GCF of 7684/605, 8237/4397
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7684/605, 8237/4397 i.e 1/2660185 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7684/605, 8237/4397.
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 7684/605,8237/4397?
Given fractions are 7684/605,8237/4397
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 7684/605,8237/4397, numerators are 7684,8237
Denominators are 605,4397
The GCF of 7684,8237 is 1 .
LCM of 605,4397 is 2660185.
The greatest common factor of 7684/605,8237/4397 = [GCF of 7684,8237]/[LCM of 605,4397]= 1/2660185
Therefore, the GCF of 7684/605,8237/4397 is 1/2660185.
To find the highest common factor of 7684,8237, we have to find the factors of both numbers and list the highest common factor.
The factors of 7684 are 1, 2, 4, 17, 34, 68, 113, 226, 452, 1921, 3842, 7684
The factors of 8237 are 1, 8237
The HCF of 7684,8237 is 1.
Lets's calculate GCF of 7684,8237
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7684,8237 By Matching Biggest Common Factor Method
Now, list down the factors of 7684
:1,2,4,17,34,68,113,226,452,1921,3842,7684
Now, list down the factors of 8237
:1,8237
Greatest Common Factor
We found the factors 7684,8237 . The biggest common factor number is the GCF number.
So the greatest common factor 7684,8237 is 1.
Lets's calculate LCM of 605,4397
Given numbers has no common factors except 1. So, there LCM is their product i.e 2660185
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2660185
Therefore, the GCF of Fractions 7684/605,8237/4397 is 1/2660185
Least Common Multiple of 605,4397 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 605,4397 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(605,4397) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(605,4397) x common factors =1 x 1 = 1
LCM(605,4397) = ( 605 × 4397 ) / 1
LCM(605,4397) = 2660185 / 1
LCM(605,4397) = 2660185
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FAQs on GCF of Fractions of 7684/605, 8237/4397
1. What is the HCF of 7684,8237?
The HCF of 7684,8237 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 7684/605, 8237/4397?
Answer: GCF of Numerators as per given numbers 7684/605, 8237/4397 is
GCF of Numerators i.e. for 7684,8237 is 1
LCM of denominators i.e. for 605,4397 is 2660185.
Thus, GCF of Fractions is 1/2660185.Finally, GCF of Fractions for 7684/605, 8237/4397 is 1/2660185.