GCF of 4859/572, 4309/746
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4859/572, 4309/746 i.e 1/213356 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4859/572, 4309/746.
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 4859/572,4309/746?
Given fractions are 4859/572,4309/746
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 4859/572,4309/746, numerators are 4859,4309
Denominators are 572,746
The GCF of 4859,4309 is 1 .
LCM of 572,746 is 213356.
The greatest common factor of 4859/572,4309/746 = [GCF of 4859,4309]/[LCM of 572,746]= 1/213356
Therefore, the GCF of 4859/572,4309/746 is 1/213356.
To find the highest common factor of 4859,4309, we have to find the factors of both numbers and list the highest common factor.
The factors of 4859 are 1, 43, 113, 4859
The factors of 4309 are 1, 31, 139, 4309
The HCF of 4859,4309 is 1.
Lets's calculate GCF of 4859,4309
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4859,4309 By Matching Biggest Common Factor Method
Now, list down the factors of 4859
:1,43,113,4859
Now, list down the factors of 4309
:1,31,139,4309
Greatest Common Factor
We found the factors 4859,4309 . The biggest common factor number is the GCF number.
So the greatest common factor 4859,4309 is 1.
Lets's calculate LCM of 572,746
| 2 | 572, 746 |
| 286, 373 |
∴ So the LCM of the given numbers is 2 x 286 x 373 = 213356
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/213356
Therefore, the GCF of Fractions 4859/572,4309/746 is 1/213356
Least Common Multiple of 572,746 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 572,746 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(572,746) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(572,746) x common factors =2 x 1 = 2
LCM(572,746) = ( 572 × 746 ) / 2
LCM(572,746) = 426712 / 2
LCM(572,746) = 213356
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FAQs on GCF of Fractions of 4859/572, 4309/746
1. What is the HCF of 4859,4309?
The HCF of 4859,4309 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 4859/572, 4309/746?
Answer: GCF of Numerators as per given numbers 4859/572, 4309/746 is
GCF of Numerators i.e. for 4859,4309 is 1
LCM of denominators i.e. for 572,746 is 213356.
Thus, GCF of Fractions is 1/213356.Finally, GCF of Fractions for 4859/572, 4309/746 is 1/213356.