GCF of 3173/466, 7849/802
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3173/466, 7849/802 i.e 167/186866 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3173/466, 7849/802.
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 3173/466,7849/802?
Given fractions are 3173/466,7849/802
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 3173/466,7849/802, numerators are 3173,7849
Denominators are 466,802
The GCF of 3173,7849 is 167 .
LCM of 466,802 is 186866.
The greatest common factor of 3173/466,7849/802 = [GCF of 3173,7849]/[LCM of 466,802]= 167/186866
Therefore, the GCF of 3173/466,7849/802 is 167/186866.
To find the highest common factor of 3173,7849, we have to find the factors of both numbers and list the highest common factor.
The factors of 3173 are 1, 19, 167, 3173
The factors of 7849 are 1, 47, 167, 7849
The HCF of 3173,7849 is 167.
Lets's calculate GCF of 3173,7849
| 167 | 3173, 7849 |
| 19, 47 |
∴ So the GCF of the given numbers is 167 = 167
Greatest Common Factor of 3173,7849 By Matching Biggest Common Factor Method
Now, list down the factors of 3173
:1,19,167,3173
Now, list down the factors of 7849
:1,47,167,7849
Greatest Common Factor
We found the factors 3173,7849 . The biggest common factor number is the GCF number.
So the greatest common factor 3173,7849 is 167.
Lets's calculate LCM of 466,802
| 2 | 466, 802 |
| 233, 401 |
∴ So the LCM of the given numbers is 2 x 233 x 401 = 186866
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 167/186866
Therefore, the GCF of Fractions 3173/466,7849/802 is 167/186866
Least Common Multiple of 466,802 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 466,802 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(466,802) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(466,802) x common factors =2 x 1 = 2
LCM(466,802) = ( 466 × 802 ) / 2
LCM(466,802) = 373732 / 2
LCM(466,802) = 186866
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3173/466, 7849/802
1. What is the HCF of 3173,7849?
The HCF of 3173,7849 is 167
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 3173/466, 7849/802?
Answer: GCF of Numerators as per given numbers 3173/466, 7849/802 is
GCF of Numerators i.e. for 3173,7849 is 167
LCM of denominators i.e. for 466,802 is 186866.
Thus, GCF of Fractions is 167/186866.Finally, GCF of Fractions for 3173/466, 7849/802 is 167/186866.