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GCF of 484/465, 620/814

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 484/465, 620/814 i.e 4/378510 easily. The following is the detailed procedure to determine the greatest common factor of fractions 484/465, 620/814.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 484/465,620/814?

Given fractions are 484/465,620/814

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 484/465,620/814, numerators are 484,620

Denominators are 465,814

The GCF of 484,620 is 4 .

LCM of 465,814 is 378510.

The greatest common factor of 484/465,620/814 = [GCF of 484,620]/[LCM of 465,814]= 4/378510

Therefore, the GCF of 484/465,620/814 is 4/378510.

Greatest Common Factor of 484,620

To find the highest common factor of 484,620, 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 620 are 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

The HCF of 484,620 is 4.

Lets's calculate GCF of 484,620

Greatest Common Factor (GCF) of 484,620 By Common Division

2 484, 620
2 242, 310
121, 155

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 484,620 By Matching Biggest Common Factor Method

Greatest Common Factor of 484,620 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 620

:

1,2,4,5,10,20,31,62,124,155,310,620

Greatest Common Factor

We found the factors 484,620 . The biggest common factor number is the GCF number.
So the greatest common factor 484,620 is 4.

Lets's calculate LCM of 465,814

Lowest Common Multiple of 465,814 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 378510

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/378510

Therefore, the GCF of Fractions 484/465,620/814 is 4/378510

Least Common Multiple of 465,814 with GCF Formula

Least Common Multiple of 465,814 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 465,814 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(465,814) = 1

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

GCF(465,814) x common factors =1 x 1 = 1

LCM(465,814) = ( 465 × 814 ) / 1

LCM(465,814) = 378510 / 1

LCM(465,814) = 378510


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FAQs on GCF of Fractions of 484/465, 620/814

1. What is the HCF of 484,620?

The HCF of 484,620 is 4

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 484/465, 620/814?

Answer: GCF of Numerators as per given numbers 484/465, 620/814 is

GCF of Numerators i.e. for 484,620 is 4

LCM of denominators i.e. for 465,814 is 378510.

Thus, GCF of Fractions is 4/378510.Finally, GCF of Fractions for 484/465, 620/814 is 4/378510.