GCF of 7394/642, 1300/5174
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7394/642, 1300/5174 i.e 2/1660854 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7394/642, 1300/5174.
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 7394/642,1300/5174?
Given fractions are 7394/642,1300/5174
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 7394/642,1300/5174, numerators are 7394,1300
Denominators are 642,5174
The GCF of 7394,1300 is 2 .
LCM of 642,5174 is 1660854.
The greatest common factor of 7394/642,1300/5174 = [GCF of 7394,1300]/[LCM of 642,5174]= 2/1660854
Therefore, the GCF of 7394/642,1300/5174 is 2/1660854.
To find the highest common factor of 7394,1300, we have to find the factors of both numbers and list the highest common factor.
The factors of 7394 are 1, 2, 3697, 7394
The factors of 1300 are 1, 2, 4, 5, 10, 13, 20, 25, 26, 50, 52, 65, 100, 130, 260, 325, 650, 1300
The HCF of 7394,1300 is 2.
Lets's calculate GCF of 7394,1300
| 2 | 7394, 1300 |
| 3697, 650 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7394,1300 By Matching Biggest Common Factor Method
Now, list down the factors of 7394
:1,2,3697,7394
Now, list down the factors of 1300
:1,2,4,5,10,13,20,25,26,50,52,65,100,130,260,325,650,1300
Greatest Common Factor
We found the factors 7394,1300 . The biggest common factor number is the GCF number.
So the greatest common factor 7394,1300 is 2.
Lets's calculate LCM of 642,5174
| 2 | 642, 5174 |
| 321, 2587 |
∴ So the LCM of the given numbers is 2 x 321 x 2587 = 1660854
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1660854
Therefore, the GCF of Fractions 7394/642,1300/5174 is 2/1660854
Least Common Multiple of 642,5174 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 642,5174 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(642,5174) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(642,5174) x common factors =2 x 1 = 2
LCM(642,5174) = ( 642 × 5174 ) / 2
LCM(642,5174) = 3321708 / 2
LCM(642,5174) = 1660854
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FAQs on GCF of Fractions of 7394/642, 1300/5174
1. What is the HCF of 7394,1300?
The HCF of 7394,1300 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 7394/642, 1300/5174?
Answer: GCF of Numerators as per given numbers 7394/642, 1300/5174 is
GCF of Numerators i.e. for 7394,1300 is 2
LCM of denominators i.e. for 642,5174 is 1660854.
Thus, GCF of Fractions is 2/1660854.Finally, GCF of Fractions for 7394/642, 1300/5174 is 2/1660854.