How to Find GCF of 2192/436, 8216/225?

GCF of 2192/436, 8216/225

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 2192/436, 8216/225 i.e 8/98100 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2192/436, 8216/225.

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 2192/436,8216/225?

Given fractions are 2192/436,8216/225

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 2192/436,8216/225, numerators are 2192,8216

Denominators are 436,225

The GCF of 2192,8216 is 8 .

LCM of 436,225 is 98100.

The greatest common factor of 2192/436,8216/225 = [GCF of 2192,8216]/[LCM of 436,225]= 8/98100

Therefore, the GCF of 2192/436,8216/225 is 8/98100.

Greatest Common Factor of 2192,8216

To find the highest common factor of 2192,8216, we have to find the factors of both numbers and list the highest common factor.

The factors of 2192 are 1, 2, 4, 8, 16, 137, 274, 548, 1096, 2192

The factors of 8216 are 1, 2, 4, 8, 13, 26, 52, 79, 104, 158, 316, 632, 1027, 2054, 4108, 8216

The HCF of 2192,8216 is 8.

Lets's calculate GCF of 2192,8216

Greatest Common Factor (GCF) of 2192,8216 By Common Division

2	2192, 8216
2	1096, 4108
2	548, 2054
	274, 1027

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 2192,8216 By Matching Biggest Common Factor Method

Now, list down the factors of 2192

1,2,4,8,16,137,274,548,1096,2192

Now, list down the factors of 8216

1,2,4,8,13,26,52,79,104,158,316,632,1027,2054,4108,8216

Greatest Common Factor

We found the factors 2192,8216 . The biggest common factor number is the GCF number.
So the greatest common factor 2192,8216 is 8.

Lets's calculate LCM of 436,225

Lowest Common Multiple of 436,225 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 98100

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/98100

Therefore, the GCF of Fractions 2192/436,8216/225 is 8/98100

Least Common Multiple of 436,225 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 436,225 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(436,225) = 1

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

GCF(436,225) x common factors =1 x 1 = 1

LCM(436,225) = ( 436 × 225 ) / 1

LCM(436,225) = 98100 / 1

LCM(436,225) = 98100

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FAQs on GCF of Fractions of 2192/436, 8216/225

1. What is the HCF of 2192,8216?

The HCF of 2192,8216 is 8

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 2192/436, 8216/225?

Answer: GCF of Numerators as per given numbers 2192/436, 8216/225 is

GCF of Numerators i.e. for 2192,8216 is 8

LCM of denominators i.e. for 436,225 is 98100.

Thus, GCF of Fractions is 8/98100.Finally, GCF of Fractions for 2192/436, 8216/225 is 8/98100.