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GCF of 397/970, 702/666

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 397/970, 702/666 i.e 1/323010 easily. The following is the detailed procedure to determine the greatest common factor of fractions 397/970, 702/666.

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 397/970,702/666?

Given fractions are 397/970,702/666

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 397/970,702/666, numerators are 397,702

Denominators are 970,666

The GCF of 397,702 is 1 .

LCM of 970,666 is 323010.

The greatest common factor of 397/970,702/666 = [GCF of 397,702]/[LCM of 970,666]= 1/323010

Therefore, the GCF of 397/970,702/666 is 1/323010.

Greatest Common Factor of 397,702

To find the highest common factor of 397,702, we have to find the factors of both numbers and list the highest common factor.

The factors of 397 are 1, 397

The factors of 702 are 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

The HCF of 397,702 is 1.

Lets's calculate GCF of 397,702

Greatest Common Factor (GCF) of 397,702 By Common Division

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

Greatest Common Factor of 397,702 By Matching Biggest Common Factor Method

Greatest Common Factor of 397,702 By Matching Biggest Common Factor Method

Now, list down the factors of 397

:

1,397

Now, list down the factors of 702

:

1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702

Greatest Common Factor

We found the factors 397,702 . The biggest common factor number is the GCF number.
So the greatest common factor 397,702 is 1.

Lets's calculate LCM of 970,666

Lowest Common Multiple of 970,666 using Common Division

2 970, 666
485, 333

∴ So the LCM of the given numbers is 2 x 485 x 333 = 323010

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/323010

Therefore, the GCF of Fractions 397/970,702/666 is 1/323010

Least Common Multiple of 970,666 with GCF Formula

Least Common Multiple of 970,666 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 970,666 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(970,666) = 2

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

GCF(970,666) x common factors =2 x 1 = 2

LCM(970,666) = ( 970 × 666 ) / 2

LCM(970,666) = 646020 / 2

LCM(970,666) = 323010


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FAQs on GCF of Fractions of 397/970, 702/666

1. What is the HCF of 397,702?

The HCF of 397,702 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 397/970, 702/666?

Answer: GCF of Numerators as per given numbers 397/970, 702/666 is

GCF of Numerators i.e. for 397,702 is 1

LCM of denominators i.e. for 970,666 is 323010.

Thus, GCF of Fractions is 1/323010.Finally, GCF of Fractions for 397/970, 702/666 is 1/323010.