How to Find GCF of 532/167, 9898/590?

GCF of 532/167, 9898/590

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 532/167, 9898/590 i.e 14/98530 easily. The following is the detailed procedure to determine the greatest common factor of fractions 532/167, 9898/590.

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 532/167,9898/590?

Given fractions are 532/167,9898/590

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 532/167,9898/590, numerators are 532,9898

Denominators are 167,590

The GCF of 532,9898 is 14 .

LCM of 167,590 is 98530.

The greatest common factor of 532/167,9898/590 = [GCF of 532,9898]/[LCM of 167,590]= 14/98530

Therefore, the GCF of 532/167,9898/590 is 14/98530.

Greatest Common Factor of 532,9898

To find the highest common factor of 532,9898, we have to find the factors of both numbers and list the highest common factor.

The factors of 532 are 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

The factors of 9898 are 1, 2, 7, 14, 49, 98, 101, 202, 707, 1414, 4949, 9898

The HCF of 532,9898 is 14.

Lets's calculate GCF of 532,9898

Greatest Common Factor (GCF) of 532,9898 By Common Division

2	532, 9898
7	266, 4949
	38, 707

∴ So the GCF of the given numbers is 2 x 7 = 14

Greatest Common Factor of 532,9898 By Matching Biggest Common Factor Method

Now, list down the factors of 532

1,2,4,7,14,19,28,38,76,133,266,532

Now, list down the factors of 9898

1,2,7,14,49,98,101,202,707,1414,4949,9898

Greatest Common Factor

We found the factors 532,9898 . The biggest common factor number is the GCF number.
So the greatest common factor 532,9898 is 14.

Lets's calculate LCM of 167,590

Lowest Common Multiple of 167,590 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 98530

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/98530

Therefore, the GCF of Fractions 532/167,9898/590 is 14/98530

Least Common Multiple of 167,590 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 167,590 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(167,590) = 1

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

GCF(167,590) x common factors =1 x 1 = 1

LCM(167,590) = ( 167 × 590 ) / 1

LCM(167,590) = 98530 / 1

LCM(167,590) = 98530

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FAQs on GCF of Fractions of 532/167, 9898/590

1. What is the HCF of 532,9898?

The HCF of 532,9898 is 14

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 532/167, 9898/590?

Answer: GCF of Numerators as per given numbers 532/167, 9898/590 is

GCF of Numerators i.e. for 532,9898 is 14

LCM of denominators i.e. for 167,590 is 98530.

Thus, GCF of Fractions is 14/98530.Finally, GCF of Fractions for 532/167, 9898/590 is 14/98530.