GCF of 7232/142, 9968/9316
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7232/142, 9968/9316 i.e 16/661436 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7232/142, 9968/9316.
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 7232/142,9968/9316?
Given fractions are 7232/142,9968/9316
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 7232/142,9968/9316, numerators are 7232,9968
Denominators are 142,9316
The GCF of 7232,9968 is 16 .
LCM of 142,9316 is 661436.
The greatest common factor of 7232/142,9968/9316 = [GCF of 7232,9968]/[LCM of 142,9316]= 16/661436
Therefore, the GCF of 7232/142,9968/9316 is 16/661436.
To find the highest common factor of 7232,9968, we have to find the factors of both numbers and list the highest common factor.
The factors of 7232 are 1, 2, 4, 8, 16, 32, 64, 113, 226, 452, 904, 1808, 3616, 7232
The factors of 9968 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 89, 112, 178, 356, 623, 712, 1246, 1424, 2492, 4984, 9968
The HCF of 7232,9968 is 16.
Lets's calculate GCF of 7232,9968
| 2 | 7232, 9968 |
| 2 | 3616, 4984 |
| 2 | 1808, 2492 |
| 2 | 904, 1246 |
| 452, 623 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Greatest Common Factor of 7232,9968 By Matching Biggest Common Factor Method
Now, list down the factors of 7232
:1,2,4,8,16,32,64,113,226,452,904,1808,3616,7232
Now, list down the factors of 9968
:1,2,4,7,8,14,16,28,56,89,112,178,356,623,712,1246,1424,2492,4984,9968
Greatest Common Factor
We found the factors 7232,9968 . The biggest common factor number is the GCF number.
So the greatest common factor 7232,9968 is 16.
Lets's calculate LCM of 142,9316
| 2 | 142, 9316 |
| 71, 4658 |
∴ So the LCM of the given numbers is 2 x 71 x 4658 = 661436
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/661436
Therefore, the GCF of Fractions 7232/142,9968/9316 is 16/661436
Least Common Multiple of 142,9316 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 142,9316 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(142,9316) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(142,9316) x common factors =2 x 1 = 2
LCM(142,9316) = ( 142 × 9316 ) / 2
LCM(142,9316) = 1322872 / 2
LCM(142,9316) = 661436
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FAQs on GCF of Fractions of 7232/142, 9968/9316
1. What is the HCF of 7232,9968?
The HCF of 7232,9968 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 7232/142, 9968/9316?
Answer: GCF of Numerators as per given numbers 7232/142, 9968/9316 is
GCF of Numerators i.e. for 7232,9968 is 16
LCM of denominators i.e. for 142,9316 is 661436.
Thus, GCF of Fractions is 16/661436.Finally, GCF of Fractions for 7232/142, 9968/9316 is 16/661436.