GCF of 2122/348, 4566/9369
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2122/348, 4566/9369 i.e 2/1086804 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2122/348, 4566/9369.
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 2122/348,4566/9369?
Given fractions are 2122/348,4566/9369
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 2122/348,4566/9369, numerators are 2122,4566
Denominators are 348,9369
The GCF of 2122,4566 is 2 .
LCM of 348,9369 is 1086804.
The greatest common factor of 2122/348,4566/9369 = [GCF of 2122,4566]/[LCM of 348,9369]= 2/1086804
Therefore, the GCF of 2122/348,4566/9369 is 2/1086804.
To find the highest common factor of 2122,4566, we have to find the factors of both numbers and list the highest common factor.
The factors of 2122 are 1, 2, 1061, 2122
The factors of 4566 are 1, 2, 3, 6, 761, 1522, 2283, 4566
The HCF of 2122,4566 is 2.
Lets's calculate GCF of 2122,4566
| 2 | 2122, 4566 |
| 1061, 2283 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2122,4566 By Matching Biggest Common Factor Method
Now, list down the factors of 2122
:1,2,1061,2122
Now, list down the factors of 4566
:1,2,3,6,761,1522,2283,4566
Greatest Common Factor
We found the factors 2122,4566 . The biggest common factor number is the GCF number.
So the greatest common factor 2122,4566 is 2.
Lets's calculate LCM of 348,9369
| 3 | 348, 9369 |
| 116, 3123 |
∴ So the LCM of the given numbers is 3 x 116 x 3123 = 1086804
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1086804
Therefore, the GCF of Fractions 2122/348,4566/9369 is 2/1086804
Least Common Multiple of 348,9369 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 348,9369 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(348,9369) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(348,9369) x common factors =3 x 1 = 3
LCM(348,9369) = ( 348 × 9369 ) / 3
LCM(348,9369) = 3260412 / 3
LCM(348,9369) = 1086804
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FAQs on GCF of Fractions of 2122/348, 4566/9369
1. What is the HCF of 2122,4566?
The HCF of 2122,4566 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 2122/348, 4566/9369?
Answer: GCF of Numerators as per given numbers 2122/348, 4566/9369 is
GCF of Numerators i.e. for 2122,4566 is 2
LCM of denominators i.e. for 348,9369 is 1086804.
Thus, GCF of Fractions is 2/1086804.Finally, GCF of Fractions for 2122/348, 4566/9369 is 2/1086804.