GCF of 1579/722, 4612/5438
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1579/722, 4612/5438 i.e 1/1963118 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1579/722, 4612/5438.
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 1579/722,4612/5438?
Given fractions are 1579/722,4612/5438
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 1579/722,4612/5438, numerators are 1579,4612
Denominators are 722,5438
The GCF of 1579,4612 is 1 .
LCM of 722,5438 is 1963118.
The greatest common factor of 1579/722,4612/5438 = [GCF of 1579,4612]/[LCM of 722,5438]= 1/1963118
Therefore, the GCF of 1579/722,4612/5438 is 1/1963118.
To find the highest common factor of 1579,4612, we have to find the factors of both numbers and list the highest common factor.
The factors of 1579 are 1, 1579
The factors of 4612 are 1, 2, 4, 1153, 2306, 4612
The HCF of 1579,4612 is 1.
Lets's calculate GCF of 1579,4612
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1579,4612 By Matching Biggest Common Factor Method
Now, list down the factors of 1579
:1,1579
Now, list down the factors of 4612
:1,2,4,1153,2306,4612
Greatest Common Factor
We found the factors 1579,4612 . The biggest common factor number is the GCF number.
So the greatest common factor 1579,4612 is 1.
Lets's calculate LCM of 722,5438
| 2 | 722, 5438 |
| 361, 2719 |
∴ So the LCM of the given numbers is 2 x 361 x 2719 = 1963118
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1963118
Therefore, the GCF of Fractions 1579/722,4612/5438 is 1/1963118
Least Common Multiple of 722,5438 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 722,5438 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(722,5438) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(722,5438) x common factors =2 x 1 = 2
LCM(722,5438) = ( 722 × 5438 ) / 2
LCM(722,5438) = 3926236 / 2
LCM(722,5438) = 1963118
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FAQs on GCF of Fractions of 1579/722, 4612/5438
1. What is the HCF of 1579,4612?
The HCF of 1579,4612 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 1579/722, 4612/5438?
Answer: GCF of Numerators as per given numbers 1579/722, 4612/5438 is
GCF of Numerators i.e. for 1579,4612 is 1
LCM of denominators i.e. for 722,5438 is 1963118.
Thus, GCF of Fractions is 1/1963118.Finally, GCF of Fractions for 1579/722, 4612/5438 is 1/1963118.