GCF of 9192/566, 1058/967
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9192/566, 1058/967 i.e 2/547322 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9192/566, 1058/967.
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 9192/566,1058/967?
Given fractions are 9192/566,1058/967
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 9192/566,1058/967, numerators are 9192,1058
Denominators are 566,967
The GCF of 9192,1058 is 2 .
LCM of 566,967 is 547322.
The greatest common factor of 9192/566,1058/967 = [GCF of 9192,1058]/[LCM of 566,967]= 2/547322
Therefore, the GCF of 9192/566,1058/967 is 2/547322.
To find the highest common factor of 9192,1058, we have to find the factors of both numbers and list the highest common factor.
The factors of 9192 are 1, 2, 3, 4, 6, 8, 12, 24, 383, 766, 1149, 1532, 2298, 3064, 4596, 9192
The factors of 1058 are 1, 2, 23, 46, 529, 1058
The HCF of 9192,1058 is 2.
Lets's calculate GCF of 9192,1058
| 2 | 9192, 1058 |
| 4596, 529 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9192,1058 By Matching Biggest Common Factor Method
Now, list down the factors of 9192
:1,2,3,4,6,8,12,24,383,766,1149,1532,2298,3064,4596,9192
Now, list down the factors of 1058
:1,2,23,46,529,1058
Greatest Common Factor
We found the factors 9192,1058 . The biggest common factor number is the GCF number.
So the greatest common factor 9192,1058 is 2.
Lets's calculate LCM of 566,967
Given numbers has no common factors except 1. So, there LCM is their product i.e 547322
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/547322
Therefore, the GCF of Fractions 9192/566,1058/967 is 2/547322
Least Common Multiple of 566,967 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 566,967 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(566,967) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(566,967) x common factors =1 x 1 = 1
LCM(566,967) = ( 566 × 967 ) / 1
LCM(566,967) = 547322 / 1
LCM(566,967) = 547322
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FAQs on GCF of Fractions of 9192/566, 1058/967
1. What is the HCF of 9192,1058?
The HCF of 9192,1058 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 9192/566, 1058/967?
Answer: GCF of Numerators as per given numbers 9192/566, 1058/967 is
GCF of Numerators i.e. for 9192,1058 is 2
LCM of denominators i.e. for 566,967 is 547322.
Thus, GCF of Fractions is 2/547322.Finally, GCF of Fractions for 9192/566, 1058/967 is 2/547322.