GCF of 8878/591, 9176/2454
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8878/591, 9176/2454 i.e 2/483438 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8878/591, 9176/2454.
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 8878/591,9176/2454?
Given fractions are 8878/591,9176/2454
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 8878/591,9176/2454, numerators are 8878,9176
Denominators are 591,2454
The GCF of 8878,9176 is 2 .
LCM of 591,2454 is 483438.
The greatest common factor of 8878/591,9176/2454 = [GCF of 8878,9176]/[LCM of 591,2454]= 2/483438
Therefore, the GCF of 8878/591,9176/2454 is 2/483438.
To find the highest common factor of 8878,9176, we have to find the factors of both numbers and list the highest common factor.
The factors of 8878 are 1, 2, 23, 46, 193, 386, 4439, 8878
The factors of 9176 are 1, 2, 4, 8, 31, 37, 62, 74, 124, 148, 248, 296, 1147, 2294, 4588, 9176
The HCF of 8878,9176 is 2.
Lets's calculate GCF of 8878,9176
| 2 | 8878, 9176 |
| 4439, 4588 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8878,9176 By Matching Biggest Common Factor Method
Now, list down the factors of 8878
:1,2,23,46,193,386,4439,8878
Now, list down the factors of 9176
:1,2,4,8,31,37,62,74,124,148,248,296,1147,2294,4588,9176
Greatest Common Factor
We found the factors 8878,9176 . The biggest common factor number is the GCF number.
So the greatest common factor 8878,9176 is 2.
Lets's calculate LCM of 591,2454
| 3 | 591, 2454 |
| 197, 818 |
∴ So the LCM of the given numbers is 3 x 197 x 818 = 483438
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/483438
Therefore, the GCF of Fractions 8878/591,9176/2454 is 2/483438
Least Common Multiple of 591,2454 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 591,2454 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(591,2454) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(591,2454) x common factors =3 x 1 = 3
LCM(591,2454) = ( 591 × 2454 ) / 3
LCM(591,2454) = 1450314 / 3
LCM(591,2454) = 483438
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FAQs on GCF of Fractions of 8878/591, 9176/2454
1. What is the HCF of 8878,9176?
The HCF of 8878,9176 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 8878/591, 9176/2454?
Answer: GCF of Numerators as per given numbers 8878/591, 9176/2454 is
GCF of Numerators i.e. for 8878,9176 is 2
LCM of denominators i.e. for 591,2454 is 483438.
Thus, GCF of Fractions is 2/483438.Finally, GCF of Fractions for 8878/591, 9176/2454 is 2/483438.