GCF of 7361/307, 9208/822
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7361/307, 9208/822 i.e 1/252354 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7361/307, 9208/822.
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 7361/307,9208/822?
Given fractions are 7361/307,9208/822
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 7361/307,9208/822, numerators are 7361,9208
Denominators are 307,822
The GCF of 7361,9208 is 1 .
LCM of 307,822 is 252354.
The greatest common factor of 7361/307,9208/822 = [GCF of 7361,9208]/[LCM of 307,822]= 1/252354
Therefore, the GCF of 7361/307,9208/822 is 1/252354.
To find the highest common factor of 7361,9208, we have to find the factors of both numbers and list the highest common factor.
The factors of 7361 are 1, 17, 433, 7361
The factors of 9208 are 1, 2, 4, 8, 1151, 2302, 4604, 9208
The HCF of 7361,9208 is 1.
Lets's calculate GCF of 7361,9208
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7361,9208 By Matching Biggest Common Factor Method
Now, list down the factors of 7361
:1,17,433,7361
Now, list down the factors of 9208
:1,2,4,8,1151,2302,4604,9208
Greatest Common Factor
We found the factors 7361,9208 . The biggest common factor number is the GCF number.
So the greatest common factor 7361,9208 is 1.
Lets's calculate LCM of 307,822
Given numbers has no common factors except 1. So, there LCM is their product i.e 252354
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/252354
Therefore, the GCF of Fractions 7361/307,9208/822 is 1/252354
Least Common Multiple of 307,822 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 307,822 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(307,822) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(307,822) x common factors =1 x 1 = 1
LCM(307,822) = ( 307 × 822 ) / 1
LCM(307,822) = 252354 / 1
LCM(307,822) = 252354
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7361/307, 9208/822
1. What is the HCF of 7361,9208?
The HCF of 7361,9208 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 7361/307, 9208/822?
Answer: GCF of Numerators as per given numbers 7361/307, 9208/822 is
GCF of Numerators i.e. for 7361,9208 is 1
LCM of denominators i.e. for 307,822 is 252354.
Thus, GCF of Fractions is 1/252354.Finally, GCF of Fractions for 7361/307, 9208/822 is 1/252354.