GCF of 9983/786, 9357/1662
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9983/786, 9357/1662 i.e 1/217722 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9983/786, 9357/1662.
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 9983/786,9357/1662?
Given fractions are 9983/786,9357/1662
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 9983/786,9357/1662, numerators are 9983,9357
Denominators are 786,1662
The GCF of 9983,9357 is 1 .
LCM of 786,1662 is 217722.
The greatest common factor of 9983/786,9357/1662 = [GCF of 9983,9357]/[LCM of 786,1662]= 1/217722
Therefore, the GCF of 9983/786,9357/1662 is 1/217722.
To find the highest common factor of 9983,9357, we have to find the factors of both numbers and list the highest common factor.
The factors of 9983 are 1, 67, 149, 9983
The factors of 9357 are 1, 3, 3119, 9357
The HCF of 9983,9357 is 1.
Lets's calculate GCF of 9983,9357
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9983,9357 By Matching Biggest Common Factor Method
Now, list down the factors of 9983
:1,67,149,9983
Now, list down the factors of 9357
:1,3,3119,9357
Greatest Common Factor
We found the factors 9983,9357 . The biggest common factor number is the GCF number.
So the greatest common factor 9983,9357 is 1.
Lets's calculate LCM of 786,1662
| 2 | 786, 1662 |
| 3 | 393, 831 |
| 131, 277 |
∴ So the LCM of the given numbers is 2 x 3 x 131 x 277 = 217722
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/217722
Therefore, the GCF of Fractions 9983/786,9357/1662 is 1/217722
Least Common Multiple of 786,1662 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 786,1662 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(786,1662) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(786,1662) x common factors =6 x 1 = 6
LCM(786,1662) = ( 786 × 1662 ) / 6
LCM(786,1662) = 1306332 / 6
LCM(786,1662) = 217722
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FAQs on GCF of Fractions of 9983/786, 9357/1662
1. What is the HCF of 9983,9357?
The HCF of 9983,9357 is 1
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 9983/786, 9357/1662?
Answer: GCF of Numerators as per given numbers 9983/786, 9357/1662 is
GCF of Numerators i.e. for 9983,9357 is 1
LCM of denominators i.e. for 786,1662 is 217722.
Thus, GCF of Fractions is 1/217722.Finally, GCF of Fractions for 9983/786, 9357/1662 is 1/217722.