GCF of 7143/374, 2346/7594
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7143/374, 2346/7594 i.e 3/1420078 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7143/374, 2346/7594.
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 7143/374,2346/7594?
Given fractions are 7143/374,2346/7594
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 7143/374,2346/7594, numerators are 7143,2346
Denominators are 374,7594
The GCF of 7143,2346 is 3 .
LCM of 374,7594 is 1420078.
The greatest common factor of 7143/374,2346/7594 = [GCF of 7143,2346]/[LCM of 374,7594]= 3/1420078
Therefore, the GCF of 7143/374,2346/7594 is 3/1420078.
To find the highest common factor of 7143,2346, we have to find the factors of both numbers and list the highest common factor.
The factors of 7143 are 1, 3, 2381, 7143
The factors of 2346 are 1, 2, 3, 6, 17, 23, 34, 46, 51, 69, 102, 138, 391, 782, 1173, 2346
The HCF of 7143,2346 is 3.
Lets's calculate GCF of 7143,2346
| 3 | 7143, 2346 |
| 2381, 782 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7143,2346 By Matching Biggest Common Factor Method
Now, list down the factors of 7143
:1,3,2381,7143
Now, list down the factors of 2346
:1,2,3,6,17,23,34,46,51,69,102,138,391,782,1173,2346
Greatest Common Factor
We found the factors 7143,2346 . The biggest common factor number is the GCF number.
So the greatest common factor 7143,2346 is 3.
Lets's calculate LCM of 374,7594
| 2 | 374, 7594 |
| 187, 3797 |
∴ So the LCM of the given numbers is 2 x 187 x 3797 = 1420078
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1420078
Therefore, the GCF of Fractions 7143/374,2346/7594 is 3/1420078
Least Common Multiple of 374,7594 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 374,7594 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(374,7594) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(374,7594) x common factors =2 x 1 = 2
LCM(374,7594) = ( 374 × 7594 ) / 2
LCM(374,7594) = 2840156 / 2
LCM(374,7594) = 1420078
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FAQs on GCF of Fractions of 7143/374, 2346/7594
1. What is the HCF of 7143,2346?
The HCF of 7143,2346 is 3
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 7143/374, 2346/7594?
Answer: GCF of Numerators as per given numbers 7143/374, 2346/7594 is
GCF of Numerators i.e. for 7143,2346 is 3
LCM of denominators i.e. for 374,7594 is 1420078.
Thus, GCF of Fractions is 3/1420078.Finally, GCF of Fractions for 7143/374, 2346/7594 is 3/1420078.