GCF of 9266/289, 9179/719
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9266/289, 9179/719 i.e 1/207791 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9266/289, 9179/719.
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 9266/289,9179/719?
Given fractions are 9266/289,9179/719
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 9266/289,9179/719, numerators are 9266,9179
Denominators are 289,719
The GCF of 9266,9179 is 1 .
LCM of 289,719 is 207791.
The greatest common factor of 9266/289,9179/719 = [GCF of 9266,9179]/[LCM of 289,719]= 1/207791
Therefore, the GCF of 9266/289,9179/719 is 1/207791.
To find the highest common factor of 9266,9179, we have to find the factors of both numbers and list the highest common factor.
The factors of 9266 are 1, 2, 41, 82, 113, 226, 4633, 9266
The factors of 9179 are 1, 67, 137, 9179
The HCF of 9266,9179 is 1.
Lets's calculate GCF of 9266,9179
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9266,9179 By Matching Biggest Common Factor Method
Now, list down the factors of 9266
:1,2,41,82,113,226,4633,9266
Now, list down the factors of 9179
:1,67,137,9179
Greatest Common Factor
We found the factors 9266,9179 . The biggest common factor number is the GCF number.
So the greatest common factor 9266,9179 is 1.
Lets's calculate LCM of 289,719
Given numbers has no common factors except 1. So, there LCM is their product i.e 207791
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/207791
Therefore, the GCF of Fractions 9266/289,9179/719 is 1/207791
Least Common Multiple of 289,719 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 289,719 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(289,719) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(289,719) x common factors =1 x 1 = 1
LCM(289,719) = ( 289 × 719 ) / 1
LCM(289,719) = 207791 / 1
LCM(289,719) = 207791
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FAQs on GCF of Fractions of 9266/289, 9179/719
1. What is the HCF of 9266,9179?
The HCF of 9266,9179 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 9266/289, 9179/719?
Answer: GCF of Numerators as per given numbers 9266/289, 9179/719 is
GCF of Numerators i.e. for 9266,9179 is 1
LCM of denominators i.e. for 289,719 is 207791.
Thus, GCF of Fractions is 1/207791.Finally, GCF of Fractions for 9266/289, 9179/719 is 1/207791.