GCF of 5952/107, 3160/8945
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5952/107, 3160/8945 i.e 8/957115 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5952/107, 3160/8945.
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 5952/107,3160/8945?
Given fractions are 5952/107,3160/8945
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 5952/107,3160/8945, numerators are 5952,3160
Denominators are 107,8945
The GCF of 5952,3160 is 8 .
LCM of 107,8945 is 957115.
The greatest common factor of 5952/107,3160/8945 = [GCF of 5952,3160]/[LCM of 107,8945]= 8/957115
Therefore, the GCF of 5952/107,3160/8945 is 8/957115.
To find the highest common factor of 5952,3160, 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 3160 are 1, 2, 4, 5, 8, 10, 20, 40, 79, 158, 316, 395, 632, 790, 1580, 3160
The HCF of 5952,3160 is 8.
Lets's calculate GCF of 5952,3160
| 2 | 5952, 3160 |
| 2 | 2976, 1580 |
| 2 | 1488, 790 |
| 744, 395 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 5952,3160 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 3160
:1,2,4,5,8,10,20,40,79,158,316,395,632,790,1580,3160
Greatest Common Factor
We found the factors 5952,3160 . The biggest common factor number is the GCF number.
So the greatest common factor 5952,3160 is 8.
Lets's calculate LCM of 107,8945
Given numbers has no common factors except 1. So, there LCM is their product i.e 957115
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/957115
Therefore, the GCF of Fractions 5952/107,3160/8945 is 8/957115
Least Common Multiple of 107,8945 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 107,8945 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(107,8945) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(107,8945) x common factors =1 x 1 = 1
LCM(107,8945) = ( 107 × 8945 ) / 1
LCM(107,8945) = 957115 / 1
LCM(107,8945) = 957115
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FAQs on GCF of Fractions of 5952/107, 3160/8945
1. What is the HCF of 5952,3160?
The HCF of 5952,3160 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 5952/107, 3160/8945?
Answer: GCF of Numerators as per given numbers 5952/107, 3160/8945 is
GCF of Numerators i.e. for 5952,3160 is 8
LCM of denominators i.e. for 107,8945 is 957115.
Thus, GCF of Fractions is 8/957115.Finally, GCF of Fractions for 5952/107, 3160/8945 is 8/957115.