How to Find GCF of 3022/73, 4872/454?

GCF of 3022/73, 4872/454

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 3022/73, 4872/454 i.e 2/33142 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3022/73, 4872/454.

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 3022/73,4872/454?

Given fractions are 3022/73,4872/454

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 3022/73,4872/454, numerators are 3022,4872

Denominators are 73,454

The GCF of 3022,4872 is 2 .

LCM of 73,454 is 33142.

The greatest common factor of 3022/73,4872/454 = [GCF of 3022,4872]/[LCM of 73,454]= 2/33142

Therefore, the GCF of 3022/73,4872/454 is 2/33142.

Greatest Common Factor of 3022,4872

To find the highest common factor of 3022,4872, we have to find the factors of both numbers and list the highest common factor.

The factors of 3022 are 1, 2, 1511, 3022

The factors of 4872 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 29, 42, 56, 58, 84, 87, 116, 168, 174, 203, 232, 348, 406, 609, 696, 812, 1218, 1624, 2436, 4872

The HCF of 3022,4872 is 2.

Lets's calculate GCF of 3022,4872

Greatest Common Factor (GCF) of 3022,4872 By Common Division

2	3022, 4872
	1511, 2436

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

Greatest Common Factor of 3022,4872 By Matching Biggest Common Factor Method

Now, list down the factors of 3022

1,2,1511,3022

Now, list down the factors of 4872

1,2,3,4,6,7,8,12,14,21,24,28,29,42,56,58,84,87,116,168,174,203,232,348,406,609,696,812,1218,1624,2436,4872

Greatest Common Factor

We found the factors 3022,4872 . The biggest common factor number is the GCF number.
So the greatest common factor 3022,4872 is 2.

Lets's calculate LCM of 73,454

Lowest Common Multiple of 73,454 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 33142

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/33142

Therefore, the GCF of Fractions 3022/73,4872/454 is 2/33142

Least Common Multiple of 73,454 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 73,454 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,454) = 1

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

GCF(73,454) x common factors =1 x 1 = 1

LCM(73,454) = ( 73 × 454 ) / 1

LCM(73,454) = 33142 / 1

LCM(73,454) = 33142

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FAQs on GCF of Fractions of 3022/73, 4872/454

1. What is the HCF of 3022,4872?

The HCF of 3022,4872 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 3022/73, 4872/454?

Answer: GCF of Numerators as per given numbers 3022/73, 4872/454 is

GCF of Numerators i.e. for 3022,4872 is 2

LCM of denominators i.e. for 73,454 is 33142.

Thus, GCF of Fractions is 2/33142.Finally, GCF of Fractions for 3022/73, 4872/454 is 2/33142.