GCF of 1135/861, 8742/2863
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1135/861, 8742/2863 i.e 1/352149 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1135/861, 8742/2863.
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 1135/861,8742/2863?
Given fractions are 1135/861,8742/2863
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 1135/861,8742/2863, numerators are 1135,8742
Denominators are 861,2863
The GCF of 1135,8742 is 1 .
LCM of 861,2863 is 352149.
The greatest common factor of 1135/861,8742/2863 = [GCF of 1135,8742]/[LCM of 861,2863]= 1/352149
Therefore, the GCF of 1135/861,8742/2863 is 1/352149.
To find the highest common factor of 1135,8742, we have to find the factors of both numbers and list the highest common factor.
The factors of 1135 are 1, 5, 227, 1135
The factors of 8742 are 1, 2, 3, 6, 31, 47, 62, 93, 94, 141, 186, 282, 1457, 2914, 4371, 8742
The HCF of 1135,8742 is 1.
Lets's calculate GCF of 1135,8742
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1135,8742 By Matching Biggest Common Factor Method
Now, list down the factors of 1135
:1,5,227,1135
Now, list down the factors of 8742
:1,2,3,6,31,47,62,93,94,141,186,282,1457,2914,4371,8742
Greatest Common Factor
We found the factors 1135,8742 . The biggest common factor number is the GCF number.
So the greatest common factor 1135,8742 is 1.
Lets's calculate LCM of 861,2863
| 7 | 861, 2863 |
| 123, 409 |
∴ So the LCM of the given numbers is 7 x 123 x 409 = 352149
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/352149
Therefore, the GCF of Fractions 1135/861,8742/2863 is 1/352149
Least Common Multiple of 861,2863 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 861,2863 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(861,2863) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(861,2863) x common factors =7 x 1 = 7
LCM(861,2863) = ( 861 × 2863 ) / 7
LCM(861,2863) = 2465043 / 7
LCM(861,2863) = 352149
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1135/861, 8742/2863
1. What is the HCF of 1135,8742?
The HCF of 1135,8742 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 1135/861, 8742/2863?
Answer: GCF of Numerators as per given numbers 1135/861, 8742/2863 is
GCF of Numerators i.e. for 1135,8742 is 1
LCM of denominators i.e. for 861,2863 is 352149.
Thus, GCF of Fractions is 1/352149.Finally, GCF of Fractions for 1135/861, 8742/2863 is 1/352149.