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GCF of 385/258, 662/742

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 385/258, 662/742 i.e 1/95718 easily. The following is the detailed procedure to determine the greatest common factor of fractions 385/258, 662/742.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 385/258,662/742?

Given fractions are 385/258,662/742

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 385/258,662/742, numerators are 385,662

Denominators are 258,742

The GCF of 385,662 is 1 .

LCM of 258,742 is 95718.

The greatest common factor of 385/258,662/742 = [GCF of 385,662]/[LCM of 258,742]= 1/95718

Therefore, the GCF of 385/258,662/742 is 1/95718.

Greatest Common Factor of 385,662

To find the highest common factor of 385,662, we have to find the factors of both numbers and list the highest common factor.

The factors of 385 are 1, 5, 7, 11, 35, 55, 77, 385

The factors of 662 are 1, 2, 331, 662

The HCF of 385,662 is 1.

Lets's calculate GCF of 385,662

Greatest Common Factor (GCF) of 385,662 By Common Division

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

Greatest Common Factor of 385,662 By Matching Biggest Common Factor Method

Greatest Common Factor of 385,662 By Matching Biggest Common Factor Method

Now, list down the factors of 385

:

1,5,7,11,35,55,77,385

Now, list down the factors of 662

:

1,2,331,662

Greatest Common Factor

We found the factors 385,662 . The biggest common factor number is the GCF number.
So the greatest common factor 385,662 is 1.

Lets's calculate LCM of 258,742

Lowest Common Multiple of 258,742 using Common Division

2 258, 742
129, 371

∴ So the LCM of the given numbers is 2 x 129 x 371 = 95718

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/95718

Therefore, the GCF of Fractions 385/258,662/742 is 1/95718

Least Common Multiple of 258,742 with GCF Formula

Least Common Multiple of 258,742 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 258,742 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(258,742) = 2

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

GCF(258,742) x common factors =2 x 1 = 2

LCM(258,742) = ( 258 × 742 ) / 2

LCM(258,742) = 191436 / 2

LCM(258,742) = 95718


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FAQs on GCF of Fractions of 385/258, 662/742

1. What is the HCF of 385,662?

The HCF of 385,662 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 385/258, 662/742?

Answer: GCF of Numerators as per given numbers 385/258, 662/742 is

GCF of Numerators i.e. for 385,662 is 1

LCM of denominators i.e. for 258,742 is 95718.

Thus, GCF of Fractions is 1/95718.Finally, GCF of Fractions for 385/258, 662/742 is 1/95718.