How to Find GCF of 6698/688, 9439/9612?

GCF of 6698/688, 9439/9612

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 6698/688, 9439/9612 i.e 1/1653264 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6698/688, 9439/9612.

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 6698/688,9439/9612?

Given fractions are 6698/688,9439/9612

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 6698/688,9439/9612, numerators are 6698,9439

Denominators are 688,9612

The GCF of 6698,9439 is 1 .

LCM of 688,9612 is 1653264.

The greatest common factor of 6698/688,9439/9612 = [GCF of 6698,9439]/[LCM of 688,9612]= 1/1653264

Therefore, the GCF of 6698/688,9439/9612 is 1/1653264.

Greatest Common Factor of 6698,9439

To find the highest common factor of 6698,9439, we have to find the factors of both numbers and list the highest common factor.

The factors of 6698 are 1, 2, 17, 34, 197, 394, 3349, 6698

The factors of 9439 are 1, 9439

The HCF of 6698,9439 is 1.

Lets's calculate GCF of 6698,9439

Greatest Common Factor (GCF) of 6698,9439 By Common Division

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

Greatest Common Factor of 6698,9439 By Matching Biggest Common Factor Method

Now, list down the factors of 6698

1,2,17,34,197,394,3349,6698

Now, list down the factors of 9439

1,9439

Greatest Common Factor

We found the factors 6698,9439 . The biggest common factor number is the GCF number.
So the greatest common factor 6698,9439 is 1.

Lets's calculate LCM of 688,9612

Lowest Common Multiple of 688,9612 using Common Division

2	688, 9612
2	344, 4806
	172, 2403

∴ So the LCM of the given numbers is 2 x 2 x 172 x 2403 = 1653264

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1653264

Therefore, the GCF of Fractions 6698/688,9439/9612 is 1/1653264

Least Common Multiple of 688,9612 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 688,9612 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(688,9612) = 4

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

GCF(688,9612) x common factors =4 x 1 = 4

LCM(688,9612) = ( 688 × 9612 ) / 4

LCM(688,9612) = 6613056 / 4

LCM(688,9612) = 1653264

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FAQs on GCF of Fractions of 6698/688, 9439/9612

1. What is the HCF of 6698,9439?

The HCF of 6698,9439 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 6698/688, 9439/9612?

Answer: GCF of Numerators as per given numbers 6698/688, 9439/9612 is

GCF of Numerators i.e. for 6698,9439 is 1

LCM of denominators i.e. for 688,9612 is 1653264.

Thus, GCF of Fractions is 1/1653264.Finally, GCF of Fractions for 6698/688, 9439/9612 is 1/1653264.