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GCF of 654/850, 493/964

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 654/850, 493/964 i.e 1/409700 easily. The following is the detailed procedure to determine the greatest common factor of fractions 654/850, 493/964.

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 654/850,493/964?

Given fractions are 654/850,493/964

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 654/850,493/964, numerators are 654,493

Denominators are 850,964

The GCF of 654,493 is 1 .

LCM of 850,964 is 409700.

The greatest common factor of 654/850,493/964 = [GCF of 654,493]/[LCM of 850,964]= 1/409700

Therefore, the GCF of 654/850,493/964 is 1/409700.

Greatest Common Factor of 654,493

To find the highest common factor of 654,493, we have to find the factors of both numbers and list the highest common factor.

The factors of 654 are 1, 2, 3, 6, 109, 218, 327, 654

The factors of 493 are 1, 17, 29, 493

The HCF of 654,493 is 1.

Lets's calculate GCF of 654,493

Greatest Common Factor (GCF) of 654,493 By Common Division

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

Greatest Common Factor of 654,493 By Matching Biggest Common Factor Method

Greatest Common Factor of 654,493 By Matching Biggest Common Factor Method

Now, list down the factors of 654

:

1,2,3,6,109,218,327,654

Now, list down the factors of 493

:

1,17,29,493

Greatest Common Factor

We found the factors 654,493 . The biggest common factor number is the GCF number.
So the greatest common factor 654,493 is 1.

Lets's calculate LCM of 850,964

Lowest Common Multiple of 850,964 using Common Division

2 850, 964
425, 482

∴ So the LCM of the given numbers is 2 x 425 x 482 = 409700

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/409700

Therefore, the GCF of Fractions 654/850,493/964 is 1/409700

Least Common Multiple of 850,964 with GCF Formula

Least Common Multiple of 850,964 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 850,964 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(850,964) = 2

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

GCF(850,964) x common factors =2 x 1 = 2

LCM(850,964) = ( 850 × 964 ) / 2

LCM(850,964) = 819400 / 2

LCM(850,964) = 409700


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FAQs on GCF of Fractions of 654/850, 493/964

1. What is the HCF of 654,493?

The HCF of 654,493 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 654/850, 493/964?

Answer: GCF of Numerators as per given numbers 654/850, 493/964 is

GCF of Numerators i.e. for 654,493 is 1

LCM of denominators i.e. for 850,964 is 409700.

Thus, GCF of Fractions is 1/409700.Finally, GCF of Fractions for 654/850, 493/964 is 1/409700.