GCF of 9962/854, 9320/9694
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9962/854, 9320/9694 i.e 2/4139338 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9962/854, 9320/9694.
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 9962/854,9320/9694?
Given fractions are 9962/854,9320/9694
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 9962/854,9320/9694, numerators are 9962,9320
Denominators are 854,9694
The GCF of 9962,9320 is 2 .
LCM of 854,9694 is 4139338.
The greatest common factor of 9962/854,9320/9694 = [GCF of 9962,9320]/[LCM of 854,9694]= 2/4139338
Therefore, the GCF of 9962/854,9320/9694 is 2/4139338.
To find the highest common factor of 9962,9320, we have to find the factors of both numbers and list the highest common factor.
The factors of 9962 are 1, 2, 17, 34, 293, 586, 4981, 9962
The factors of 9320 are 1, 2, 4, 5, 8, 10, 20, 40, 233, 466, 932, 1165, 1864, 2330, 4660, 9320
The HCF of 9962,9320 is 2.
Lets's calculate GCF of 9962,9320
| 2 | 9962, 9320 |
| 4981, 4660 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9962,9320 By Matching Biggest Common Factor Method
Now, list down the factors of 9962
:1,2,17,34,293,586,4981,9962
Now, list down the factors of 9320
:1,2,4,5,8,10,20,40,233,466,932,1165,1864,2330,4660,9320
Greatest Common Factor
We found the factors 9962,9320 . The biggest common factor number is the GCF number.
So the greatest common factor 9962,9320 is 2.
Lets's calculate LCM of 854,9694
| 2 | 854, 9694 |
| 427, 4847 |
∴ So the LCM of the given numbers is 2 x 427 x 4847 = 4139338
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4139338
Therefore, the GCF of Fractions 9962/854,9320/9694 is 2/4139338
Least Common Multiple of 854,9694 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 854,9694 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(854,9694) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(854,9694) x common factors =2 x 1 = 2
LCM(854,9694) = ( 854 × 9694 ) / 2
LCM(854,9694) = 8278676 / 2
LCM(854,9694) = 4139338
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FAQs on GCF of Fractions of 9962/854, 9320/9694
1. What is the HCF of 9962,9320?
The HCF of 9962,9320 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 9962/854, 9320/9694?
Answer: GCF of Numerators as per given numbers 9962/854, 9320/9694 is
GCF of Numerators i.e. for 9962,9320 is 2
LCM of denominators i.e. for 854,9694 is 4139338.
Thus, GCF of Fractions is 2/4139338.Finally, GCF of Fractions for 9962/854, 9320/9694 is 2/4139338.