GCF of 4878/687, 9156/4634
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4878/687, 9156/4634 i.e 6/3183558 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4878/687, 9156/4634.
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 4878/687,9156/4634?
Given fractions are 4878/687,9156/4634
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 4878/687,9156/4634, numerators are 4878,9156
Denominators are 687,4634
The GCF of 4878,9156 is 6 .
LCM of 687,4634 is 3183558.
The greatest common factor of 4878/687,9156/4634 = [GCF of 4878,9156]/[LCM of 687,4634]= 6/3183558
Therefore, the GCF of 4878/687,9156/4634 is 6/3183558.
To find the highest common factor of 4878,9156, we have to find the factors of both numbers and list the highest common factor.
The factors of 4878 are 1, 2, 3, 6, 9, 18, 271, 542, 813, 1626, 2439, 4878
The factors of 9156 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 109, 218, 327, 436, 654, 763, 1308, 1526, 2289, 3052, 4578, 9156
The HCF of 4878,9156 is 6.
Lets's calculate GCF of 4878,9156
| 2 | 4878, 9156 |
| 3 | 2439, 4578 |
| 813, 1526 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 4878,9156 By Matching Biggest Common Factor Method
Now, list down the factors of 4878
:1,2,3,6,9,18,271,542,813,1626,2439,4878
Now, list down the factors of 9156
:1,2,3,4,6,7,12,14,21,28,42,84,109,218,327,436,654,763,1308,1526,2289,3052,4578,9156
Greatest Common Factor
We found the factors 4878,9156 . The biggest common factor number is the GCF number.
So the greatest common factor 4878,9156 is 6.
Lets's calculate LCM of 687,4634
Given numbers has no common factors except 1. So, there LCM is their product i.e 3183558
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/3183558
Therefore, the GCF of Fractions 4878/687,9156/4634 is 6/3183558
Least Common Multiple of 687,4634 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 687,4634 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(687,4634) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(687,4634) x common factors =1 x 1 = 1
LCM(687,4634) = ( 687 × 4634 ) / 1
LCM(687,4634) = 3183558 / 1
LCM(687,4634) = 3183558
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FAQs on GCF of Fractions of 4878/687, 9156/4634
1. What is the HCF of 4878,9156?
The HCF of 4878,9156 is 6
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 4878/687, 9156/4634?
Answer: GCF of Numerators as per given numbers 4878/687, 9156/4634 is
GCF of Numerators i.e. for 4878,9156 is 6
LCM of denominators i.e. for 687,4634 is 3183558.
Thus, GCF of Fractions is 6/3183558.Finally, GCF of Fractions for 4878/687, 9156/4634 is 6/3183558.