GCF of 9236/154, 9164/8619
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9236/154, 9164/8619 i.e 4/1327326 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9236/154, 9164/8619.
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 9236/154,9164/8619?
Given fractions are 9236/154,9164/8619
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 9236/154,9164/8619, numerators are 9236,9164
Denominators are 154,8619
The GCF of 9236,9164 is 4 .
LCM of 154,8619 is 1327326.
The greatest common factor of 9236/154,9164/8619 = [GCF of 9236,9164]/[LCM of 154,8619]= 4/1327326
Therefore, the GCF of 9236/154,9164/8619 is 4/1327326.
To find the highest common factor of 9236,9164, we have to find the factors of both numbers and list the highest common factor.
The factors of 9236 are 1, 2, 4, 2309, 4618, 9236
The factors of 9164 are 1, 2, 4, 29, 58, 79, 116, 158, 316, 2291, 4582, 9164
The HCF of 9236,9164 is 4.
Lets's calculate GCF of 9236,9164
| 2 | 9236, 9164 |
| 2 | 4618, 4582 |
| 2309, 2291 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 9236,9164 By Matching Biggest Common Factor Method
Now, list down the factors of 9236
:1,2,4,2309,4618,9236
Now, list down the factors of 9164
:1,2,4,29,58,79,116,158,316,2291,4582,9164
Greatest Common Factor
We found the factors 9236,9164 . The biggest common factor number is the GCF number.
So the greatest common factor 9236,9164 is 4.
Lets's calculate LCM of 154,8619
Given numbers has no common factors except 1. So, there LCM is their product i.e 1327326
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1327326
Therefore, the GCF of Fractions 9236/154,9164/8619 is 4/1327326
Least Common Multiple of 154,8619 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 154,8619 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(154,8619) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(154,8619) x common factors =1 x 1 = 1
LCM(154,8619) = ( 154 × 8619 ) / 1
LCM(154,8619) = 1327326 / 1
LCM(154,8619) = 1327326
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FAQs on GCF of Fractions of 9236/154, 9164/8619
1. What is the HCF of 9236,9164?
The HCF of 9236,9164 is 4
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 9236/154, 9164/8619?
Answer: GCF of Numerators as per given numbers 9236/154, 9164/8619 is
GCF of Numerators i.e. for 9236,9164 is 4
LCM of denominators i.e. for 154,8619 is 1327326.
Thus, GCF of Fractions is 4/1327326.Finally, GCF of Fractions for 9236/154, 9164/8619 is 4/1327326.