GCF of 4237/317, 8523/273
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4237/317, 8523/273 i.e 1/86541 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4237/317, 8523/273.
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 4237/317,8523/273?
Given fractions are 4237/317,8523/273
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 4237/317,8523/273, numerators are 4237,8523
Denominators are 317,273
The GCF of 4237,8523 is 1 .
LCM of 317,273 is 86541.
The greatest common factor of 4237/317,8523/273 = [GCF of 4237,8523]/[LCM of 317,273]= 1/86541
Therefore, the GCF of 4237/317,8523/273 is 1/86541.
To find the highest common factor of 4237,8523, we have to find the factors of both numbers and list the highest common factor.
The factors of 4237 are 1, 19, 223, 4237
The factors of 8523 are 1, 3, 9, 947, 2841, 8523
The HCF of 4237,8523 is 1.
Lets's calculate GCF of 4237,8523
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4237,8523 By Matching Biggest Common Factor Method
Now, list down the factors of 4237
:1,19,223,4237
Now, list down the factors of 8523
:1,3,9,947,2841,8523
Greatest Common Factor
We found the factors 4237,8523 . The biggest common factor number is the GCF number.
So the greatest common factor 4237,8523 is 1.
Lets's calculate LCM of 317,273
Given numbers has no common factors except 1. So, there LCM is their product i.e 86541
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/86541
Therefore, the GCF of Fractions 4237/317,8523/273 is 1/86541
Least Common Multiple of 317,273 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 317,273 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(317,273) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(317,273) x common factors =1 x 1 = 1
LCM(317,273) = ( 317 × 273 ) / 1
LCM(317,273) = 86541 / 1
LCM(317,273) = 86541
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4237/317, 8523/273
1. What is the HCF of 4237,8523?
The HCF of 4237,8523 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 4237/317, 8523/273?
Answer: GCF of Numerators as per given numbers 4237/317, 8523/273 is
GCF of Numerators i.e. for 4237,8523 is 1
LCM of denominators i.e. for 317,273 is 86541.
Thus, GCF of Fractions is 1/86541.Finally, GCF of Fractions for 4237/317, 8523/273 is 1/86541.