GCF of 3952/364, 6282/8051
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3952/364, 6282/8051 i.e 2/2930564 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3952/364, 6282/8051.
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 3952/364,6282/8051?
Given fractions are 3952/364,6282/8051
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 3952/364,6282/8051, numerators are 3952,6282
Denominators are 364,8051
The GCF of 3952,6282 is 2 .
LCM of 364,8051 is 2930564.
The greatest common factor of 3952/364,6282/8051 = [GCF of 3952,6282]/[LCM of 364,8051]= 2/2930564
Therefore, the GCF of 3952/364,6282/8051 is 2/2930564.
To find the highest common factor of 3952,6282, 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 6282 are 1, 2, 3, 6, 9, 18, 349, 698, 1047, 2094, 3141, 6282
The HCF of 3952,6282 is 2.
Lets's calculate GCF of 3952,6282
| 2 | 3952, 6282 |
| 1976, 3141 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3952,6282 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 6282
:1,2,3,6,9,18,349,698,1047,2094,3141,6282
Greatest Common Factor
We found the factors 3952,6282 . The biggest common factor number is the GCF number.
So the greatest common factor 3952,6282 is 2.
Lets's calculate LCM of 364,8051
Given numbers has no common factors except 1. So, there LCM is their product i.e 2930564
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2930564
Therefore, the GCF of Fractions 3952/364,6282/8051 is 2/2930564
Least Common Multiple of 364,8051 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 364,8051 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(364,8051) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(364,8051) x common factors =1 x 1 = 1
LCM(364,8051) = ( 364 × 8051 ) / 1
LCM(364,8051) = 2930564 / 1
LCM(364,8051) = 2930564
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FAQs on GCF of Fractions of 3952/364, 6282/8051
1. What is the HCF of 3952,6282?
The HCF of 3952,6282 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 3952/364, 6282/8051?
Answer: GCF of Numerators as per given numbers 3952/364, 6282/8051 is
GCF of Numerators i.e. for 3952,6282 is 2
LCM of denominators i.e. for 364,8051 is 2930564.
Thus, GCF of Fractions is 2/2930564.Finally, GCF of Fractions for 3952/364, 6282/8051 is 2/2930564.