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GCF of 597/422, 658/148

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 597/422, 658/148 i.e 1/31228 easily. The following is the detailed procedure to determine the greatest common factor of fractions 597/422, 658/148.

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 597/422,658/148?

Given fractions are 597/422,658/148

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 597/422,658/148, numerators are 597,658

Denominators are 422,148

The GCF of 597,658 is 1 .

LCM of 422,148 is 31228.

The greatest common factor of 597/422,658/148 = [GCF of 597,658]/[LCM of 422,148]= 1/31228

Therefore, the GCF of 597/422,658/148 is 1/31228.

Greatest Common Factor of 597,658

To find the highest common factor of 597,658, we have to find the factors of both numbers and list the highest common factor.

The factors of 597 are 1, 3, 199, 597

The factors of 658 are 1, 2, 7, 14, 47, 94, 329, 658

The HCF of 597,658 is 1.

Lets's calculate GCF of 597,658

Greatest Common Factor (GCF) of 597,658 By Common Division

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

Greatest Common Factor of 597,658 By Matching Biggest Common Factor Method

Greatest Common Factor of 597,658 By Matching Biggest Common Factor Method

Now, list down the factors of 597

:

1,3,199,597

Now, list down the factors of 658

:

1,2,7,14,47,94,329,658

Greatest Common Factor

We found the factors 597,658 . The biggest common factor number is the GCF number.
So the greatest common factor 597,658 is 1.

Lets's calculate LCM of 422,148

Lowest Common Multiple of 422,148 using Common Division

2 422, 148
211, 74

∴ So the LCM of the given numbers is 2 x 211 x 74 = 31228

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/31228

Therefore, the GCF of Fractions 597/422,658/148 is 1/31228

Least Common Multiple of 422,148 with GCF Formula

Least Common Multiple of 422,148 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 422,148 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(422,148) = 2

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

GCF(422,148) x common factors =2 x 1 = 2

LCM(422,148) = ( 422 × 148 ) / 2

LCM(422,148) = 62456 / 2

LCM(422,148) = 31228


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FAQs on GCF of Fractions of 597/422, 658/148

1. What is the HCF of 597,658?

The HCF of 597,658 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 597/422, 658/148?

Answer: GCF of Numerators as per given numbers 597/422, 658/148 is

GCF of Numerators i.e. for 597,658 is 1

LCM of denominators i.e. for 422,148 is 31228.

Thus, GCF of Fractions is 1/31228.Finally, GCF of Fractions for 597/422, 658/148 is 1/31228.