How to Find GCF of 98/13, 527/58, 663/624?

GCF of 98/13, 527/58, 663/624

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 98/13, 527/58, 663/624 i.e 1/18096 easily. The following is the detailed procedure to determine the greatest common factor of fractions 98/13, 527/58, 663/624.

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 98/13,527/58,663/624?

Given fractions are 98/13,527/58,663/624

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 98/13,527/58,663/624, numerators are 98,527,663

Denominators are 13,58,624

The GCF of 98,527,663 is 1 .

LCM of 13,58,624 is 18096.

The greatest common factor of 98/13,527/58,663/624 = [GCF of 98,527,663]/[LCM of 13,58,624]= 1/18096

Therefore, the GCF of 98/13,527/58,663/624 is 1/18096.

Greatest Common Factor of 98,527,663

To find the highest common factor of 98,527,663, we have to find the factors of both numbers and list the highest common factor.

The factors of 98 are 1, 2, 7, 14, 49, 98

The factors of 527 are 1, 17, 31, 527

The factors of 663 are 1, 3, 13, 17, 39, 51, 221, 663

The HCF of 98,527,663 is 1.

Lets's calculate GCF of 98,527,663

Greatest Common Factor (GCF) of 98,527,663 By Common Division

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

Greatest Common Factor of 98,527,663 By Matching Biggest Common Factor Method

Now, list down the factors of 98

1,2,7,14,49,98

Now, list down the factors of 527

1,17,31,527

Now, list down the factors of 663

1,3,13,17,39,51,221,663

Greatest Common Factor

We found the factors 98,527,663 . The biggest common factor number is the GCF number.
So the greatest common factor 98,527,663 is 1.

Lets's calculate LCM of 13,58,624

Lowest Common Multiple of 13,58,624 using Common Division

2	13, 58, 624
13	13, 29, 312
	1, 29, 24

∴ So the LCM of the given numbers is 2 x 13 x 1 x 29 x 24 = 18096

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18096

Therefore, the GCF of Fractions 98/13,527/58,663/624 is 1/18096

Least Common Multiple of 13,58,624 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 13,58,624 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,58,624) = 1

common factors(in case of two or more numbers have common factors) = 26

GCF(13,58,624) x common factors =1 x 26 = 26

LCM(13,58,624) = ( 13 × 58 × 624 ) / 26

LCM(13,58,624) = 470496 / 26

LCM(13,58,624) = 18096

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 98/13, 527/58, 663/624

1. What is the HCF of 98,527,663?

The HCF of 98,527,663 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 98/13, 527/58, 663/624?

Answer: GCF of Numerators as per given numbers 98/13, 527/58, 663/624 is

GCF of Numerators i.e. for 98,527,663 is 1

LCM of denominators i.e. for 13,58,624 is 18096.

Thus, GCF of Fractions is 1/18096.Finally, GCF of Fractions for 98/13, 527/58, 663/624 is 1/18096.