GCF of 4893/946, 3990/9491
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4893/946, 3990/9491 i.e 21/8978486 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4893/946, 3990/9491.
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 4893/946,3990/9491?
Given fractions are 4893/946,3990/9491
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 4893/946,3990/9491, numerators are 4893,3990
Denominators are 946,9491
The GCF of 4893,3990 is 21 .
LCM of 946,9491 is 8978486.
The greatest common factor of 4893/946,3990/9491 = [GCF of 4893,3990]/[LCM of 946,9491]= 21/8978486
Therefore, the GCF of 4893/946,3990/9491 is 21/8978486.
To find the highest common factor of 4893,3990, we have to find the factors of both numbers and list the highest common factor.
The factors of 4893 are 1, 3, 7, 21, 233, 699, 1631, 4893
The factors of 3990 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 19, 21, 30, 35, 38, 42, 57, 70, 95, 105, 114, 133, 190, 210, 266, 285, 399, 570, 665, 798, 1330, 1995, 3990
The HCF of 4893,3990 is 21.
Lets's calculate GCF of 4893,3990
| 3 | 4893, 3990 |
| 7 | 1631, 1330 |
| 233, 190 |
∴ So the GCF of the given numbers is 3 x 7 = 21
Greatest Common Factor of 4893,3990 By Matching Biggest Common Factor Method
Now, list down the factors of 4893
:1,3,7,21,233,699,1631,4893
Now, list down the factors of 3990
:1,2,3,5,6,7,10,14,15,19,21,30,35,38,42,57,70,95,105,114,133,190,210,266,285,399,570,665,798,1330,1995,3990
Greatest Common Factor
We found the factors 4893,3990 . The biggest common factor number is the GCF number.
So the greatest common factor 4893,3990 is 21.
Lets's calculate LCM of 946,9491
Given numbers has no common factors except 1. So, there LCM is their product i.e 8978486
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 21/8978486
Therefore, the GCF of Fractions 4893/946,3990/9491 is 21/8978486
Least Common Multiple of 946,9491 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 946,9491 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(946,9491) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(946,9491) x common factors =1 x 1 = 1
LCM(946,9491) = ( 946 × 9491 ) / 1
LCM(946,9491) = 8978486 / 1
LCM(946,9491) = 8978486
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4893/946, 3990/9491
1. What is the HCF of 4893,3990?
The HCF of 4893,3990 is 21
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 4893/946, 3990/9491?
Answer: GCF of Numerators as per given numbers 4893/946, 3990/9491 is
GCF of Numerators i.e. for 4893,3990 is 21
LCM of denominators i.e. for 946,9491 is 8978486.
Thus, GCF of Fractions is 21/8978486.Finally, GCF of Fractions for 4893/946, 3990/9491 is 21/8978486.