GCF of 9399/302, 8277/9715
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9399/302, 8277/9715 i.e 3/2933930 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9399/302, 8277/9715.
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 9399/302,8277/9715?
Given fractions are 9399/302,8277/9715
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 9399/302,8277/9715, numerators are 9399,8277
Denominators are 302,9715
The GCF of 9399,8277 is 3 .
LCM of 302,9715 is 2933930.
The greatest common factor of 9399/302,8277/9715 = [GCF of 9399,8277]/[LCM of 302,9715]= 3/2933930
Therefore, the GCF of 9399/302,8277/9715 is 3/2933930.
To find the highest common factor of 9399,8277, we have to find the factors of both numbers and list the highest common factor.
The factors of 9399 are 1, 3, 13, 39, 241, 723, 3133, 9399
The factors of 8277 are 1, 3, 31, 89, 93, 267, 2759, 8277
The HCF of 9399,8277 is 3.
Lets's calculate GCF of 9399,8277
| 3 | 9399, 8277 |
| 3133, 2759 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9399,8277 By Matching Biggest Common Factor Method
Now, list down the factors of 9399
:1,3,13,39,241,723,3133,9399
Now, list down the factors of 8277
:1,3,31,89,93,267,2759,8277
Greatest Common Factor
We found the factors 9399,8277 . The biggest common factor number is the GCF number.
So the greatest common factor 9399,8277 is 3.
Lets's calculate LCM of 302,9715
Given numbers has no common factors except 1. So, there LCM is their product i.e 2933930
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2933930
Therefore, the GCF of Fractions 9399/302,8277/9715 is 3/2933930
Least Common Multiple of 302,9715 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 302,9715 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(302,9715) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(302,9715) x common factors =1 x 1 = 1
LCM(302,9715) = ( 302 × 9715 ) / 1
LCM(302,9715) = 2933930 / 1
LCM(302,9715) = 2933930
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FAQs on GCF of Fractions of 9399/302, 8277/9715
1. What is the HCF of 9399,8277?
The HCF of 9399,8277 is 3
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 9399/302, 8277/9715?
Answer: GCF of Numerators as per given numbers 9399/302, 8277/9715 is
GCF of Numerators i.e. for 9399,8277 is 3
LCM of denominators i.e. for 302,9715 is 2933930.
Thus, GCF of Fractions is 3/2933930.Finally, GCF of Fractions for 9399/302, 8277/9715 is 3/2933930.