How to Find GCF of 22/636, 298/291, 238/490?

GCF of 22/636, 298/291, 238/490

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 22/636, 298/291, 238/490 i.e 2/15114540 easily. The following is the detailed procedure to determine the greatest common factor of fractions 22/636, 298/291, 238/490.

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 22/636,298/291,238/490?

Given fractions are 22/636,298/291,238/490

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 22/636,298/291,238/490, numerators are 22,298,238

Denominators are 636,291,490

The GCF of 22,298,238 is 2 .

LCM of 636,291,490 is 15114540.

The greatest common factor of 22/636,298/291,238/490 = [GCF of 22,298,238]/[LCM of 636,291,490]= 2/15114540

Therefore, the GCF of 22/636,298/291,238/490 is 2/15114540.

Greatest Common Factor of 22,298,238

To find the highest common factor of 22,298,238, we have to find the factors of both numbers and list the highest common factor.

The factors of 22 are 1, 2, 11, 22

The factors of 298 are 1, 2, 149, 298

The factors of 238 are 1, 2, 7, 14, 17, 34, 119, 238

The HCF of 22,298,238 is 2.

Lets's calculate GCF of 22,298,238

Greatest Common Factor (GCF) of 22,298,238 By Common Division

2	22, 298, 238
	11, 149, 119

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

Greatest Common Factor of 22,298,238 By Matching Biggest Common Factor Method

Now, list down the factors of 22

1,2,11,22

Now, list down the factors of 298

1,2,149,298

Now, list down the factors of 238

1,2,7,14,17,34,119,238

Greatest Common Factor

We found the factors 22,298,238 . The biggest common factor number is the GCF number.
So the greatest common factor 22,298,238 is 2.

Lets's calculate LCM of 636,291,490

Lowest Common Multiple of 636,291,490 using Common Division

2	636, 291, 490
3	318, 291, 245
	106, 97, 245

∴ So the LCM of the given numbers is 2 x 3 x 106 x 97 x 245 = 15114540

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/15114540

Therefore, the GCF of Fractions 22/636,298/291,238/490 is 2/15114540

Least Common Multiple of 636,291,490 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 636,291,490 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(636,291,490) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(636,291,490) x common factors =1 x 6 = 6

LCM(636,291,490) = ( 636 × 291 × 490 ) / 6

LCM(636,291,490) = 90687240 / 6

LCM(636,291,490) = 15114540

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 22/636, 298/291, 238/490

1. What is the HCF of 22,298,238?

The HCF of 22,298,238 is 2

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 22/636, 298/291, 238/490?

Answer: GCF of Numerators as per given numbers 22/636, 298/291, 238/490 is

GCF of Numerators i.e. for 22,298,238 is 2

LCM of denominators i.e. for 636,291,490 is 15114540.

Thus, GCF of Fractions is 2/15114540.Finally, GCF of Fractions for 22/636, 298/291, 238/490 is 2/15114540.