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GCF of 532/120, 562/549

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 532/120, 562/549 i.e 2/21960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 532/120, 562/549.

Enter two or more fractions separated by "commas"

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

GCF of:

What is the GCF of 532/120,562/549?

Given fractions are 532/120,562/549

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 532/120,562/549, numerators are 532,562

Denominators are 120,549

The GCF of 532,562 is 2 .

LCM of 120,549 is 21960.

The greatest common factor of 532/120,562/549 = [GCF of 532,562]/[LCM of 120,549]= 2/21960

Therefore, the GCF of 532/120,562/549 is 2/21960.

Greatest Common Factor of 532,562

To find the highest common factor of 532,562, 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 562 are 1, 2, 281, 562

The HCF of 532,562 is 2.

Lets's calculate GCF of 532,562

Greatest Common Factor (GCF) of 532,562 By Common Division

2 532, 562
266, 281

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

Greatest Common Factor of 532,562 By Matching Biggest Common Factor Method

Greatest Common Factor of 532,562 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 562

:

1,2,281,562

Greatest Common Factor

We found the factors 532,562 . The biggest common factor number is the GCF number.
So the greatest common factor 532,562 is 2.


Lets's calculate LCM of 120,549

Lowest Common Multiple of 120,549 using Common Division

3 120, 549
40, 183

∴ So the LCM of the given numbers is 3 x 40 x 183 = 21960

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/21960

Therefore, the GCF of Fractions 532/120,562/549 is 2/21960

Least Common Multiple of 120,549 with GCF Formula

Least Common Multiple of 120,549 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 120,549 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(120,549) = 3

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

GCF(120,549) x common factors =3 x 1 = 3

LCM(120,549) = ( 120 × 549 ) / 3

LCM(120,549) = 65880 / 3

LCM(120,549) = 21960


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 532/120, 562/549

1. What is the HCF of 532,562?

The HCF of 532,562 is 2

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 532/120, 562/549?

Answer: GCF of Numerators as per given numbers 532/120, 562/549 is

GCF of Numerators i.e. for 532,562 is 2

LCM of denominators i.e. for 120,549 is 21960.

Thus, GCF of Fractions is 2/21960.Finally, GCF of Fractions for 532/120, 562/549 is 2/21960.