GCF of 4367/454, 2742/6215
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4367/454, 2742/6215 i.e 1/2821610 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4367/454, 2742/6215.
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 4367/454,2742/6215?
Given fractions are 4367/454,2742/6215
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 4367/454,2742/6215, numerators are 4367,2742
Denominators are 454,6215
The GCF of 4367,2742 is 1 .
LCM of 454,6215 is 2821610.
The greatest common factor of 4367/454,2742/6215 = [GCF of 4367,2742]/[LCM of 454,6215]= 1/2821610
Therefore, the GCF of 4367/454,2742/6215 is 1/2821610.
To find the highest common factor of 4367,2742, we have to find the factors of both numbers and list the highest common factor.
The factors of 4367 are 1, 11, 397, 4367
The factors of 2742 are 1, 2, 3, 6, 457, 914, 1371, 2742
The HCF of 4367,2742 is 1.
Lets's calculate GCF of 4367,2742
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4367,2742 By Matching Biggest Common Factor Method
Now, list down the factors of 4367
:1,11,397,4367
Now, list down the factors of 2742
:1,2,3,6,457,914,1371,2742
Greatest Common Factor
We found the factors 4367,2742 . The biggest common factor number is the GCF number.
So the greatest common factor 4367,2742 is 1.
Lets's calculate LCM of 454,6215
Given numbers has no common factors except 1. So, there LCM is their product i.e 2821610
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2821610
Therefore, the GCF of Fractions 4367/454,2742/6215 is 1/2821610
Least Common Multiple of 454,6215 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 454,6215 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(454,6215) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(454,6215) x common factors =1 x 1 = 1
LCM(454,6215) = ( 454 × 6215 ) / 1
LCM(454,6215) = 2821610 / 1
LCM(454,6215) = 2821610
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FAQs on GCF of Fractions of 4367/454, 2742/6215
1. What is the HCF of 4367,2742?
The HCF of 4367,2742 is 1
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 4367/454, 2742/6215?
Answer: GCF of Numerators as per given numbers 4367/454, 2742/6215 is
GCF of Numerators i.e. for 4367,2742 is 1
LCM of denominators i.e. for 454,6215 is 2821610.
Thus, GCF of Fractions is 1/2821610.Finally, GCF of Fractions for 4367/454, 2742/6215 is 1/2821610.