GCF of 914/23, 811/114
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 914/23, 811/114 i.e 1/2622 easily. The following is the detailed procedure to determine the greatest common factor of fractions 914/23, 811/114.
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 914/23,811/114?
Given fractions are 914/23,811/114
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 914/23,811/114, numerators are 914,811
Denominators are 23,114
The GCF of 914,811 is 1 .
LCM of 23,114 is 2622.
The greatest common factor of 914/23,811/114 = [GCF of 914,811]/[LCM of 23,114]= 1/2622
Therefore, the GCF of 914/23,811/114 is 1/2622.
To find the highest common factor of 914,811, we have to find the factors of both numbers and list the highest common factor.
The factors of 914 are 1, 2, 457, 914
The factors of 811 are 1, 811
The HCF of 914,811 is 1.
Lets's calculate GCF of 914,811
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 914,811 By Matching Biggest Common Factor Method
Now, list down the factors of 914
:1,2,457,914
Now, list down the factors of 811
:1,811
Greatest Common Factor
We found the factors 914,811 . The biggest common factor number is the GCF number.
So the greatest common factor 914,811 is 1.
Lets's calculate LCM of 23,114
Given numbers has no common factors except 1. So, there LCM is their product i.e 2622
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2622
Therefore, the GCF of Fractions 914/23,811/114 is 1/2622
Least Common Multiple of 23,114 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 23,114 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(23,114) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(23,114) x common factors =1 x 1 = 1
LCM(23,114) = ( 23 × 114 ) / 1
LCM(23,114) = 2622 / 1
LCM(23,114) = 2622
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FAQs on GCF of Fractions of 914/23, 811/114
1. What is the HCF of 914,811?
The HCF of 914,811 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 914/23, 811/114?
Answer: GCF of Numerators as per given numbers 914/23, 811/114 is
GCF of Numerators i.e. for 914,811 is 1
LCM of denominators i.e. for 23,114 is 2622.
Thus, GCF of Fractions is 1/2622.Finally, GCF of Fractions for 914/23, 811/114 is 1/2622.