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Greatest Common Factor of 87/329, 82/310, 523/224

Get help with finding GCF of fractions 87/329, 82/310, 523/224 using GCF of Fractions Calculator to know the result 1/1631840 the largest number that divides all the numbers with a zero remainder.

Greatest common factor (GCF) of 87/329, 82/310, 523/224 is 1/1631840.

GCF(87/329, 82/310, 523/224) = 1/1631840

GCF of 87/329, 82/310, 523/224

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Given fractions are 87/329,82/310,523/224

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 87,82,523

Greatest Common Factor of Numerators i.e. GCF of 87,82,523 is 1 .

LCM of Denominators means LCM of 329,310,224 as per the given fractions.

LCM of 329,310,224 is 1631840 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 87,82,523

Greatest Common Factor (GCF) of 87,82,523 By Common Division

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

Greatest Common Factor of 87,82,523 By Matching Biggest Common Factor Method

Greatest Common Factor of 87,82,523 By Matching Biggest Common Factor Method

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 523

List of positive integer factors of 523 that divides 523 without a remainder.

1,523

Greatest Common Factor

We found the factors 87,82,523 . The biggest common factor number is the GCF number.
So the greatest common factor 87,82,523 is 1.


Lets's calculate LCM of 329,310,224

Least Common Multiple (LCM) of 329,310,224 By Common Division

2 329, 310, 224
7 329, 155, 112
47, 155, 16

∴ So the LCM of the given numbers is 2 x 7 x 47 x 155 x 16 = 1631840

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1631840

Therefore, the GCF of Fractions 87/329,82/310,523/224 is 1/1631840

Least Common Multiple of 329,310,224 with GCF Formula

Least Common Multiple of 329,310,224 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 329,310,224 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(329,310,224) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(329,310,224) x common factors =1 x 14 = 14

LCM(329,310,224) = ( 329 × 310 × 224 ) / 14

LCM(329,310,224) = 22845760 / 14

LCM(329,310,224) = 1631840


GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 87/329, 82/310, 523/224

1. 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.

2. What is the GCF of Fractions for 87/329, 82/310, 523/224?

Answer: GCF of Numerators as per given numbers 87/329, 82/310, 523/224 is

GCF of Numerators i.e. for 87,82,523 is 1

LCM of denominators i.e. for 329,310,224 is 1631840.

Thus, GCF of Fractions is 1/1631840.Finally, GCF of Fractions for 87/329, 82/310, 523/224 is 1/1631840.