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GCF of 720/27, 534/112

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 720/27, 534/112 i.e 6/3024 easily. The following is the detailed procedure to determine the greatest common factor of fractions 720/27, 534/112.

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 720/27,534/112?

Given fractions are 720/27,534/112

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 720/27,534/112, numerators are 720,534

Denominators are 27,112

The GCF of 720,534 is 6 .

LCM of 27,112 is 3024.

The greatest common factor of 720/27,534/112 = [GCF of 720,534]/[LCM of 27,112]= 6/3024

Therefore, the GCF of 720/27,534/112 is 6/3024.

Greatest Common Factor of 720,534

To find the highest common factor of 720,534, we have to find the factors of both numbers and list the highest common factor.

The factors of 720 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

The factors of 534 are 1, 2, 3, 6, 89, 178, 267, 534

The HCF of 720,534 is 6.

Lets's calculate GCF of 720,534

Greatest Common Factor (GCF) of 720,534 By Common Division

2 720, 534
3 360, 267
120, 89

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 720,534 By Matching Biggest Common Factor Method

Greatest Common Factor of 720,534 By Matching Biggest Common Factor Method

Now, list down the factors of 720

:

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720

Now, list down the factors of 534

:

1,2,3,6,89,178,267,534

Greatest Common Factor

We found the factors 720,534 . The biggest common factor number is the GCF number.
So the greatest common factor 720,534 is 6.


Lets's calculate LCM of 27,112

Lowest Common Multiple of 27,112 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3024

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/3024

Therefore, the GCF of Fractions 720/27,534/112 is 6/3024

Least Common Multiple of 27,112 with GCF Formula

Least Common Multiple of 27,112 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 27,112 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,112) = 1

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

GCF(27,112) x common factors =1 x 1 = 1

LCM(27,112) = ( 27 × 112 ) / 1

LCM(27,112) = 3024 / 1

LCM(27,112) = 3024


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 720/27, 534/112

1. What is the HCF of 720,534?

The HCF of 720,534 is 6

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 720/27, 534/112?

Answer: GCF of Numerators as per given numbers 720/27, 534/112 is

GCF of Numerators i.e. for 720,534 is 6

LCM of denominators i.e. for 27,112 is 3024.

Thus, GCF of Fractions is 6/3024.Finally, GCF of Fractions for 720/27, 534/112 is 6/3024.