How to Find GCF of 362/418, 4900/266?

GCF of 362/418, 4900/266

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 362/418, 4900/266 i.e 2/2926 easily. The following is the detailed procedure to determine the greatest common factor of fractions 362/418, 4900/266.

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 362/418,4900/266?

Given fractions are 362/418,4900/266

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 362/418,4900/266, numerators are 362,4900

Denominators are 418,266

The GCF of 362,4900 is 2 .

LCM of 418,266 is 2926.

The greatest common factor of 362/418,4900/266 = [GCF of 362,4900]/[LCM of 418,266]= 2/2926

Therefore, the GCF of 362/418,4900/266 is 2/2926.

Greatest Common Factor of 362,4900

To find the highest common factor of 362,4900, we have to find the factors of both numbers and list the highest common factor.

The factors of 362 are 1, 2, 181, 362

The factors of 4900 are 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 49, 50, 70, 98, 100, 140, 175, 196, 245, 350, 490, 700, 980, 1225, 2450, 4900

The HCF of 362,4900 is 2.

Lets's calculate GCF of 362,4900

Greatest Common Factor (GCF) of 362,4900 By Common Division

2	362, 4900
	181, 2450

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

Greatest Common Factor of 362,4900 By Matching Biggest Common Factor Method

Now, list down the factors of 362

1,2,181,362

Now, list down the factors of 4900

1,2,4,5,7,10,14,20,25,28,35,49,50,70,98,100,140,175,196,245,350,490,700,980,1225,2450,4900

Greatest Common Factor

We found the factors 362,4900 . The biggest common factor number is the GCF number.
So the greatest common factor 362,4900 is 2.

Lets's calculate LCM of 418,266

Lowest Common Multiple of 418,266 using Common Division

2	418, 266
19	209, 133
	11, 7

∴ So the LCM of the given numbers is 2 x 19 x 11 x 7 = 2926

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2926

Therefore, the GCF of Fractions 362/418,4900/266 is 2/2926

Least Common Multiple of 418,266 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 418,266 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(418,266) = 38

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

GCF(418,266) x common factors =38 x 1 = 38

LCM(418,266) = ( 418 × 266 ) / 38

LCM(418,266) = 111188 / 38

LCM(418,266) = 2926

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FAQs on GCF of Fractions of 362/418, 4900/266

1. What is the HCF of 362,4900?

The HCF of 362,4900 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 362/418, 4900/266?

Answer: GCF of Numerators as per given numbers 362/418, 4900/266 is

GCF of Numerators i.e. for 362,4900 is 2

LCM of denominators i.e. for 418,266 is 2926.

Thus, GCF of Fractions is 2/2926.Finally, GCF of Fractions for 362/418, 4900/266 is 2/2926.