GCF of 3108/177, 9236/9027
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3108/177, 9236/9027 i.e 4/9027 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3108/177, 9236/9027.
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 3108/177,9236/9027?
Given fractions are 3108/177,9236/9027
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 3108/177,9236/9027, numerators are 3108,9236
Denominators are 177,9027
The GCF of 3108,9236 is 4 .
LCM of 177,9027 is 9027.
The greatest common factor of 3108/177,9236/9027 = [GCF of 3108,9236]/[LCM of 177,9027]= 4/9027
Therefore, the GCF of 3108/177,9236/9027 is 4/9027.
To find the highest common factor of 3108,9236, we have to find the factors of both numbers and list the highest common factor.
The factors of 3108 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 37, 42, 74, 84, 111, 148, 222, 259, 444, 518, 777, 1036, 1554, 3108
The factors of 9236 are 1, 2, 4, 2309, 4618, 9236
The HCF of 3108,9236 is 4.
Lets's calculate GCF of 3108,9236
| 2 | 3108, 9236 |
| 2 | 1554, 4618 |
| 777, 2309 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 3108,9236 By Matching Biggest Common Factor Method
Now, list down the factors of 3108
:1,2,3,4,6,7,12,14,21,28,37,42,74,84,111,148,222,259,444,518,777,1036,1554,3108
Now, list down the factors of 9236
:1,2,4,2309,4618,9236
Greatest Common Factor
We found the factors 3108,9236 . The biggest common factor number is the GCF number.
So the greatest common factor 3108,9236 is 4.
Lets's calculate LCM of 177,9027
| 3 | 177, 9027 |
| 59 | 59, 3009 |
| 1, 51 |
∴ So the LCM of the given numbers is 3 x 59 x 1 x 51 = 9027
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/9027
Therefore, the GCF of Fractions 3108/177,9236/9027 is 4/9027
Least Common Multiple of 177,9027 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 177,9027 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(177,9027) = 177
common factors(in case of two or more numbers have common factors) = 1
GCF(177,9027) x common factors =177 x 1 = 177
LCM(177,9027) = ( 177 × 9027 ) / 177
LCM(177,9027) = 1597779 / 177
LCM(177,9027) = 9027
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3108/177, 9236/9027
1. What is the HCF of 3108,9236?
The HCF of 3108,9236 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 3108/177, 9236/9027?
Answer: GCF of Numerators as per given numbers 3108/177, 9236/9027 is
GCF of Numerators i.e. for 3108,9236 is 4
LCM of denominators i.e. for 177,9027 is 9027.
Thus, GCF of Fractions is 4/9027.Finally, GCF of Fractions for 3108/177, 9236/9027 is 4/9027.