GCF of 8344/362, 9722/935
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8344/362, 9722/935 i.e 2/338470 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8344/362, 9722/935.
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 8344/362,9722/935?
Given fractions are 8344/362,9722/935
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 8344/362,9722/935, numerators are 8344,9722
Denominators are 362,935
The GCF of 8344,9722 is 2 .
LCM of 362,935 is 338470.
The greatest common factor of 8344/362,9722/935 = [GCF of 8344,9722]/[LCM of 362,935]= 2/338470
Therefore, the GCF of 8344/362,9722/935 is 2/338470.
To find the highest common factor of 8344,9722, we have to find the factors of both numbers and list the highest common factor.
The factors of 8344 are 1, 2, 4, 7, 8, 14, 28, 56, 149, 298, 596, 1043, 1192, 2086, 4172, 8344
The factors of 9722 are 1, 2, 4861, 9722
The HCF of 8344,9722 is 2.
Lets's calculate GCF of 8344,9722
| 2 | 8344, 9722 |
| 4172, 4861 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8344,9722 By Matching Biggest Common Factor Method
Now, list down the factors of 8344
:1,2,4,7,8,14,28,56,149,298,596,1043,1192,2086,4172,8344
Now, list down the factors of 9722
:1,2,4861,9722
Greatest Common Factor
We found the factors 8344,9722 . The biggest common factor number is the GCF number.
So the greatest common factor 8344,9722 is 2.
Lets's calculate LCM of 362,935
Given numbers has no common factors except 1. So, there LCM is their product i.e 338470
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/338470
Therefore, the GCF of Fractions 8344/362,9722/935 is 2/338470
Least Common Multiple of 362,935 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 362,935 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(362,935) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(362,935) x common factors =1 x 1 = 1
LCM(362,935) = ( 362 × 935 ) / 1
LCM(362,935) = 338470 / 1
LCM(362,935) = 338470
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8344/362, 9722/935
1. What is the HCF of 8344,9722?
The HCF of 8344,9722 is 2
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 8344/362, 9722/935?
Answer: GCF of Numerators as per given numbers 8344/362, 9722/935 is
GCF of Numerators i.e. for 8344,9722 is 2
LCM of denominators i.e. for 362,935 is 338470.
Thus, GCF of Fractions is 2/338470.Finally, GCF of Fractions for 8344/362, 9722/935 is 2/338470.