GCF of 4722/182, 8402/3174
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4722/182, 8402/3174 i.e 2/288834 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4722/182, 8402/3174.
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 4722/182,8402/3174?
Given fractions are 4722/182,8402/3174
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 4722/182,8402/3174, numerators are 4722,8402
Denominators are 182,3174
The GCF of 4722,8402 is 2 .
LCM of 182,3174 is 288834.
The greatest common factor of 4722/182,8402/3174 = [GCF of 4722,8402]/[LCM of 182,3174]= 2/288834
Therefore, the GCF of 4722/182,8402/3174 is 2/288834.
To find the highest common factor of 4722,8402, we have to find the factors of both numbers and list the highest common factor.
The factors of 4722 are 1, 2, 3, 6, 787, 1574, 2361, 4722
The factors of 8402 are 1, 2, 4201, 8402
The HCF of 4722,8402 is 2.
Lets's calculate GCF of 4722,8402
| 2 | 4722, 8402 |
| 2361, 4201 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4722,8402 By Matching Biggest Common Factor Method
Now, list down the factors of 4722
:1,2,3,6,787,1574,2361,4722
Now, list down the factors of 8402
:1,2,4201,8402
Greatest Common Factor
We found the factors 4722,8402 . The biggest common factor number is the GCF number.
So the greatest common factor 4722,8402 is 2.
Lets's calculate LCM of 182,3174
| 2 | 182, 3174 |
| 91, 1587 |
∴ So the LCM of the given numbers is 2 x 91 x 1587 = 288834
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/288834
Therefore, the GCF of Fractions 4722/182,8402/3174 is 2/288834
Least Common Multiple of 182,3174 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 182,3174 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(182,3174) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(182,3174) x common factors =2 x 1 = 2
LCM(182,3174) = ( 182 × 3174 ) / 2
LCM(182,3174) = 577668 / 2
LCM(182,3174) = 288834
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FAQs on GCF of Fractions of 4722/182, 8402/3174
1. What is the HCF of 4722,8402?
The HCF of 4722,8402 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 4722/182, 8402/3174?
Answer: GCF of Numerators as per given numbers 4722/182, 8402/3174 is
GCF of Numerators i.e. for 4722,8402 is 2
LCM of denominators i.e. for 182,3174 is 288834.
Thus, GCF of Fractions is 2/288834.Finally, GCF of Fractions for 4722/182, 8402/3174 is 2/288834.