How to Find GCF of 484/601, 814/212?

GCF of 484/601, 814/212

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 484/601, 814/212 i.e 22/127412 easily. The following is the detailed procedure to determine the greatest common factor of fractions 484/601, 814/212.

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 484/601,814/212?

Given fractions are 484/601,814/212

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 484/601,814/212, numerators are 484,814

Denominators are 601,212

The GCF of 484,814 is 22 .

LCM of 601,212 is 127412.

The greatest common factor of 484/601,814/212 = [GCF of 484,814]/[LCM of 601,212]= 22/127412

Therefore, the GCF of 484/601,814/212 is 22/127412.

Greatest Common Factor of 484,814

To find the highest common factor of 484,814, we have to find the factors of both numbers and list the highest common factor.

The factors of 484 are 1, 2, 4, 11, 22, 44, 121, 242, 484

The factors of 814 are 1, 2, 11, 22, 37, 74, 407, 814

The HCF of 484,814 is 22.

Lets's calculate GCF of 484,814

Greatest Common Factor (GCF) of 484,814 By Common Division

2	484, 814
11	242, 407
	22, 37

∴ So the GCF of the given numbers is 2 x 11 = 22

Greatest Common Factor of 484,814 By Matching Biggest Common Factor Method

Now, list down the factors of 484

1,2,4,11,22,44,121,242,484

Now, list down the factors of 814

1,2,11,22,37,74,407,814

Greatest Common Factor

We found the factors 484,814 . The biggest common factor number is the GCF number.
So the greatest common factor 484,814 is 22.

Lets's calculate LCM of 601,212

Lowest Common Multiple of 601,212 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 127412

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/127412

Therefore, the GCF of Fractions 484/601,814/212 is 22/127412

Least Common Multiple of 601,212 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 601,212 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(601,212) = 1

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

GCF(601,212) x common factors =1 x 1 = 1

LCM(601,212) = ( 601 × 212 ) / 1

LCM(601,212) = 127412 / 1

LCM(601,212) = 127412

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FAQs on GCF of Fractions of 484/601, 814/212

1. What is the HCF of 484,814?

The HCF of 484,814 is 22

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 484/601, 814/212?

Answer: GCF of Numerators as per given numbers 484/601, 814/212 is

GCF of Numerators i.e. for 484,814 is 22

LCM of denominators i.e. for 601,212 is 127412.

Thus, GCF of Fractions is 22/127412.Finally, GCF of Fractions for 484/601, 814/212 is 22/127412.