GCF of 310/81, 689/922
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 310/81, 689/922 i.e 1/74682 easily. The following is the detailed procedure to determine the greatest common factor of fractions 310/81, 689/922.
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 310/81,689/922?
Given fractions are 310/81,689/922
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 310/81,689/922, numerators are 310,689
Denominators are 81,922
The GCF of 310,689 is 1 .
LCM of 81,922 is 74682.
The greatest common factor of 310/81,689/922 = [GCF of 310,689]/[LCM of 81,922]= 1/74682
Therefore, the GCF of 310/81,689/922 is 1/74682.
To find the highest common factor of 310,689, we have to find the factors of both numbers and list the highest common factor.
The factors of 310 are 1, 2, 5, 10, 31, 62, 155, 310
The factors of 689 are 1, 13, 53, 689
The HCF of 310,689 is 1.
Lets's calculate GCF of 310,689
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 310,689 By Matching Biggest Common Factor Method
Now, list down the factors of 310
:1,2,5,10,31,62,155,310
Now, list down the factors of 689
:1,13,53,689
Greatest Common Factor
We found the factors 310,689 . The biggest common factor number is the GCF number.
So the greatest common factor 310,689 is 1.
Lets's calculate LCM of 81,922
Given numbers has no common factors except 1. So, there LCM is their product i.e 74682
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/74682
Therefore, the GCF of Fractions 310/81,689/922 is 1/74682
Least Common Multiple of 81,922 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 81,922 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(81,922) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(81,922) x common factors =1 x 1 = 1
LCM(81,922) = ( 81 × 922 ) / 1
LCM(81,922) = 74682 / 1
LCM(81,922) = 74682
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FAQs on GCF of Fractions of 310/81, 689/922
1. What is the HCF of 310,689?
The HCF of 310,689 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 310/81, 689/922?
Answer: GCF of Numerators as per given numbers 310/81, 689/922 is
GCF of Numerators i.e. for 310,689 is 1
LCM of denominators i.e. for 81,922 is 74682.
Thus, GCF of Fractions is 1/74682.Finally, GCF of Fractions for 310/81, 689/922 is 1/74682.