How to Find GCF of 6674/268, 7685/642?

GCF of 6674/268, 7685/642

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 6674/268, 7685/642 i.e 1/86028 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6674/268, 7685/642.

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 6674/268,7685/642?

Given fractions are 6674/268,7685/642

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 6674/268,7685/642, numerators are 6674,7685

Denominators are 268,642

The GCF of 6674,7685 is 1 .

LCM of 268,642 is 86028.

The greatest common factor of 6674/268,7685/642 = [GCF of 6674,7685]/[LCM of 268,642]= 1/86028

Therefore, the GCF of 6674/268,7685/642 is 1/86028.

Greatest Common Factor of 6674,7685

To find the highest common factor of 6674,7685, we have to find the factors of both numbers and list the highest common factor.

The factors of 6674 are 1, 2, 47, 71, 94, 142, 3337, 6674

The factors of 7685 are 1, 5, 29, 53, 145, 265, 1537, 7685

The HCF of 6674,7685 is 1.

Lets's calculate GCF of 6674,7685

Greatest Common Factor (GCF) of 6674,7685 By Common Division

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

Greatest Common Factor of 6674,7685 By Matching Biggest Common Factor Method

Now, list down the factors of 6674

1,2,47,71,94,142,3337,6674

Now, list down the factors of 7685

1,5,29,53,145,265,1537,7685

Greatest Common Factor

We found the factors 6674,7685 . The biggest common factor number is the GCF number.
So the greatest common factor 6674,7685 is 1.

Lets's calculate LCM of 268,642

Lowest Common Multiple of 268,642 using Common Division

2	268, 642
	134, 321

∴ So the LCM of the given numbers is 2 x 134 x 321 = 86028

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/86028

Therefore, the GCF of Fractions 6674/268,7685/642 is 1/86028

Least Common Multiple of 268,642 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 268,642 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(268,642) = 2

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

GCF(268,642) x common factors =2 x 1 = 2

LCM(268,642) = ( 268 × 642 ) / 2

LCM(268,642) = 172056 / 2

LCM(268,642) = 86028

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FAQs on GCF of Fractions of 6674/268, 7685/642

1. What is the HCF of 6674,7685?

The HCF of 6674,7685 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 6674/268, 7685/642?

Answer: GCF of Numerators as per given numbers 6674/268, 7685/642 is

GCF of Numerators i.e. for 6674,7685 is 1

LCM of denominators i.e. for 268,642 is 86028.

Thus, GCF of Fractions is 1/86028.Finally, GCF of Fractions for 6674/268, 7685/642 is 1/86028.