GCF of 3767/857, 8622/419
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3767/857, 8622/419 i.e 1/359083 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3767/857, 8622/419.
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 3767/857,8622/419?
Given fractions are 3767/857,8622/419
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 3767/857,8622/419, numerators are 3767,8622
Denominators are 857,419
The GCF of 3767,8622 is 1 .
LCM of 857,419 is 359083.
The greatest common factor of 3767/857,8622/419 = [GCF of 3767,8622]/[LCM of 857,419]= 1/359083
Therefore, the GCF of 3767/857,8622/419 is 1/359083.
To find the highest common factor of 3767,8622, we have to find the factors of both numbers and list the highest common factor.
The factors of 3767 are 1, 3767
The factors of 8622 are 1, 2, 3, 6, 9, 18, 479, 958, 1437, 2874, 4311, 8622
The HCF of 3767,8622 is 1.
Lets's calculate GCF of 3767,8622
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3767,8622 By Matching Biggest Common Factor Method
Now, list down the factors of 3767
:1,3767
Now, list down the factors of 8622
:1,2,3,6,9,18,479,958,1437,2874,4311,8622
Greatest Common Factor
We found the factors 3767,8622 . The biggest common factor number is the GCF number.
So the greatest common factor 3767,8622 is 1.
Lets's calculate LCM of 857,419
Given numbers has no common factors except 1. So, there LCM is their product i.e 359083
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/359083
Therefore, the GCF of Fractions 3767/857,8622/419 is 1/359083
Least Common Multiple of 857,419 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 857,419 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(857,419) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(857,419) x common factors =1 x 1 = 1
LCM(857,419) = ( 857 × 419 ) / 1
LCM(857,419) = 359083 / 1
LCM(857,419) = 359083
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3767/857, 8622/419
1. What is the HCF of 3767,8622?
The HCF of 3767,8622 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 3767/857, 8622/419?
Answer: GCF of Numerators as per given numbers 3767/857, 8622/419 is
GCF of Numerators i.e. for 3767,8622 is 1
LCM of denominators i.e. for 857,419 is 359083.
Thus, GCF of Fractions is 1/359083.Finally, GCF of Fractions for 3767/857, 8622/419 is 1/359083.