GCF of 961/813, 830/986
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 961/813, 830/986 i.e 1/801618 easily. The following is the detailed procedure to determine the greatest common factor of fractions 961/813, 830/986.
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 961/813,830/986?
Given fractions are 961/813,830/986
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 961/813,830/986, numerators are 961,830
Denominators are 813,986
The GCF of 961,830 is 1 .
LCM of 813,986 is 801618.
The greatest common factor of 961/813,830/986 = [GCF of 961,830]/[LCM of 813,986]= 1/801618
Therefore, the GCF of 961/813,830/986 is 1/801618.
To find the highest common factor of 961,830, we have to find the factors of both numbers and list the highest common factor.
The factors of 961 are 1, 31, 961
The factors of 830 are 1, 2, 5, 10, 83, 166, 415, 830
The HCF of 961,830 is 1.
Lets's calculate GCF of 961,830
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 961,830 By Matching Biggest Common Factor Method
Now, list down the factors of 961
:1,31,961
Now, list down the factors of 830
:1,2,5,10,83,166,415,830
Greatest Common Factor
We found the factors 961,830 . The biggest common factor number is the GCF number.
So the greatest common factor 961,830 is 1.
Lets's calculate LCM of 813,986
Given numbers has no common factors except 1. So, there LCM is their product i.e 801618
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/801618
Therefore, the GCF of Fractions 961/813,830/986 is 1/801618
Least Common Multiple of 813,986 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 813,986 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(813,986) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(813,986) x common factors =1 x 1 = 1
LCM(813,986) = ( 813 × 986 ) / 1
LCM(813,986) = 801618 / 1
LCM(813,986) = 801618
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 961/813, 830/986
1. What is the HCF of 961,830?
The HCF of 961,830 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 961/813, 830/986?
Answer: GCF of Numerators as per given numbers 961/813, 830/986 is
GCF of Numerators i.e. for 961,830 is 1
LCM of denominators i.e. for 813,986 is 801618.
Thus, GCF of Fractions is 1/801618.Finally, GCF of Fractions for 961/813, 830/986 is 1/801618.