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GCF of 510/652, 473/512

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 510/652, 473/512 i.e 1/83456 easily. The following is the detailed procedure to determine the greatest common factor of fractions 510/652, 473/512.

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 510/652,473/512?

Given fractions are 510/652,473/512

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 510/652,473/512, numerators are 510,473

Denominators are 652,512

The GCF of 510,473 is 1 .

LCM of 652,512 is 83456.

The greatest common factor of 510/652,473/512 = [GCF of 510,473]/[LCM of 652,512]= 1/83456

Therefore, the GCF of 510/652,473/512 is 1/83456.

Greatest Common Factor of 510,473

To find the highest common factor of 510,473, we have to find the factors of both numbers and list the highest common factor.

The factors of 510 are 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

The factors of 473 are 1, 11, 43, 473

The HCF of 510,473 is 1.

Lets's calculate GCF of 510,473

Greatest Common Factor (GCF) of 510,473 By Common Division

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

Greatest Common Factor of 510,473 By Matching Biggest Common Factor Method

Greatest Common Factor of 510,473 By Matching Biggest Common Factor Method

Now, list down the factors of 510

:

1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510

Now, list down the factors of 473

:

1,11,43,473

Greatest Common Factor

We found the factors 510,473 . The biggest common factor number is the GCF number.
So the greatest common factor 510,473 is 1.

Lets's calculate LCM of 652,512

Lowest Common Multiple of 652,512 using Common Division

2 652, 512
2 326, 256
163, 128

∴ So the LCM of the given numbers is 2 x 2 x 163 x 128 = 83456

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/83456

Therefore, the GCF of Fractions 510/652,473/512 is 1/83456

Least Common Multiple of 652,512 with GCF Formula

Least Common Multiple of 652,512 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 652,512 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(652,512) = 4

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

GCF(652,512) x common factors =4 x 1 = 4

LCM(652,512) = ( 652 × 512 ) / 4

LCM(652,512) = 333824 / 4

LCM(652,512) = 83456


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FAQs on GCF of Fractions of 510/652, 473/512

1. What is the HCF of 510,473?

The HCF of 510,473 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 510/652, 473/512?

Answer: GCF of Numerators as per given numbers 510/652, 473/512 is

GCF of Numerators i.e. for 510,473 is 1

LCM of denominators i.e. for 652,512 is 83456.

Thus, GCF of Fractions is 1/83456.Finally, GCF of Fractions for 510/652, 473/512 is 1/83456.