GCF of 9406/709, 7063/2181
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9406/709, 7063/2181 i.e 1/1546329 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9406/709, 7063/2181.
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 9406/709,7063/2181?
Given fractions are 9406/709,7063/2181
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 9406/709,7063/2181, numerators are 9406,7063
Denominators are 709,2181
The GCF of 9406,7063 is 1 .
LCM of 709,2181 is 1546329.
The greatest common factor of 9406/709,7063/2181 = [GCF of 9406,7063]/[LCM of 709,2181]= 1/1546329
Therefore, the GCF of 9406/709,7063/2181 is 1/1546329.
To find the highest common factor of 9406,7063, we have to find the factors of both numbers and list the highest common factor.
The factors of 9406 are 1, 2, 4703, 9406
The factors of 7063 are 1, 7, 1009, 7063
The HCF of 9406,7063 is 1.
Lets's calculate GCF of 9406,7063
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9406,7063 By Matching Biggest Common Factor Method
Now, list down the factors of 9406
:1,2,4703,9406
Now, list down the factors of 7063
:1,7,1009,7063
Greatest Common Factor
We found the factors 9406,7063 . The biggest common factor number is the GCF number.
So the greatest common factor 9406,7063 is 1.
Lets's calculate LCM of 709,2181
Given numbers has no common factors except 1. So, there LCM is their product i.e 1546329
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1546329
Therefore, the GCF of Fractions 9406/709,7063/2181 is 1/1546329
Least Common Multiple of 709,2181 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 709,2181 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(709,2181) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(709,2181) x common factors =1 x 1 = 1
LCM(709,2181) = ( 709 × 2181 ) / 1
LCM(709,2181) = 1546329 / 1
LCM(709,2181) = 1546329
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9406/709, 7063/2181
1. What is the HCF of 9406,7063?
The HCF of 9406,7063 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 9406/709, 7063/2181?
Answer: GCF of Numerators as per given numbers 9406/709, 7063/2181 is
GCF of Numerators i.e. for 9406,7063 is 1
LCM of denominators i.e. for 709,2181 is 1546329.
Thus, GCF of Fractions is 1/1546329.Finally, GCF of Fractions for 9406/709, 7063/2181 is 1/1546329.