GCF of 4646/514, 4778/320
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4646/514, 4778/320 i.e 2/82240 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4646/514, 4778/320.
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 4646/514,4778/320?
Given fractions are 4646/514,4778/320
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 4646/514,4778/320, numerators are 4646,4778
Denominators are 514,320
The GCF of 4646,4778 is 2 .
LCM of 514,320 is 82240.
The greatest common factor of 4646/514,4778/320 = [GCF of 4646,4778]/[LCM of 514,320]= 2/82240
Therefore, the GCF of 4646/514,4778/320 is 2/82240.
To find the highest common factor of 4646,4778, we have to find the factors of both numbers and list the highest common factor.
The factors of 4646 are 1, 2, 23, 46, 101, 202, 2323, 4646
The factors of 4778 are 1, 2, 2389, 4778
The HCF of 4646,4778 is 2.
Lets's calculate GCF of 4646,4778
| 2 | 4646, 4778 |
| 2323, 2389 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4646,4778 By Matching Biggest Common Factor Method
Now, list down the factors of 4646
:1,2,23,46,101,202,2323,4646
Now, list down the factors of 4778
:1,2,2389,4778
Greatest Common Factor
We found the factors 4646,4778 . The biggest common factor number is the GCF number.
So the greatest common factor 4646,4778 is 2.
Lets's calculate LCM of 514,320
| 2 | 514, 320 |
| 257, 160 |
∴ So the LCM of the given numbers is 2 x 257 x 160 = 82240
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/82240
Therefore, the GCF of Fractions 4646/514,4778/320 is 2/82240
Least Common Multiple of 514,320 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 514,320 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(514,320) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(514,320) x common factors =2 x 1 = 2
LCM(514,320) = ( 514 × 320 ) / 2
LCM(514,320) = 164480 / 2
LCM(514,320) = 82240
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FAQs on GCF of Fractions of 4646/514, 4778/320
1. What is the HCF of 4646,4778?
The HCF of 4646,4778 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 4646/514, 4778/320?
Answer: GCF of Numerators as per given numbers 4646/514, 4778/320 is
GCF of Numerators i.e. for 4646,4778 is 2
LCM of denominators i.e. for 514,320 is 82240.
Thus, GCF of Fractions is 2/82240.Finally, GCF of Fractions for 4646/514, 4778/320 is 2/82240.