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GCF of 680/428, 337/196

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 680/428, 337/196 i.e 1/20972 easily. The following is the detailed procedure to determine the greatest common factor of fractions 680/428, 337/196.

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 680/428,337/196?

Given fractions are 680/428,337/196

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 680/428,337/196, numerators are 680,337

Denominators are 428,196

The GCF of 680,337 is 1 .

LCM of 428,196 is 20972.

The greatest common factor of 680/428,337/196 = [GCF of 680,337]/[LCM of 428,196]= 1/20972

Therefore, the GCF of 680/428,337/196 is 1/20972.

Greatest Common Factor of 680,337

To find the highest common factor of 680,337, we have to find the factors of both numbers and list the highest common factor.

The factors of 680 are 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

The factors of 337 are 1, 337

The HCF of 680,337 is 1.

Lets's calculate GCF of 680,337

Greatest Common Factor (GCF) of 680,337 By Common Division

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

Greatest Common Factor of 680,337 By Matching Biggest Common Factor Method

Greatest Common Factor of 680,337 By Matching Biggest Common Factor Method

Now, list down the factors of 680

:

1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680

Now, list down the factors of 337

:

1,337

Greatest Common Factor

We found the factors 680,337 . The biggest common factor number is the GCF number.
So the greatest common factor 680,337 is 1.

Lets's calculate LCM of 428,196

Lowest Common Multiple of 428,196 using Common Division

2 428, 196
2 214, 98
107, 49

∴ So the LCM of the given numbers is 2 x 2 x 107 x 49 = 20972

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20972

Therefore, the GCF of Fractions 680/428,337/196 is 1/20972

Least Common Multiple of 428,196 with GCF Formula

Least Common Multiple of 428,196 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 428,196 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(428,196) = 4

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

GCF(428,196) x common factors =4 x 1 = 4

LCM(428,196) = ( 428 × 196 ) / 4

LCM(428,196) = 83888 / 4

LCM(428,196) = 20972


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FAQs on GCF of Fractions of 680/428, 337/196

1. What is the HCF of 680,337?

The HCF of 680,337 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 680/428, 337/196?

Answer: GCF of Numerators as per given numbers 680/428, 337/196 is

GCF of Numerators i.e. for 680,337 is 1

LCM of denominators i.e. for 428,196 is 20972.

Thus, GCF of Fractions is 1/20972.Finally, GCF of Fractions for 680/428, 337/196 is 1/20972.