GCF of 237/743, 783/857
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 237/743, 783/857 i.e 3/636751 easily. The following is the detailed procedure to determine the greatest common factor of fractions 237/743, 783/857.
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 237/743,783/857?
Given fractions are 237/743,783/857
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 237/743,783/857, numerators are 237,783
Denominators are 743,857
The GCF of 237,783 is 3 .
LCM of 743,857 is 636751.
The greatest common factor of 237/743,783/857 = [GCF of 237,783]/[LCM of 743,857]= 3/636751
Therefore, the GCF of 237/743,783/857 is 3/636751.
To find the highest common factor of 237,783, we have to find the factors of both numbers and list the highest common factor.
The factors of 237 are 1, 3, 79, 237
The factors of 783 are 1, 3, 9, 27, 29, 87, 261, 783
The HCF of 237,783 is 3.
Lets's calculate GCF of 237,783
| 3 | 237, 783 |
| 79, 261 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 237,783 By Matching Biggest Common Factor Method
Now, list down the factors of 237
:1,3,79,237
Now, list down the factors of 783
:1,3,9,27,29,87,261,783
Greatest Common Factor
We found the factors 237,783 . The biggest common factor number is the GCF number.
So the greatest common factor 237,783 is 3.
Lets's calculate LCM of 743,857
Given numbers has no common factors except 1. So, there LCM is their product i.e 636751
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/636751
Therefore, the GCF of Fractions 237/743,783/857 is 3/636751
Least Common Multiple of 743,857 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 743,857 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(743,857) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(743,857) x common factors =1 x 1 = 1
LCM(743,857) = ( 743 × 857 ) / 1
LCM(743,857) = 636751 / 1
LCM(743,857) = 636751
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 237/743, 783/857
1. What is the HCF of 237,783?
The HCF of 237,783 is 3
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 237/743, 783/857?
Answer: GCF of Numerators as per given numbers 237/743, 783/857 is
GCF of Numerators i.e. for 237,783 is 3
LCM of denominators i.e. for 743,857 is 636751.
Thus, GCF of Fractions is 3/636751.Finally, GCF of Fractions for 237/743, 783/857 is 3/636751.