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GCF of 463/596, 8230/712

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 463/596, 8230/712 i.e 1/106088 easily. The following is the detailed procedure to determine the greatest common factor of fractions 463/596, 8230/712.

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 463/596,8230/712?

Given fractions are 463/596,8230/712

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 463/596,8230/712, numerators are 463,8230

Denominators are 596,712

The GCF of 463,8230 is 1 .

LCM of 596,712 is 106088.

The greatest common factor of 463/596,8230/712 = [GCF of 463,8230]/[LCM of 596,712]= 1/106088

Therefore, the GCF of 463/596,8230/712 is 1/106088.

Greatest Common Factor of 463,8230

To find the highest common factor of 463,8230, we have to find the factors of both numbers and list the highest common factor.

The factors of 463 are 1, 463

The factors of 8230 are 1, 2, 5, 10, 823, 1646, 4115, 8230

The HCF of 463,8230 is 1.

Lets's calculate GCF of 463,8230

Greatest Common Factor (GCF) of 463,8230 By Common Division

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

Greatest Common Factor of 463,8230 By Matching Biggest Common Factor Method

Greatest Common Factor of 463,8230 By Matching Biggest Common Factor Method

Now, list down the factors of 463

:

1,463

Now, list down the factors of 8230

:

1,2,5,10,823,1646,4115,8230

Greatest Common Factor

We found the factors 463,8230 . The biggest common factor number is the GCF number.
So the greatest common factor 463,8230 is 1.

Lets's calculate LCM of 596,712

Lowest Common Multiple of 596,712 using Common Division

2 596, 712
2 298, 356
149, 178

∴ So the LCM of the given numbers is 2 x 2 x 149 x 178 = 106088

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/106088

Therefore, the GCF of Fractions 463/596,8230/712 is 1/106088

Least Common Multiple of 596,712 with GCF Formula

Least Common Multiple of 596,712 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 596,712 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(596,712) = 4

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

GCF(596,712) x common factors =4 x 1 = 4

LCM(596,712) = ( 596 × 712 ) / 4

LCM(596,712) = 424352 / 4

LCM(596,712) = 106088


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FAQs on GCF of Fractions of 463/596, 8230/712

1. What is the HCF of 463,8230?

The HCF of 463,8230 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 463/596, 8230/712?

Answer: GCF of Numerators as per given numbers 463/596, 8230/712 is

GCF of Numerators i.e. for 463,8230 is 1

LCM of denominators i.e. for 596,712 is 106088.

Thus, GCF of Fractions is 1/106088.Finally, GCF of Fractions for 463/596, 8230/712 is 1/106088.