GCF of 8631/678, 2141/3190
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8631/678, 2141/3190 i.e 1/1081410 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8631/678, 2141/3190.
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 8631/678,2141/3190?
Given fractions are 8631/678,2141/3190
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 8631/678,2141/3190, numerators are 8631,2141
Denominators are 678,3190
The GCF of 8631,2141 is 1 .
LCM of 678,3190 is 1081410.
The greatest common factor of 8631/678,2141/3190 = [GCF of 8631,2141]/[LCM of 678,3190]= 1/1081410
Therefore, the GCF of 8631/678,2141/3190 is 1/1081410.
To find the highest common factor of 8631,2141, we have to find the factors of both numbers and list the highest common factor.
The factors of 8631 are 1, 3, 7, 9, 21, 63, 137, 411, 959, 1233, 2877, 8631
The factors of 2141 are 1, 2141
The HCF of 8631,2141 is 1.
Lets's calculate GCF of 8631,2141
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8631,2141 By Matching Biggest Common Factor Method
Now, list down the factors of 8631
:1,3,7,9,21,63,137,411,959,1233,2877,8631
Now, list down the factors of 2141
:1,2141
Greatest Common Factor
We found the factors 8631,2141 . The biggest common factor number is the GCF number.
So the greatest common factor 8631,2141 is 1.
Lets's calculate LCM of 678,3190
| 2 | 678, 3190 |
| 339, 1595 |
∴ So the LCM of the given numbers is 2 x 339 x 1595 = 1081410
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1081410
Therefore, the GCF of Fractions 8631/678,2141/3190 is 1/1081410
Least Common Multiple of 678,3190 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 678,3190 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(678,3190) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(678,3190) x common factors =2 x 1 = 2
LCM(678,3190) = ( 678 × 3190 ) / 2
LCM(678,3190) = 2162820 / 2
LCM(678,3190) = 1081410
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8631/678, 2141/3190
1. What is the HCF of 8631,2141?
The HCF of 8631,2141 is 1
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 8631/678, 2141/3190?
Answer: GCF of Numerators as per given numbers 8631/678, 2141/3190 is
GCF of Numerators i.e. for 8631,2141 is 1
LCM of denominators i.e. for 678,3190 is 1081410.
Thus, GCF of Fractions is 1/1081410.Finally, GCF of Fractions for 8631/678, 2141/3190 is 1/1081410.