GCF of 9108/653, 3067/1176
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9108/653, 3067/1176 i.e 1/767928 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9108/653, 3067/1176.
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 9108/653,3067/1176?
Given fractions are 9108/653,3067/1176
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 9108/653,3067/1176, numerators are 9108,3067
Denominators are 653,1176
The GCF of 9108,3067 is 1 .
LCM of 653,1176 is 767928.
The greatest common factor of 9108/653,3067/1176 = [GCF of 9108,3067]/[LCM of 653,1176]= 1/767928
Therefore, the GCF of 9108/653,3067/1176 is 1/767928.
To find the highest common factor of 9108,3067, we have to find the factors of both numbers and list the highest common factor.
The factors of 9108 are 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 23, 33, 36, 44, 46, 66, 69, 92, 99, 132, 138, 198, 207, 253, 276, 396, 414, 506, 759, 828, 1012, 1518, 2277, 3036, 4554, 9108
The factors of 3067 are 1, 3067
The HCF of 9108,3067 is 1.
Lets's calculate GCF of 9108,3067
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9108,3067 By Matching Biggest Common Factor Method
Now, list down the factors of 9108
:1,2,3,4,6,9,11,12,18,22,23,33,36,44,46,66,69,92,99,132,138,198,207,253,276,396,414,506,759,828,1012,1518,2277,3036,4554,9108
Now, list down the factors of 3067
:1,3067
Greatest Common Factor
We found the factors 9108,3067 . The biggest common factor number is the GCF number.
So the greatest common factor 9108,3067 is 1.
Lets's calculate LCM of 653,1176
Given numbers has no common factors except 1. So, there LCM is their product i.e 767928
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/767928
Therefore, the GCF of Fractions 9108/653,3067/1176 is 1/767928
Least Common Multiple of 653,1176 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 653,1176 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(653,1176) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(653,1176) x common factors =1 x 1 = 1
LCM(653,1176) = ( 653 × 1176 ) / 1
LCM(653,1176) = 767928 / 1
LCM(653,1176) = 767928
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9108/653, 3067/1176
1. What is the HCF of 9108,3067?
The HCF of 9108,3067 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 9108/653, 3067/1176?
Answer: GCF of Numerators as per given numbers 9108/653, 3067/1176 is
GCF of Numerators i.e. for 9108,3067 is 1
LCM of denominators i.e. for 653,1176 is 767928.
Thus, GCF of Fractions is 1/767928.Finally, GCF of Fractions for 9108/653, 3067/1176 is 1/767928.