GCF of 9638/426, 5602/322
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9638/426, 5602/322 i.e 2/68586 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9638/426, 5602/322.
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 9638/426,5602/322?
Given fractions are 9638/426,5602/322
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 9638/426,5602/322, numerators are 9638,5602
Denominators are 426,322
The GCF of 9638,5602 is 2 .
LCM of 426,322 is 68586.
The greatest common factor of 9638/426,5602/322 = [GCF of 9638,5602]/[LCM of 426,322]= 2/68586
Therefore, the GCF of 9638/426,5602/322 is 2/68586.
To find the highest common factor of 9638,5602, we have to find the factors of both numbers and list the highest common factor.
The factors of 9638 are 1, 2, 61, 79, 122, 158, 4819, 9638
The factors of 5602 are 1, 2, 2801, 5602
The HCF of 9638,5602 is 2.
Lets's calculate GCF of 9638,5602
| 2 | 9638, 5602 |
| 4819, 2801 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9638,5602 By Matching Biggest Common Factor Method
Now, list down the factors of 9638
:1,2,61,79,122,158,4819,9638
Now, list down the factors of 5602
:1,2,2801,5602
Greatest Common Factor
We found the factors 9638,5602 . The biggest common factor number is the GCF number.
So the greatest common factor 9638,5602 is 2.
Lets's calculate LCM of 426,322
| 2 | 426, 322 |
| 213, 161 |
∴ So the LCM of the given numbers is 2 x 213 x 161 = 68586
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/68586
Therefore, the GCF of Fractions 9638/426,5602/322 is 2/68586
Least Common Multiple of 426,322 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 426,322 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(426,322) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(426,322) x common factors =2 x 1 = 2
LCM(426,322) = ( 426 × 322 ) / 2
LCM(426,322) = 137172 / 2
LCM(426,322) = 68586
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9638/426, 5602/322
1. What is the HCF of 9638,5602?
The HCF of 9638,5602 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 9638/426, 5602/322?
Answer: GCF of Numerators as per given numbers 9638/426, 5602/322 is
GCF of Numerators i.e. for 9638,5602 is 2
LCM of denominators i.e. for 426,322 is 68586.
Thus, GCF of Fractions is 2/68586.Finally, GCF of Fractions for 9638/426, 5602/322 is 2/68586.