GCF of 5218/454, 4163/6712
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5218/454, 4163/6712 i.e 1/1523624 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5218/454, 4163/6712.
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 5218/454,4163/6712?
Given fractions are 5218/454,4163/6712
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 5218/454,4163/6712, numerators are 5218,4163
Denominators are 454,6712
The GCF of 5218,4163 is 1 .
LCM of 454,6712 is 1523624.
The greatest common factor of 5218/454,4163/6712 = [GCF of 5218,4163]/[LCM of 454,6712]= 1/1523624
Therefore, the GCF of 5218/454,4163/6712 is 1/1523624.
To find the highest common factor of 5218,4163, we have to find the factors of both numbers and list the highest common factor.
The factors of 5218 are 1, 2, 2609, 5218
The factors of 4163 are 1, 23, 181, 4163
The HCF of 5218,4163 is 1.
Lets's calculate GCF of 5218,4163
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5218,4163 By Matching Biggest Common Factor Method
Now, list down the factors of 5218
:1,2,2609,5218
Now, list down the factors of 4163
:1,23,181,4163
Greatest Common Factor
We found the factors 5218,4163 . The biggest common factor number is the GCF number.
So the greatest common factor 5218,4163 is 1.
Lets's calculate LCM of 454,6712
| 2 | 454, 6712 |
| 227, 3356 |
∴ So the LCM of the given numbers is 2 x 227 x 3356 = 1523624
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1523624
Therefore, the GCF of Fractions 5218/454,4163/6712 is 1/1523624
Least Common Multiple of 454,6712 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 454,6712 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(454,6712) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(454,6712) x common factors =2 x 1 = 2
LCM(454,6712) = ( 454 × 6712 ) / 2
LCM(454,6712) = 3047248 / 2
LCM(454,6712) = 1523624
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FAQs on GCF of Fractions of 5218/454, 4163/6712
1. What is the HCF of 5218,4163?
The HCF of 5218,4163 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 5218/454, 4163/6712?
Answer: GCF of Numerators as per given numbers 5218/454, 4163/6712 is
GCF of Numerators i.e. for 5218,4163 is 1
LCM of denominators i.e. for 454,6712 is 1523624.
Thus, GCF of Fractions is 1/1523624.Finally, GCF of Fractions for 5218/454, 4163/6712 is 1/1523624.