GCF of 7173/737, 8235/852
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7173/737, 8235/852 i.e 9/627924 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7173/737, 8235/852.
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 7173/737,8235/852?
Given fractions are 7173/737,8235/852
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 7173/737,8235/852, numerators are 7173,8235
Denominators are 737,852
The GCF of 7173,8235 is 9 .
LCM of 737,852 is 627924.
The greatest common factor of 7173/737,8235/852 = [GCF of 7173,8235]/[LCM of 737,852]= 9/627924
Therefore, the GCF of 7173/737,8235/852 is 9/627924.
To find the highest common factor of 7173,8235, we have to find the factors of both numbers and list the highest common factor.
The factors of 7173 are 1, 3, 9, 797, 2391, 7173
The factors of 8235 are 1, 3, 5, 9, 15, 27, 45, 61, 135, 183, 305, 549, 915, 1647, 2745, 8235
The HCF of 7173,8235 is 9.
Lets's calculate GCF of 7173,8235
| 3 | 7173, 8235 |
| 3 | 2391, 2745 |
| 797, 915 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 7173,8235 By Matching Biggest Common Factor Method
Now, list down the factors of 7173
:1,3,9,797,2391,7173
Now, list down the factors of 8235
:1,3,5,9,15,27,45,61,135,183,305,549,915,1647,2745,8235
Greatest Common Factor
We found the factors 7173,8235 . The biggest common factor number is the GCF number.
So the greatest common factor 7173,8235 is 9.
Lets's calculate LCM of 737,852
Given numbers has no common factors except 1. So, there LCM is their product i.e 627924
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/627924
Therefore, the GCF of Fractions 7173/737,8235/852 is 9/627924
Least Common Multiple of 737,852 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 737,852 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(737,852) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(737,852) x common factors =1 x 1 = 1
LCM(737,852) = ( 737 × 852 ) / 1
LCM(737,852) = 627924 / 1
LCM(737,852) = 627924
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FAQs on GCF of Fractions of 7173/737, 8235/852
1. What is the HCF of 7173,8235?
The HCF of 7173,8235 is 9
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 7173/737, 8235/852?
Answer: GCF of Numerators as per given numbers 7173/737, 8235/852 is
GCF of Numerators i.e. for 7173,8235 is 9
LCM of denominators i.e. for 737,852 is 627924.
Thus, GCF of Fractions is 9/627924.Finally, GCF of Fractions for 7173/737, 8235/852 is 9/627924.