GCF of 9256/435, 1554/975
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9256/435, 1554/975 i.e 2/28275 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9256/435, 1554/975.
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 9256/435,1554/975?
Given fractions are 9256/435,1554/975
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 9256/435,1554/975, numerators are 9256,1554
Denominators are 435,975
The GCF of 9256,1554 is 2 .
LCM of 435,975 is 28275.
The greatest common factor of 9256/435,1554/975 = [GCF of 9256,1554]/[LCM of 435,975]= 2/28275
Therefore, the GCF of 9256/435,1554/975 is 2/28275.
To find the highest common factor of 9256,1554, we have to find the factors of both numbers and list the highest common factor.
The factors of 9256 are 1, 2, 4, 8, 13, 26, 52, 89, 104, 178, 356, 712, 1157, 2314, 4628, 9256
The factors of 1554 are 1, 2, 3, 6, 7, 14, 21, 37, 42, 74, 111, 222, 259, 518, 777, 1554
The HCF of 9256,1554 is 2.
Lets's calculate GCF of 9256,1554
| 2 | 9256, 1554 |
| 4628, 777 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9256,1554 By Matching Biggest Common Factor Method
Now, list down the factors of 9256
:1,2,4,8,13,26,52,89,104,178,356,712,1157,2314,4628,9256
Now, list down the factors of 1554
:1,2,3,6,7,14,21,37,42,74,111,222,259,518,777,1554
Greatest Common Factor
We found the factors 9256,1554 . The biggest common factor number is the GCF number.
So the greatest common factor 9256,1554 is 2.
Lets's calculate LCM of 435,975
| 3 | 435, 975 |
| 5 | 145, 325 |
| 29, 65 |
∴ So the LCM of the given numbers is 3 x 5 x 29 x 65 = 28275
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/28275
Therefore, the GCF of Fractions 9256/435,1554/975 is 2/28275
Least Common Multiple of 435,975 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 435,975 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(435,975) = 15
common factors(in case of two or more numbers have common factors) = 1
GCF(435,975) x common factors =15 x 1 = 15
LCM(435,975) = ( 435 × 975 ) / 15
LCM(435,975) = 424125 / 15
LCM(435,975) = 28275
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9256/435, 1554/975
1. What is the HCF of 9256,1554?
The HCF of 9256,1554 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 9256/435, 1554/975?
Answer: GCF of Numerators as per given numbers 9256/435, 1554/975 is
GCF of Numerators i.e. for 9256,1554 is 2
LCM of denominators i.e. for 435,975 is 28275.
Thus, GCF of Fractions is 2/28275.Finally, GCF of Fractions for 9256/435, 1554/975 is 2/28275.