GCF of 814/332, 7869/9465
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 814/332, 7869/9465 i.e 1/3142380 easily. The following is the detailed procedure to determine the greatest common factor of fractions 814/332, 7869/9465.
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 814/332,7869/9465?
Given fractions are 814/332,7869/9465
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 814/332,7869/9465, numerators are 814,7869
Denominators are 332,9465
The GCF of 814,7869 is 1 .
LCM of 332,9465 is 3142380.
The greatest common factor of 814/332,7869/9465 = [GCF of 814,7869]/[LCM of 332,9465]= 1/3142380
Therefore, the GCF of 814/332,7869/9465 is 1/3142380.
To find the highest common factor of 814,7869, we have to find the factors of both numbers and list the highest common factor.
The factors of 814 are 1, 2, 11, 22, 37, 74, 407, 814
The factors of 7869 are 1, 3, 43, 61, 129, 183, 2623, 7869
The HCF of 814,7869 is 1.
Lets's calculate GCF of 814,7869
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 814,7869 By Matching Biggest Common Factor Method
Now, list down the factors of 814
:1,2,11,22,37,74,407,814
Now, list down the factors of 7869
:1,3,43,61,129,183,2623,7869
Greatest Common Factor
We found the factors 814,7869 . The biggest common factor number is the GCF number.
So the greatest common factor 814,7869 is 1.
Lets's calculate LCM of 332,9465
Given numbers has no common factors except 1. So, there LCM is their product i.e 3142380
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3142380
Therefore, the GCF of Fractions 814/332,7869/9465 is 1/3142380
Least Common Multiple of 332,9465 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 332,9465 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(332,9465) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(332,9465) x common factors =1 x 1 = 1
LCM(332,9465) = ( 332 × 9465 ) / 1
LCM(332,9465) = 3142380 / 1
LCM(332,9465) = 3142380
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 814/332, 7869/9465
1. What is the HCF of 814,7869?
The HCF of 814,7869 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 814/332, 7869/9465?
Answer: GCF of Numerators as per given numbers 814/332, 7869/9465 is
GCF of Numerators i.e. for 814,7869 is 1
LCM of denominators i.e. for 332,9465 is 3142380.
Thus, GCF of Fractions is 1/3142380.Finally, GCF of Fractions for 814/332, 7869/9465 is 1/3142380.