How to Find GCF of 7462/604, 8018/812?

GCF of 7462/604, 8018/812

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 7462/604, 8018/812 i.e 2/122612 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7462/604, 8018/812.

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 7462/604,8018/812?

Given fractions are 7462/604,8018/812

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 7462/604,8018/812, numerators are 7462,8018

Denominators are 604,812

The GCF of 7462,8018 is 2 .

LCM of 604,812 is 122612.

The greatest common factor of 7462/604,8018/812 = [GCF of 7462,8018]/[LCM of 604,812]= 2/122612

Therefore, the GCF of 7462/604,8018/812 is 2/122612.

Greatest Common Factor of 7462,8018

To find the highest common factor of 7462,8018, we have to find the factors of both numbers and list the highest common factor.

The factors of 7462 are 1, 2, 7, 13, 14, 26, 41, 82, 91, 182, 287, 533, 574, 1066, 3731, 7462

The factors of 8018 are 1, 2, 19, 38, 211, 422, 4009, 8018

The HCF of 7462,8018 is 2.

Lets's calculate GCF of 7462,8018

Greatest Common Factor (GCF) of 7462,8018 By Common Division

2	7462, 8018
	3731, 4009

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

Greatest Common Factor of 7462,8018 By Matching Biggest Common Factor Method

Now, list down the factors of 7462

1,2,7,13,14,26,41,82,91,182,287,533,574,1066,3731,7462

Now, list down the factors of 8018

1,2,19,38,211,422,4009,8018

Greatest Common Factor

We found the factors 7462,8018 . The biggest common factor number is the GCF number.
So the greatest common factor 7462,8018 is 2.

Lets's calculate LCM of 604,812

Lowest Common Multiple of 604,812 using Common Division

2	604, 812
2	302, 406
	151, 203

∴ So the LCM of the given numbers is 2 x 2 x 151 x 203 = 122612

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/122612

Therefore, the GCF of Fractions 7462/604,8018/812 is 2/122612

Least Common Multiple of 604,812 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 604,812 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(604,812) = 4

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

GCF(604,812) x common factors =4 x 1 = 4

LCM(604,812) = ( 604 × 812 ) / 4

LCM(604,812) = 490448 / 4

LCM(604,812) = 122612

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FAQs on GCF of Fractions of 7462/604, 8018/812

1. What is the HCF of 7462,8018?

The HCF of 7462,8018 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 7462/604, 8018/812?

Answer: GCF of Numerators as per given numbers 7462/604, 8018/812 is

GCF of Numerators i.e. for 7462,8018 is 2

LCM of denominators i.e. for 604,812 is 122612.

Thus, GCF of Fractions is 2/122612.Finally, GCF of Fractions for 7462/604, 8018/812 is 2/122612.