GCF of 6114/765, 3007/5825
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6114/765, 3007/5825 i.e 1/891225 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6114/765, 3007/5825.
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 6114/765,3007/5825?
Given fractions are 6114/765,3007/5825
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 6114/765,3007/5825, numerators are 6114,3007
Denominators are 765,5825
The GCF of 6114,3007 is 1 .
LCM of 765,5825 is 891225.
The greatest common factor of 6114/765,3007/5825 = [GCF of 6114,3007]/[LCM of 765,5825]= 1/891225
Therefore, the GCF of 6114/765,3007/5825 is 1/891225.
To find the highest common factor of 6114,3007, we have to find the factors of both numbers and list the highest common factor.
The factors of 6114 are 1, 2, 3, 6, 1019, 2038, 3057, 6114
The factors of 3007 are 1, 31, 97, 3007
The HCF of 6114,3007 is 1.
Lets's calculate GCF of 6114,3007
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6114,3007 By Matching Biggest Common Factor Method
Now, list down the factors of 6114
:1,2,3,6,1019,2038,3057,6114
Now, list down the factors of 3007
:1,31,97,3007
Greatest Common Factor
We found the factors 6114,3007 . The biggest common factor number is the GCF number.
So the greatest common factor 6114,3007 is 1.
Lets's calculate LCM of 765,5825
| 5 | 765, 5825 |
| 153, 1165 |
∴ So the LCM of the given numbers is 5 x 153 x 1165 = 891225
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/891225
Therefore, the GCF of Fractions 6114/765,3007/5825 is 1/891225
Least Common Multiple of 765,5825 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 765,5825 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(765,5825) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(765,5825) x common factors =5 x 1 = 5
LCM(765,5825) = ( 765 × 5825 ) / 5
LCM(765,5825) = 4456125 / 5
LCM(765,5825) = 891225
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6114/765, 3007/5825
1. What is the HCF of 6114,3007?
The HCF of 6114,3007 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 6114/765, 3007/5825?
Answer: GCF of Numerators as per given numbers 6114/765, 3007/5825 is
GCF of Numerators i.e. for 6114,3007 is 1
LCM of denominators i.e. for 765,5825 is 891225.
Thus, GCF of Fractions is 1/891225.Finally, GCF of Fractions for 6114/765, 3007/5825 is 1/891225.