GCF of 9173/749, 8024/623
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9173/749, 8024/623 i.e 1/66661 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9173/749, 8024/623.
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 9173/749,8024/623?
Given fractions are 9173/749,8024/623
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 9173/749,8024/623, numerators are 9173,8024
Denominators are 749,623
The GCF of 9173,8024 is 1 .
LCM of 749,623 is 66661.
The greatest common factor of 9173/749,8024/623 = [GCF of 9173,8024]/[LCM of 749,623]= 1/66661
Therefore, the GCF of 9173/749,8024/623 is 1/66661.
To find the highest common factor of 9173,8024, we have to find the factors of both numbers and list the highest common factor.
The factors of 9173 are 1, 9173
The factors of 8024 are 1, 2, 4, 8, 17, 34, 59, 68, 118, 136, 236, 472, 1003, 2006, 4012, 8024
The HCF of 9173,8024 is 1.
Lets's calculate GCF of 9173,8024
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9173,8024 By Matching Biggest Common Factor Method
Now, list down the factors of 9173
:1,9173
Now, list down the factors of 8024
:1,2,4,8,17,34,59,68,118,136,236,472,1003,2006,4012,8024
Greatest Common Factor
We found the factors 9173,8024 . The biggest common factor number is the GCF number.
So the greatest common factor 9173,8024 is 1.
Lets's calculate LCM of 749,623
| 7 | 749, 623 |
| 107, 89 |
∴ So the LCM of the given numbers is 7 x 107 x 89 = 66661
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/66661
Therefore, the GCF of Fractions 9173/749,8024/623 is 1/66661
Least Common Multiple of 749,623 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 749,623 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(749,623) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(749,623) x common factors =7 x 1 = 7
LCM(749,623) = ( 749 × 623 ) / 7
LCM(749,623) = 466627 / 7
LCM(749,623) = 66661
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9173/749, 8024/623
1. What is the HCF of 9173,8024?
The HCF of 9173,8024 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 9173/749, 8024/623?
Answer: GCF of Numerators as per given numbers 9173/749, 8024/623 is
GCF of Numerators i.e. for 9173,8024 is 1
LCM of denominators i.e. for 749,623 is 66661.
Thus, GCF of Fractions is 1/66661.Finally, GCF of Fractions for 9173/749, 8024/623 is 1/66661.