GCF of 8417/361, 6374/7214
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8417/361, 6374/7214 i.e 1/2604254 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8417/361, 6374/7214.
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 8417/361,6374/7214?
Given fractions are 8417/361,6374/7214
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 8417/361,6374/7214, numerators are 8417,6374
Denominators are 361,7214
The GCF of 8417,6374 is 1 .
LCM of 361,7214 is 2604254.
The greatest common factor of 8417/361,6374/7214 = [GCF of 8417,6374]/[LCM of 361,7214]= 1/2604254
Therefore, the GCF of 8417/361,6374/7214 is 1/2604254.
To find the highest common factor of 8417,6374, we have to find the factors of both numbers and list the highest common factor.
The factors of 8417 are 1, 19, 443, 8417
The factors of 6374 are 1, 2, 3187, 6374
The HCF of 8417,6374 is 1.
Lets's calculate GCF of 8417,6374
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8417,6374 By Matching Biggest Common Factor Method
Now, list down the factors of 8417
:1,19,443,8417
Now, list down the factors of 6374
:1,2,3187,6374
Greatest Common Factor
We found the factors 8417,6374 . The biggest common factor number is the GCF number.
So the greatest common factor 8417,6374 is 1.
Lets's calculate LCM of 361,7214
Given numbers has no common factors except 1. So, there LCM is their product i.e 2604254
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2604254
Therefore, the GCF of Fractions 8417/361,6374/7214 is 1/2604254
Least Common Multiple of 361,7214 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 361,7214 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(361,7214) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(361,7214) x common factors =1 x 1 = 1
LCM(361,7214) = ( 361 × 7214 ) / 1
LCM(361,7214) = 2604254 / 1
LCM(361,7214) = 2604254
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8417/361, 6374/7214
1. What is the HCF of 8417,6374?
The HCF of 8417,6374 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 8417/361, 6374/7214?
Answer: GCF of Numerators as per given numbers 8417/361, 6374/7214 is
GCF of Numerators i.e. for 8417,6374 is 1
LCM of denominators i.e. for 361,7214 is 2604254.
Thus, GCF of Fractions is 1/2604254.Finally, GCF of Fractions for 8417/361, 6374/7214 is 1/2604254.