GCF of 6034/174, 2170/2583
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6034/174, 2170/2583 i.e 14/149814 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6034/174, 2170/2583.
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 6034/174,2170/2583?
Given fractions are 6034/174,2170/2583
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 6034/174,2170/2583, numerators are 6034,2170
Denominators are 174,2583
The GCF of 6034,2170 is 14 .
LCM of 174,2583 is 149814.
The greatest common factor of 6034/174,2170/2583 = [GCF of 6034,2170]/[LCM of 174,2583]= 14/149814
Therefore, the GCF of 6034/174,2170/2583 is 14/149814.
To find the highest common factor of 6034,2170, we have to find the factors of both numbers and list the highest common factor.
The factors of 6034 are 1, 2, 7, 14, 431, 862, 3017, 6034
The factors of 2170 are 1, 2, 5, 7, 10, 14, 31, 35, 62, 70, 155, 217, 310, 434, 1085, 2170
The HCF of 6034,2170 is 14.
Lets's calculate GCF of 6034,2170
| 2 | 6034, 2170 |
| 7 | 3017, 1085 |
| 431, 155 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 6034,2170 By Matching Biggest Common Factor Method
Now, list down the factors of 6034
:1,2,7,14,431,862,3017,6034
Now, list down the factors of 2170
:1,2,5,7,10,14,31,35,62,70,155,217,310,434,1085,2170
Greatest Common Factor
We found the factors 6034,2170 . The biggest common factor number is the GCF number.
So the greatest common factor 6034,2170 is 14.
Lets's calculate LCM of 174,2583
| 3 | 174, 2583 |
| 58, 861 |
∴ So the LCM of the given numbers is 3 x 58 x 861 = 149814
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/149814
Therefore, the GCF of Fractions 6034/174,2170/2583 is 14/149814
Least Common Multiple of 174,2583 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 174,2583 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(174,2583) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(174,2583) x common factors =3 x 1 = 3
LCM(174,2583) = ( 174 × 2583 ) / 3
LCM(174,2583) = 449442 / 3
LCM(174,2583) = 149814
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FAQs on GCF of Fractions of 6034/174, 2170/2583
1. What is the HCF of 6034,2170?
The HCF of 6034,2170 is 14
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 6034/174, 2170/2583?
Answer: GCF of Numerators as per given numbers 6034/174, 2170/2583 is
GCF of Numerators i.e. for 6034,2170 is 14
LCM of denominators i.e. for 174,2583 is 149814.
Thus, GCF of Fractions is 14/149814.Finally, GCF of Fractions for 6034/174, 2170/2583 is 14/149814.