GCF of 3952/460, 4232/510
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3952/460, 4232/510 i.e 8/23460 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3952/460, 4232/510.
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 3952/460,4232/510?
Given fractions are 3952/460,4232/510
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 3952/460,4232/510, numerators are 3952,4232
Denominators are 460,510
The GCF of 3952,4232 is 8 .
LCM of 460,510 is 23460.
The greatest common factor of 3952/460,4232/510 = [GCF of 3952,4232]/[LCM of 460,510]= 8/23460
Therefore, the GCF of 3952/460,4232/510 is 8/23460.
To find the highest common factor of 3952,4232, we have to find the factors of both numbers and list the highest common factor.
The factors of 3952 are 1, 2, 4, 8, 13, 16, 19, 26, 38, 52, 76, 104, 152, 208, 247, 304, 494, 988, 1976, 3952
The factors of 4232 are 1, 2, 4, 8, 23, 46, 92, 184, 529, 1058, 2116, 4232
The HCF of 3952,4232 is 8.
Lets's calculate GCF of 3952,4232
| 2 | 3952, 4232 |
| 2 | 1976, 2116 |
| 2 | 988, 1058 |
| 494, 529 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 3952,4232 By Matching Biggest Common Factor Method
Now, list down the factors of 3952
:1,2,4,8,13,16,19,26,38,52,76,104,152,208,247,304,494,988,1976,3952
Now, list down the factors of 4232
:1,2,4,8,23,46,92,184,529,1058,2116,4232
Greatest Common Factor
We found the factors 3952,4232 . The biggest common factor number is the GCF number.
So the greatest common factor 3952,4232 is 8.
Lets's calculate LCM of 460,510
| 2 | 460, 510 |
| 5 | 230, 255 |
| 46, 51 |
∴ So the LCM of the given numbers is 2 x 5 x 46 x 51 = 23460
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/23460
Therefore, the GCF of Fractions 3952/460,4232/510 is 8/23460
Least Common Multiple of 460,510 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 460,510 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(460,510) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(460,510) x common factors =10 x 1 = 10
LCM(460,510) = ( 460 × 510 ) / 10
LCM(460,510) = 234600 / 10
LCM(460,510) = 23460
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FAQs on GCF of Fractions of 3952/460, 4232/510
1. What is the HCF of 3952,4232?
The HCF of 3952,4232 is 8
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 3952/460, 4232/510?
Answer: GCF of Numerators as per given numbers 3952/460, 4232/510 is
GCF of Numerators i.e. for 3952,4232 is 8
LCM of denominators i.e. for 460,510 is 23460.
Thus, GCF of Fractions is 8/23460.Finally, GCF of Fractions for 3952/460, 4232/510 is 8/23460.