GCF of 9678/991, 5793/9009
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9678/991, 5793/9009 i.e 3/8927919 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9678/991, 5793/9009.
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 9678/991,5793/9009?
Given fractions are 9678/991,5793/9009
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 9678/991,5793/9009, numerators are 9678,5793
Denominators are 991,9009
The GCF of 9678,5793 is 3 .
LCM of 991,9009 is 8927919.
The greatest common factor of 9678/991,5793/9009 = [GCF of 9678,5793]/[LCM of 991,9009]= 3/8927919
Therefore, the GCF of 9678/991,5793/9009 is 3/8927919.
To find the highest common factor of 9678,5793, we have to find the factors of both numbers and list the highest common factor.
The factors of 9678 are 1, 2, 3, 6, 1613, 3226, 4839, 9678
The factors of 5793 are 1, 3, 1931, 5793
The HCF of 9678,5793 is 3.
Lets's calculate GCF of 9678,5793
| 3 | 9678, 5793 |
| 3226, 1931 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9678,5793 By Matching Biggest Common Factor Method
Now, list down the factors of 9678
:1,2,3,6,1613,3226,4839,9678
Now, list down the factors of 5793
:1,3,1931,5793
Greatest Common Factor
We found the factors 9678,5793 . The biggest common factor number is the GCF number.
So the greatest common factor 9678,5793 is 3.
Lets's calculate LCM of 991,9009
Given numbers has no common factors except 1. So, there LCM is their product i.e 8927919
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/8927919
Therefore, the GCF of Fractions 9678/991,5793/9009 is 3/8927919
Least Common Multiple of 991,9009 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 991,9009 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(991,9009) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(991,9009) x common factors =1 x 1 = 1
LCM(991,9009) = ( 991 × 9009 ) / 1
LCM(991,9009) = 8927919 / 1
LCM(991,9009) = 8927919
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FAQs on GCF of Fractions of 9678/991, 5793/9009
1. What is the HCF of 9678,5793?
The HCF of 9678,5793 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 9678/991, 5793/9009?
Answer: GCF of Numerators as per given numbers 9678/991, 5793/9009 is
GCF of Numerators i.e. for 9678,5793 is 3
LCM of denominators i.e. for 991,9009 is 8927919.
Thus, GCF of Fractions is 3/8927919.Finally, GCF of Fractions for 9678/991, 5793/9009 is 3/8927919.