GCF of 7913/305, 5922/7683
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7913/305, 5922/7683 i.e 1/2343315 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7913/305, 5922/7683.
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 7913/305,5922/7683?
Given fractions are 7913/305,5922/7683
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 7913/305,5922/7683, numerators are 7913,5922
Denominators are 305,7683
The GCF of 7913,5922 is 1 .
LCM of 305,7683 is 2343315.
The greatest common factor of 7913/305,5922/7683 = [GCF of 7913,5922]/[LCM of 305,7683]= 1/2343315
Therefore, the GCF of 7913/305,5922/7683 is 1/2343315.
To find the highest common factor of 7913,5922, we have to find the factors of both numbers and list the highest common factor.
The factors of 7913 are 1, 41, 193, 7913
The factors of 5922 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 47, 63, 94, 126, 141, 282, 329, 423, 658, 846, 987, 1974, 2961, 5922
The HCF of 7913,5922 is 1.
Lets's calculate GCF of 7913,5922
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7913,5922 By Matching Biggest Common Factor Method
Now, list down the factors of 7913
:1,41,193,7913
Now, list down the factors of 5922
:1,2,3,6,7,9,14,18,21,42,47,63,94,126,141,282,329,423,658,846,987,1974,2961,5922
Greatest Common Factor
We found the factors 7913,5922 . The biggest common factor number is the GCF number.
So the greatest common factor 7913,5922 is 1.
Lets's calculate LCM of 305,7683
Given numbers has no common factors except 1. So, there LCM is their product i.e 2343315
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2343315
Therefore, the GCF of Fractions 7913/305,5922/7683 is 1/2343315
Least Common Multiple of 305,7683 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 305,7683 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(305,7683) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(305,7683) x common factors =1 x 1 = 1
LCM(305,7683) = ( 305 × 7683 ) / 1
LCM(305,7683) = 2343315 / 1
LCM(305,7683) = 2343315
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7913/305, 5922/7683
1. What is the HCF of 7913,5922?
The HCF of 7913,5922 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 7913/305, 5922/7683?
Answer: GCF of Numerators as per given numbers 7913/305, 5922/7683 is
GCF of Numerators i.e. for 7913,5922 is 1
LCM of denominators i.e. for 305,7683 is 2343315.
Thus, GCF of Fractions is 1/2343315.Finally, GCF of Fractions for 7913/305, 5922/7683 is 1/2343315.