How to Find GCF of 221/112, 1363/9836?

GCF of 221/112, 1363/9836

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 221/112, 1363/9836 i.e 1/275408 easily. The following is the detailed procedure to determine the greatest common factor of fractions 221/112, 1363/9836.

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 221/112,1363/9836?

Given fractions are 221/112,1363/9836

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 221/112,1363/9836, numerators are 221,1363

Denominators are 112,9836

The GCF of 221,1363 is 1 .

LCM of 112,9836 is 275408.

The greatest common factor of 221/112,1363/9836 = [GCF of 221,1363]/[LCM of 112,9836]= 1/275408

Therefore, the GCF of 221/112,1363/9836 is 1/275408.

Greatest Common Factor of 221,1363

To find the highest common factor of 221,1363, we have to find the factors of both numbers and list the highest common factor.

The factors of 221 are 1, 13, 17, 221

The factors of 1363 are 1, 29, 47, 1363

The HCF of 221,1363 is 1.

Lets's calculate GCF of 221,1363

Greatest Common Factor (GCF) of 221,1363 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 221,1363 By Matching Biggest Common Factor Method

Now, list down the factors of 221

1,13,17,221

Now, list down the factors of 1363

1,29,47,1363

Greatest Common Factor

We found the factors 221,1363 . The biggest common factor number is the GCF number.
So the greatest common factor 221,1363 is 1.

Lets's calculate LCM of 112,9836

Lowest Common Multiple of 112,9836 using Common Division

2	112, 9836
2	56, 4918
	28, 2459

∴ So the LCM of the given numbers is 2 x 2 x 28 x 2459 = 275408

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/275408

Therefore, the GCF of Fractions 221/112,1363/9836 is 1/275408

Least Common Multiple of 112,9836 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 112,9836 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(112,9836) = 4

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

GCF(112,9836) x common factors =4 x 1 = 4

LCM(112,9836) = ( 112 × 9836 ) / 4

LCM(112,9836) = 1101632 / 4

LCM(112,9836) = 275408

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FAQs on GCF of Fractions of 221/112, 1363/9836

1. What is the HCF of 221,1363?

The HCF of 221,1363 is 1

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 221/112, 1363/9836?

Answer: GCF of Numerators as per given numbers 221/112, 1363/9836 is

GCF of Numerators i.e. for 221,1363 is 1

LCM of denominators i.e. for 112,9836 is 275408.

Thus, GCF of Fractions is 1/275408.Finally, GCF of Fractions for 221/112, 1363/9836 is 1/275408.