GCF of 6287/762, 2315/233
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6287/762, 2315/233 i.e 1/177546 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6287/762, 2315/233.
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 6287/762,2315/233?
Given fractions are 6287/762,2315/233
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 6287/762,2315/233, numerators are 6287,2315
Denominators are 762,233
The GCF of 6287,2315 is 1 .
LCM of 762,233 is 177546.
The greatest common factor of 6287/762,2315/233 = [GCF of 6287,2315]/[LCM of 762,233]= 1/177546
Therefore, the GCF of 6287/762,2315/233 is 1/177546.
To find the highest common factor of 6287,2315, we have to find the factors of both numbers and list the highest common factor.
The factors of 6287 are 1, 6287
The factors of 2315 are 1, 5, 463, 2315
The HCF of 6287,2315 is 1.
Lets's calculate GCF of 6287,2315
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6287,2315 By Matching Biggest Common Factor Method
Now, list down the factors of 6287
:1,6287
Now, list down the factors of 2315
:1,5,463,2315
Greatest Common Factor
We found the factors 6287,2315 . The biggest common factor number is the GCF number.
So the greatest common factor 6287,2315 is 1.
Lets's calculate LCM of 762,233
Given numbers has no common factors except 1. So, there LCM is their product i.e 177546
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/177546
Therefore, the GCF of Fractions 6287/762,2315/233 is 1/177546
Least Common Multiple of 762,233 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 762,233 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(762,233) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(762,233) x common factors =1 x 1 = 1
LCM(762,233) = ( 762 × 233 ) / 1
LCM(762,233) = 177546 / 1
LCM(762,233) = 177546
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FAQs on GCF of Fractions of 6287/762, 2315/233
1. What is the HCF of 6287,2315?
The HCF of 6287,2315 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 6287/762, 2315/233?
Answer: GCF of Numerators as per given numbers 6287/762, 2315/233 is
GCF of Numerators i.e. for 6287,2315 is 1
LCM of denominators i.e. for 762,233 is 177546.
Thus, GCF of Fractions is 1/177546.Finally, GCF of Fractions for 6287/762, 2315/233 is 1/177546.