How to Find GCF of 529/984, 424/520?

GCF of 529/984, 424/520

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 529/984, 424/520 i.e 1/63960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 529/984, 424/520.

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 529/984,424/520?

Given fractions are 529/984,424/520

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 529/984,424/520, numerators are 529,424

Denominators are 984,520

The GCF of 529,424 is 1 .

LCM of 984,520 is 63960.

The greatest common factor of 529/984,424/520 = [GCF of 529,424]/[LCM of 984,520]= 1/63960

Therefore, the GCF of 529/984,424/520 is 1/63960.

Greatest Common Factor of 529,424

To find the highest common factor of 529,424, we have to find the factors of both numbers and list the highest common factor.

The factors of 529 are 1, 23, 529

The factors of 424 are 1, 2, 4, 8, 53, 106, 212, 424

The HCF of 529,424 is 1.

Lets's calculate GCF of 529,424

Greatest Common Factor (GCF) of 529,424 By Common Division

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

Greatest Common Factor of 529,424 By Matching Biggest Common Factor Method

Now, list down the factors of 529

1,23,529

Now, list down the factors of 424

1,2,4,8,53,106,212,424

Greatest Common Factor

We found the factors 529,424 . The biggest common factor number is the GCF number.
So the greatest common factor 529,424 is 1.

Lets's calculate LCM of 984,520

Lowest Common Multiple of 984,520 using Common Division

2	984, 520
2	492, 260
2	246, 130
	123, 65

∴ So the LCM of the given numbers is 2 x 2 x 2 x 123 x 65 = 63960

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/63960

Therefore, the GCF of Fractions 529/984,424/520 is 1/63960

Least Common Multiple of 984,520 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 984,520 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(984,520) = 8

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

GCF(984,520) x common factors =8 x 1 = 8

LCM(984,520) = ( 984 × 520 ) / 8

LCM(984,520) = 511680 / 8

LCM(984,520) = 63960

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 529/984, 424/520

1. What is the HCF of 529,424?

The HCF of 529,424 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 529/984, 424/520?

Answer: GCF of Numerators as per given numbers 529/984, 424/520 is

GCF of Numerators i.e. for 529,424 is 1

LCM of denominators i.e. for 984,520 is 63960.

Thus, GCF of Fractions is 1/63960.Finally, GCF of Fractions for 529/984, 424/520 is 1/63960.