8062/668,3557/8798?

Given fractions are 8062/668,3557/8798

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 8062/668,3557/8798, numerators are 8062,3557

Denominators are 668,8798

The GCF of 8062,3557 is 1 .

LCM of 668,8798 is 2938532.

The greatest common factor of 8062/668,3557/8798 = [GCF of 8062,3557]/[LCM of 668,8798]= 1/2938532

Therefore, the GCF of 8062/668,3557/8798 is 1/2938532.

Greatest Common Factor of 8062,3557

To find the highest common factor of 8062,3557, we have to find the factors of both numbers and list the highest common factor.

The factors of 8062 are 1, 2, 29, 58, 139, 278, 4031, 8062

The factors of 3557 are 1, 3557

The HCF of 8062,3557 is 1.

Lets's calculate GCF of 8062,3557

Greatest Common Factor (GCF) of 8062,3557 By Common Division

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

Greatest Common Factor of 8062,3557 By Matching Biggest Common Factor Method

Now, list down the factors of 8062

1,2,29,58,139,278,4031,8062

Now, list down the factors of 3557

1,3557

Greatest Common Factor

We found the factors 8062,3557 . The biggest common factor number is the GCF number.
So the greatest common factor 8062,3557 is 1.

Lets's calculate LCM of 668,8798

Lowest Common Multiple of 668,8798 using Common Division

2	668, 8798
	334, 4399

∴ So the LCM of the given numbers is 2 x 334 x 4399 = 2938532

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2938532

Therefore, the GCF of Fractions 8062/668,3557/8798 is 1/2938532

Least Common Multiple of 668,8798 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 668,8798 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(668,8798) = 2

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

GCF(668,8798) x common factors =2 x 1 = 2

LCM(668,8798) = ( 668 × 8798 ) / 2

LCM(668,8798) = 5877064 / 2

LCM(668,8798) = 2938532

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FAQs on GCF of Fractions of 8062/668, 3557/8798

1. What is the HCF of 8062,3557?

The HCF of 8062,3557 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 8062/668, 3557/8798?

Answer: GCF of Numerators as per given numbers 8062/668, 3557/8798 is

GCF of Numerators i.e. for 8062,3557 is 1

LCM of denominators i.e. for 668,8798 is 2938532.

Thus, GCF of Fractions is 1/2938532.Finally, GCF of Fractions for 8062/668, 3557/8798 is 1/2938532.