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GCF of 397/238, 128/706

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 397/238, 128/706 i.e 1/84014 easily. The following is the detailed procedure to determine the greatest common factor of fractions 397/238, 128/706.

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 397/238,128/706?

Given fractions are 397/238,128/706

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 397/238,128/706, numerators are 397,128

Denominators are 238,706

The GCF of 397,128 is 1 .

LCM of 238,706 is 84014.

The greatest common factor of 397/238,128/706 = [GCF of 397,128]/[LCM of 238,706]= 1/84014

Therefore, the GCF of 397/238,128/706 is 1/84014.

Greatest Common Factor of 397,128

To find the highest common factor of 397,128, 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 128 are 1, 2, 4, 8, 16, 32, 64, 128

The HCF of 397,128 is 1.

Lets's calculate GCF of 397,128

Greatest Common Factor (GCF) of 397,128 By Common Division

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

Greatest Common Factor of 397,128 By Matching Biggest Common Factor Method

Greatest Common Factor of 397,128 By Matching Biggest Common Factor Method

Now, list down the factors of 397

:

1,397

Now, list down the factors of 128

:

1,2,4,8,16,32,64,128

Greatest Common Factor

We found the factors 397,128 . The biggest common factor number is the GCF number.
So the greatest common factor 397,128 is 1.

Lets's calculate LCM of 238,706

Lowest Common Multiple of 238,706 using Common Division

2 238, 706
119, 353

∴ So the LCM of the given numbers is 2 x 119 x 353 = 84014

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/84014

Therefore, the GCF of Fractions 397/238,128/706 is 1/84014

Least Common Multiple of 238,706 with GCF Formula

Least Common Multiple of 238,706 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 238,706 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(238,706) = 2

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

GCF(238,706) x common factors =2 x 1 = 2

LCM(238,706) = ( 238 × 706 ) / 2

LCM(238,706) = 168028 / 2

LCM(238,706) = 84014


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FAQs on GCF of Fractions of 397/238, 128/706

1. What is the HCF of 397,128?

The HCF of 397,128 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 397/238, 128/706?

Answer: GCF of Numerators as per given numbers 397/238, 128/706 is

GCF of Numerators i.e. for 397,128 is 1

LCM of denominators i.e. for 238,706 is 84014.

Thus, GCF of Fractions is 1/84014.Finally, GCF of Fractions for 397/238, 128/706 is 1/84014.