How to Find GCF of 984/523, 344/587?

GCF of 984/523, 344/587

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 984/523, 344/587 i.e 8/307001 easily. The following is the detailed procedure to determine the greatest common factor of fractions 984/523, 344/587.

Enter two or more fractions separated by "commas"

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

What is the GCF of 984/523,344/587?

Given fractions are 984/523,344/587

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 984/523,344/587, numerators are 984,344

Denominators are 523,587

The GCF of 984,344 is 8 .

LCM of 523,587 is 307001.

The greatest common factor of 984/523,344/587 = [GCF of 984,344]/[LCM of 523,587]= 8/307001

Therefore, the GCF of 984/523,344/587 is 8/307001.

Greatest Common Factor of 984,344

To find the highest common factor of 984,344, we have to find the factors of both numbers and list the highest common factor.

The factors of 984 are 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

The factors of 344 are 1, 2, 4, 8, 43, 86, 172, 344

The HCF of 984,344 is 8.

Lets's calculate GCF of 984,344

Greatest Common Factor (GCF) of 984,344 By Common Division

2	984, 344
2	492, 172
2	246, 86
	123, 43

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 984,344 By Matching Biggest Common Factor Method

Now, list down the factors of 984

1,2,3,4,6,8,12,24,41,82,123,164,246,328,492,984

Now, list down the factors of 344

1,2,4,8,43,86,172,344

Greatest Common Factor

We found the factors 984,344 . The biggest common factor number is the GCF number.
So the greatest common factor 984,344 is 8.

Lets's calculate LCM of 523,587

Lowest Common Multiple of 523,587 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 307001

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/307001

Therefore, the GCF of Fractions 984/523,344/587 is 8/307001

Least Common Multiple of 523,587 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 523,587 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(523,587) = 1

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

GCF(523,587) x common factors =1 x 1 = 1

LCM(523,587) = ( 523 × 587 ) / 1

LCM(523,587) = 307001 / 1

LCM(523,587) = 307001

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FAQs on GCF of Fractions of 984/523, 344/587

1. What is the HCF of 984,344?

The HCF of 984,344 is 8

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 984/523, 344/587?

Answer: GCF of Numerators as per given numbers 984/523, 344/587 is

GCF of Numerators i.e. for 984,344 is 8

LCM of denominators i.e. for 523,587 is 307001.

Thus, GCF of Fractions is 8/307001.Finally, GCF of Fractions for 984/523, 344/587 is 8/307001.