GCF of 5952/331, 1552/2526
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5952/331, 1552/2526 i.e 16/836106 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5952/331, 1552/2526.
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 5952/331,1552/2526?
Given fractions are 5952/331,1552/2526
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 5952/331,1552/2526, numerators are 5952,1552
Denominators are 331,2526
The GCF of 5952,1552 is 16 .
LCM of 331,2526 is 836106.
The greatest common factor of 5952/331,1552/2526 = [GCF of 5952,1552]/[LCM of 331,2526]= 16/836106
Therefore, the GCF of 5952/331,1552/2526 is 16/836106.
To find the highest common factor of 5952,1552, we have to find the factors of both numbers and list the highest common factor.
The factors of 5952 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 31, 32, 48, 62, 64, 93, 96, 124, 186, 192, 248, 372, 496, 744, 992, 1488, 1984, 2976, 5952
The factors of 1552 are 1, 2, 4, 8, 16, 97, 194, 388, 776, 1552
The HCF of 5952,1552 is 16.
Lets's calculate GCF of 5952,1552
| 2 | 5952, 1552 |
| 2 | 2976, 776 |
| 2 | 1488, 388 |
| 2 | 744, 194 |
| 372, 97 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Greatest Common Factor of 5952,1552 By Matching Biggest Common Factor Method
Now, list down the factors of 5952
:1,2,3,4,6,8,12,16,24,31,32,48,62,64,93,96,124,186,192,248,372,496,744,992,1488,1984,2976,5952
Now, list down the factors of 1552
:1,2,4,8,16,97,194,388,776,1552
Greatest Common Factor
We found the factors 5952,1552 . The biggest common factor number is the GCF number.
So the greatest common factor 5952,1552 is 16.
Lets's calculate LCM of 331,2526
Given numbers has no common factors except 1. So, there LCM is their product i.e 836106
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/836106
Therefore, the GCF of Fractions 5952/331,1552/2526 is 16/836106
Least Common Multiple of 331,2526 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 331,2526 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(331,2526) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(331,2526) x common factors =1 x 1 = 1
LCM(331,2526) = ( 331 × 2526 ) / 1
LCM(331,2526) = 836106 / 1
LCM(331,2526) = 836106
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FAQs on GCF of Fractions of 5952/331, 1552/2526
1. What is the HCF of 5952,1552?
The HCF of 5952,1552 is 16
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 5952/331, 1552/2526?
Answer: GCF of Numerators as per given numbers 5952/331, 1552/2526 is
GCF of Numerators i.e. for 5952,1552 is 16
LCM of denominators i.e. for 331,2526 is 836106.
Thus, GCF of Fractions is 16/836106.Finally, GCF of Fractions for 5952/331, 1552/2526 is 16/836106.