GCF of 9942/142, 9568/7152
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9942/142, 9568/7152 i.e 2/507792 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9942/142, 9568/7152.
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 9942/142,9568/7152?
Given fractions are 9942/142,9568/7152
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 9942/142,9568/7152, numerators are 9942,9568
Denominators are 142,7152
The GCF of 9942,9568 is 2 .
LCM of 142,7152 is 507792.
The greatest common factor of 9942/142,9568/7152 = [GCF of 9942,9568]/[LCM of 142,7152]= 2/507792
Therefore, the GCF of 9942/142,9568/7152 is 2/507792.
To find the highest common factor of 9942,9568, we have to find the factors of both numbers and list the highest common factor.
The factors of 9942 are 1, 2, 3, 6, 1657, 3314, 4971, 9942
The factors of 9568 are 1, 2, 4, 8, 13, 16, 23, 26, 32, 46, 52, 92, 104, 184, 208, 299, 368, 416, 598, 736, 1196, 2392, 4784, 9568
The HCF of 9942,9568 is 2.
Lets's calculate GCF of 9942,9568
| 2 | 9942, 9568 |
| 4971, 4784 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9942,9568 By Matching Biggest Common Factor Method
Now, list down the factors of 9942
:1,2,3,6,1657,3314,4971,9942
Now, list down the factors of 9568
:1,2,4,8,13,16,23,26,32,46,52,92,104,184,208,299,368,416,598,736,1196,2392,4784,9568
Greatest Common Factor
We found the factors 9942,9568 . The biggest common factor number is the GCF number.
So the greatest common factor 9942,9568 is 2.
Lets's calculate LCM of 142,7152
| 2 | 142, 7152 |
| 71, 3576 |
∴ So the LCM of the given numbers is 2 x 71 x 3576 = 507792
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/507792
Therefore, the GCF of Fractions 9942/142,9568/7152 is 2/507792
Least Common Multiple of 142,7152 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 142,7152 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(142,7152) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(142,7152) x common factors =2 x 1 = 2
LCM(142,7152) = ( 142 × 7152 ) / 2
LCM(142,7152) = 1015584 / 2
LCM(142,7152) = 507792
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FAQs on GCF of Fractions of 9942/142, 9568/7152
1. What is the HCF of 9942,9568?
The HCF of 9942,9568 is 2
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 9942/142, 9568/7152?
Answer: GCF of Numerators as per given numbers 9942/142, 9568/7152 is
GCF of Numerators i.e. for 9942,9568 is 2
LCM of denominators i.e. for 142,7152 is 507792.
Thus, GCF of Fractions is 2/507792.Finally, GCF of Fractions for 9942/142, 9568/7152 is 2/507792.