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GCF of 353/64, 580/6281

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 353/64, 580/6281 i.e 1/401984 easily. The following is the detailed procedure to determine the greatest common factor of fractions 353/64, 580/6281.

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 353/64,580/6281?

Given fractions are 353/64,580/6281

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 353/64,580/6281, numerators are 353,580

Denominators are 64,6281

The GCF of 353,580 is 1 .

LCM of 64,6281 is 401984.

The greatest common factor of 353/64,580/6281 = [GCF of 353,580]/[LCM of 64,6281]= 1/401984

Therefore, the GCF of 353/64,580/6281 is 1/401984.

Greatest Common Factor of 353,580

To find the highest common factor of 353,580, we have to find the factors of both numbers and list the highest common factor.

The factors of 353 are 1, 353

The factors of 580 are 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

The HCF of 353,580 is 1.

Lets's calculate GCF of 353,580

Greatest Common Factor (GCF) of 353,580 By Common Division

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

Greatest Common Factor of 353,580 By Matching Biggest Common Factor Method

Greatest Common Factor of 353,580 By Matching Biggest Common Factor Method

Now, list down the factors of 353

:

1,353

Now, list down the factors of 580

:

1,2,4,5,10,20,29,58,116,145,290,580

Greatest Common Factor

We found the factors 353,580 . The biggest common factor number is the GCF number.
So the greatest common factor 353,580 is 1.

Lets's calculate LCM of 64,6281

Lowest Common Multiple of 64,6281 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 401984

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/401984

Therefore, the GCF of Fractions 353/64,580/6281 is 1/401984

Least Common Multiple of 64,6281 with GCF Formula

Least Common Multiple of 64,6281 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 64,6281 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,6281) = 1

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

GCF(64,6281) x common factors =1 x 1 = 1

LCM(64,6281) = ( 64 × 6281 ) / 1

LCM(64,6281) = 401984 / 1

LCM(64,6281) = 401984


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FAQs on GCF of Fractions of 353/64, 580/6281

1. What is the HCF of 353,580?

The HCF of 353,580 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 353/64, 580/6281?

Answer: GCF of Numerators as per given numbers 353/64, 580/6281 is

GCF of Numerators i.e. for 353,580 is 1

LCM of denominators i.e. for 64,6281 is 401984.

Thus, GCF of Fractions is 1/401984.Finally, GCF of Fractions for 353/64, 580/6281 is 1/401984.