How to Find GCF of 204/528, 360/850?

GCF of 204/528, 360/850

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 204/528, 360/850 i.e 12/224400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 204/528, 360/850.

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 204/528,360/850?

Given fractions are 204/528,360/850

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 204/528,360/850, numerators are 204,360

Denominators are 528,850

The GCF of 204,360 is 12 .

LCM of 528,850 is 224400.

The greatest common factor of 204/528,360/850 = [GCF of 204,360]/[LCM of 528,850]= 12/224400

Therefore, the GCF of 204/528,360/850 is 12/224400.

Greatest Common Factor of 204,360

To find the highest common factor of 204,360, we have to find the factors of both numbers and list the highest common factor.

The factors of 204 are 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

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

The HCF of 204,360 is 12.

Lets's calculate GCF of 204,360

Greatest Common Factor (GCF) of 204,360 By Common Division

2	204, 360
2	102, 180
3	51, 90
	17, 30

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 204,360 By Matching Biggest Common Factor Method

Now, list down the factors of 204

1,2,3,4,6,12,17,34,51,68,102,204

Now, list down the factors of 360

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

Greatest Common Factor

We found the factors 204,360 . The biggest common factor number is the GCF number.
So the greatest common factor 204,360 is 12.

Lets's calculate LCM of 528,850

Lowest Common Multiple of 528,850 using Common Division

2	528, 850
	264, 425

∴ So the LCM of the given numbers is 2 x 264 x 425 = 224400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/224400

Therefore, the GCF of Fractions 204/528,360/850 is 12/224400

Least Common Multiple of 528,850 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 528,850 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(528,850) = 2

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

GCF(528,850) x common factors =2 x 1 = 2

LCM(528,850) = ( 528 × 850 ) / 2

LCM(528,850) = 448800 / 2

LCM(528,850) = 224400

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FAQs on GCF of Fractions of 204/528, 360/850

1. What is the HCF of 204,360?

The HCF of 204,360 is 12

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 204/528, 360/850?

Answer: GCF of Numerators as per given numbers 204/528, 360/850 is

GCF of Numerators i.e. for 204,360 is 12

LCM of denominators i.e. for 528,850 is 224400.

Thus, GCF of Fractions is 12/224400.Finally, GCF of Fractions for 204/528, 360/850 is 12/224400.