GCF of 9382/365, 7764/6792
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9382/365, 7764/6792 i.e 2/2479080 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9382/365, 7764/6792.
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 9382/365,7764/6792?
Given fractions are 9382/365,7764/6792
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 9382/365,7764/6792, numerators are 9382,7764
Denominators are 365,6792
The GCF of 9382,7764 is 2 .
LCM of 365,6792 is 2479080.
The greatest common factor of 9382/365,7764/6792 = [GCF of 9382,7764]/[LCM of 365,6792]= 2/2479080
Therefore, the GCF of 9382/365,7764/6792 is 2/2479080.
To find the highest common factor of 9382,7764, we have to find the factors of both numbers and list the highest common factor.
The factors of 9382 are 1, 2, 4691, 9382
The factors of 7764 are 1, 2, 3, 4, 6, 12, 647, 1294, 1941, 2588, 3882, 7764
The HCF of 9382,7764 is 2.
Lets's calculate GCF of 9382,7764
| 2 | 9382, 7764 |
| 4691, 3882 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9382,7764 By Matching Biggest Common Factor Method
Now, list down the factors of 9382
:1,2,4691,9382
Now, list down the factors of 7764
:1,2,3,4,6,12,647,1294,1941,2588,3882,7764
Greatest Common Factor
We found the factors 9382,7764 . The biggest common factor number is the GCF number.
So the greatest common factor 9382,7764 is 2.
Lets's calculate LCM of 365,6792
Given numbers has no common factors except 1. So, there LCM is their product i.e 2479080
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2479080
Therefore, the GCF of Fractions 9382/365,7764/6792 is 2/2479080
Least Common Multiple of 365,6792 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 365,6792 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(365,6792) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(365,6792) x common factors =1 x 1 = 1
LCM(365,6792) = ( 365 × 6792 ) / 1
LCM(365,6792) = 2479080 / 1
LCM(365,6792) = 2479080
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FAQs on GCF of Fractions of 9382/365, 7764/6792
1. What is the HCF of 9382,7764?
The HCF of 9382,7764 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 9382/365, 7764/6792?
Answer: GCF of Numerators as per given numbers 9382/365, 7764/6792 is
GCF of Numerators i.e. for 9382,7764 is 2
LCM of denominators i.e. for 365,6792 is 2479080.
Thus, GCF of Fractions is 2/2479080.Finally, GCF of Fractions for 9382/365, 7764/6792 is 2/2479080.