GCF of 1301/659, 5912/612
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1301/659, 5912/612 i.e 1/403308 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1301/659, 5912/612.
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 1301/659,5912/612?
Given fractions are 1301/659,5912/612
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 1301/659,5912/612, numerators are 1301,5912
Denominators are 659,612
The GCF of 1301,5912 is 1 .
LCM of 659,612 is 403308.
The greatest common factor of 1301/659,5912/612 = [GCF of 1301,5912]/[LCM of 659,612]= 1/403308
Therefore, the GCF of 1301/659,5912/612 is 1/403308.
To find the highest common factor of 1301,5912, we have to find the factors of both numbers and list the highest common factor.
The factors of 1301 are 1, 1301
The factors of 5912 are 1, 2, 4, 8, 739, 1478, 2956, 5912
The HCF of 1301,5912 is 1.
Lets's calculate GCF of 1301,5912
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1301,5912 By Matching Biggest Common Factor Method
Now, list down the factors of 1301
:1,1301
Now, list down the factors of 5912
:1,2,4,8,739,1478,2956,5912
Greatest Common Factor
We found the factors 1301,5912 . The biggest common factor number is the GCF number.
So the greatest common factor 1301,5912 is 1.
Lets's calculate LCM of 659,612
Given numbers has no common factors except 1. So, there LCM is their product i.e 403308
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/403308
Therefore, the GCF of Fractions 1301/659,5912/612 is 1/403308
Least Common Multiple of 659,612 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 659,612 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(659,612) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(659,612) x common factors =1 x 1 = 1
LCM(659,612) = ( 659 × 612 ) / 1
LCM(659,612) = 403308 / 1
LCM(659,612) = 403308
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1301/659, 5912/612
1. What is the HCF of 1301,5912?
The HCF of 1301,5912 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 1301/659, 5912/612?
Answer: GCF of Numerators as per given numbers 1301/659, 5912/612 is
GCF of Numerators i.e. for 1301,5912 is 1
LCM of denominators i.e. for 659,612 is 403308.
Thus, GCF of Fractions is 1/403308.Finally, GCF of Fractions for 1301/659, 5912/612 is 1/403308.