GCF of 2674/395, 5574/9746
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2674/395, 5574/9746 i.e 2/3849670 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2674/395, 5574/9746.
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 2674/395,5574/9746?
Given fractions are 2674/395,5574/9746
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 2674/395,5574/9746, numerators are 2674,5574
Denominators are 395,9746
The GCF of 2674,5574 is 2 .
LCM of 395,9746 is 3849670.
The greatest common factor of 2674/395,5574/9746 = [GCF of 2674,5574]/[LCM of 395,9746]= 2/3849670
Therefore, the GCF of 2674/395,5574/9746 is 2/3849670.
To find the highest common factor of 2674,5574, we have to find the factors of both numbers and list the highest common factor.
The factors of 2674 are 1, 2, 7, 14, 191, 382, 1337, 2674
The factors of 5574 are 1, 2, 3, 6, 929, 1858, 2787, 5574
The HCF of 2674,5574 is 2.
Lets's calculate GCF of 2674,5574
| 2 | 2674, 5574 |
| 1337, 2787 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2674,5574 By Matching Biggest Common Factor Method
Now, list down the factors of 2674
:1,2,7,14,191,382,1337,2674
Now, list down the factors of 5574
:1,2,3,6,929,1858,2787,5574
Greatest Common Factor
We found the factors 2674,5574 . The biggest common factor number is the GCF number.
So the greatest common factor 2674,5574 is 2.
Lets's calculate LCM of 395,9746
Given numbers has no common factors except 1. So, there LCM is their product i.e 3849670
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3849670
Therefore, the GCF of Fractions 2674/395,5574/9746 is 2/3849670
Least Common Multiple of 395,9746 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 395,9746 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(395,9746) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(395,9746) x common factors =1 x 1 = 1
LCM(395,9746) = ( 395 × 9746 ) / 1
LCM(395,9746) = 3849670 / 1
LCM(395,9746) = 3849670
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FAQs on GCF of Fractions of 2674/395, 5574/9746
1. What is the HCF of 2674,5574?
The HCF of 2674,5574 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 2674/395, 5574/9746?
Answer: GCF of Numerators as per given numbers 2674/395, 5574/9746 is
GCF of Numerators i.e. for 2674,5574 is 2
LCM of denominators i.e. for 395,9746 is 3849670.
Thus, GCF of Fractions is 2/3849670.Finally, GCF of Fractions for 2674/395, 5574/9746 is 2/3849670.