GCF of 6052/252, 3961/3709
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6052/252, 3961/3709 i.e 17/934668 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6052/252, 3961/3709.
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 6052/252,3961/3709?
Given fractions are 6052/252,3961/3709
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 6052/252,3961/3709, numerators are 6052,3961
Denominators are 252,3709
The GCF of 6052,3961 is 17 .
LCM of 252,3709 is 934668.
The greatest common factor of 6052/252,3961/3709 = [GCF of 6052,3961]/[LCM of 252,3709]= 17/934668
Therefore, the GCF of 6052/252,3961/3709 is 17/934668.
To find the highest common factor of 6052,3961, we have to find the factors of both numbers and list the highest common factor.
The factors of 6052 are 1, 2, 4, 17, 34, 68, 89, 178, 356, 1513, 3026, 6052
The factors of 3961 are 1, 17, 233, 3961
The HCF of 6052,3961 is 17.
Lets's calculate GCF of 6052,3961
| 17 | 6052, 3961 |
| 356, 233 |
∴ So the GCF of the given numbers is 17 = 17
Greatest Common Factor of 6052,3961 By Matching Biggest Common Factor Method
Now, list down the factors of 6052
:1,2,4,17,34,68,89,178,356,1513,3026,6052
Now, list down the factors of 3961
:1,17,233,3961
Greatest Common Factor
We found the factors 6052,3961 . The biggest common factor number is the GCF number.
So the greatest common factor 6052,3961 is 17.
Lets's calculate LCM of 252,3709
Given numbers has no common factors except 1. So, there LCM is their product i.e 934668
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/934668
Therefore, the GCF of Fractions 6052/252,3961/3709 is 17/934668
Least Common Multiple of 252,3709 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 252,3709 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(252,3709) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(252,3709) x common factors =1 x 1 = 1
LCM(252,3709) = ( 252 × 3709 ) / 1
LCM(252,3709) = 934668 / 1
LCM(252,3709) = 934668
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FAQs on GCF of Fractions of 6052/252, 3961/3709
1. What is the HCF of 6052,3961?
The HCF of 6052,3961 is 17
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 6052/252, 3961/3709?
Answer: GCF of Numerators as per given numbers 6052/252, 3961/3709 is
GCF of Numerators i.e. for 6052,3961 is 17
LCM of denominators i.e. for 252,3709 is 934668.
Thus, GCF of Fractions is 17/934668.Finally, GCF of Fractions for 6052/252, 3961/3709 is 17/934668.