GCF of 5996/572, 9768/2942
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5996/572, 9768/2942 i.e 4/841412 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5996/572, 9768/2942.
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 5996/572,9768/2942?
Given fractions are 5996/572,9768/2942
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 5996/572,9768/2942, numerators are 5996,9768
Denominators are 572,2942
The GCF of 5996,9768 is 4 .
LCM of 572,2942 is 841412.
The greatest common factor of 5996/572,9768/2942 = [GCF of 5996,9768]/[LCM of 572,2942]= 4/841412
Therefore, the GCF of 5996/572,9768/2942 is 4/841412.
To find the highest common factor of 5996,9768, we have to find the factors of both numbers and list the highest common factor.
The factors of 5996 are 1, 2, 4, 1499, 2998, 5996
The factors of 9768 are 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 37, 44, 66, 74, 88, 111, 132, 148, 222, 264, 296, 407, 444, 814, 888, 1221, 1628, 2442, 3256, 4884, 9768
The HCF of 5996,9768 is 4.
Lets's calculate GCF of 5996,9768
| 2 | 5996, 9768 |
| 2 | 2998, 4884 |
| 1499, 2442 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 5996,9768 By Matching Biggest Common Factor Method
Now, list down the factors of 5996
:1,2,4,1499,2998,5996
Now, list down the factors of 9768
:1,2,3,4,6,8,11,12,22,24,33,37,44,66,74,88,111,132,148,222,264,296,407,444,814,888,1221,1628,2442,3256,4884,9768
Greatest Common Factor
We found the factors 5996,9768 . The biggest common factor number is the GCF number.
So the greatest common factor 5996,9768 is 4.
Lets's calculate LCM of 572,2942
| 2 | 572, 2942 |
| 286, 1471 |
∴ So the LCM of the given numbers is 2 x 286 x 1471 = 841412
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/841412
Therefore, the GCF of Fractions 5996/572,9768/2942 is 4/841412
Least Common Multiple of 572,2942 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 572,2942 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(572,2942) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(572,2942) x common factors =2 x 1 = 2
LCM(572,2942) = ( 572 × 2942 ) / 2
LCM(572,2942) = 1682824 / 2
LCM(572,2942) = 841412
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FAQs on GCF of Fractions of 5996/572, 9768/2942
1. What is the HCF of 5996,9768?
The HCF of 5996,9768 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 5996/572, 9768/2942?
Answer: GCF of Numerators as per given numbers 5996/572, 9768/2942 is
GCF of Numerators i.e. for 5996,9768 is 4
LCM of denominators i.e. for 572,2942 is 841412.
Thus, GCF of Fractions is 4/841412.Finally, GCF of Fractions for 5996/572, 9768/2942 is 4/841412.