GCF of 5960/612, 6732/3904
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5960/612, 6732/3904 i.e 4/597312 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5960/612, 6732/3904.
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 5960/612,6732/3904?
Given fractions are 5960/612,6732/3904
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 5960/612,6732/3904, numerators are 5960,6732
Denominators are 612,3904
The GCF of 5960,6732 is 4 .
LCM of 612,3904 is 597312.
The greatest common factor of 5960/612,6732/3904 = [GCF of 5960,6732]/[LCM of 612,3904]= 4/597312
Therefore, the GCF of 5960/612,6732/3904 is 4/597312.
To find the highest common factor of 5960,6732, we have to find the factors of both numbers and list the highest common factor.
The factors of 5960 are 1, 2, 4, 5, 8, 10, 20, 40, 149, 298, 596, 745, 1192, 1490, 2980, 5960
The factors of 6732 are 1, 2, 3, 4, 6, 9, 11, 12, 17, 18, 22, 33, 34, 36, 44, 51, 66, 68, 99, 102, 132, 153, 187, 198, 204, 306, 374, 396, 561, 612, 748, 1122, 1683, 2244, 3366, 6732
The HCF of 5960,6732 is 4.
Lets's calculate GCF of 5960,6732
| 2 | 5960, 6732 |
| 2 | 2980, 3366 |
| 1490, 1683 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 5960,6732 By Matching Biggest Common Factor Method
Now, list down the factors of 5960
:1,2,4,5,8,10,20,40,149,298,596,745,1192,1490,2980,5960
Now, list down the factors of 6732
:1,2,3,4,6,9,11,12,17,18,22,33,34,36,44,51,66,68,99,102,132,153,187,198,204,306,374,396,561,612,748,1122,1683,2244,3366,6732
Greatest Common Factor
We found the factors 5960,6732 . The biggest common factor number is the GCF number.
So the greatest common factor 5960,6732 is 4.
Lets's calculate LCM of 612,3904
| 2 | 612, 3904 |
| 2 | 306, 1952 |
| 153, 976 |
∴ So the LCM of the given numbers is 2 x 2 x 153 x 976 = 597312
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/597312
Therefore, the GCF of Fractions 5960/612,6732/3904 is 4/597312
Least Common Multiple of 612,3904 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 612,3904 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(612,3904) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(612,3904) x common factors =4 x 1 = 4
LCM(612,3904) = ( 612 × 3904 ) / 4
LCM(612,3904) = 2389248 / 4
LCM(612,3904) = 597312
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FAQs on GCF of Fractions of 5960/612, 6732/3904
1. What is the HCF of 5960,6732?
The HCF of 5960,6732 is 4
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 5960/612, 6732/3904?
Answer: GCF of Numerators as per given numbers 5960/612, 6732/3904 is
GCF of Numerators i.e. for 5960,6732 is 4
LCM of denominators i.e. for 612,3904 is 597312.
Thus, GCF of Fractions is 4/597312.Finally, GCF of Fractions for 5960/612, 6732/3904 is 4/597312.