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GCF of 600/224, 267/538

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 600/224, 267/538 i.e 3/60256 easily. The following is the detailed procedure to determine the greatest common factor of fractions 600/224, 267/538.

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 600/224,267/538?

Given fractions are 600/224,267/538

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 600/224,267/538, numerators are 600,267

Denominators are 224,538

The GCF of 600,267 is 3 .

LCM of 224,538 is 60256.

The greatest common factor of 600/224,267/538 = [GCF of 600,267]/[LCM of 224,538]= 3/60256

Therefore, the GCF of 600/224,267/538 is 3/60256.

Greatest Common Factor of 600,267

To find the highest common factor of 600,267, we have to find the factors of both numbers and list the highest common factor.

The factors of 600 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

The factors of 267 are 1, 3, 89, 267

The HCF of 600,267 is 3.

Lets's calculate GCF of 600,267

Greatest Common Factor (GCF) of 600,267 By Common Division

3 600, 267
200, 89

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 600,267 By Matching Biggest Common Factor Method

Greatest Common Factor of 600,267 By Matching Biggest Common Factor Method

Now, list down the factors of 600

:

1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,150,200,300,600

Now, list down the factors of 267

:

1,3,89,267

Greatest Common Factor

We found the factors 600,267 . The biggest common factor number is the GCF number.
So the greatest common factor 600,267 is 3.


Lets's calculate LCM of 224,538

Lowest Common Multiple of 224,538 using Common Division

2 224, 538
112, 269

∴ So the LCM of the given numbers is 2 x 112 x 269 = 60256

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/60256

Therefore, the GCF of Fractions 600/224,267/538 is 3/60256

Least Common Multiple of 224,538 with GCF Formula

Least Common Multiple of 224,538 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 224,538 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(224,538) = 2

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

GCF(224,538) x common factors =2 x 1 = 2

LCM(224,538) = ( 224 × 538 ) / 2

LCM(224,538) = 120512 / 2

LCM(224,538) = 60256


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 600/224, 267/538

1. What is the HCF of 600,267?

The HCF of 600,267 is 3

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 600/224, 267/538?

Answer: GCF of Numerators as per given numbers 600/224, 267/538 is

GCF of Numerators i.e. for 600,267 is 3

LCM of denominators i.e. for 224,538 is 60256.

Thus, GCF of Fractions is 3/60256.Finally, GCF of Fractions for 600/224, 267/538 is 3/60256.