GCF of 1046/446, 2694/2462
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1046/446, 2694/2462 i.e 2/549026 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1046/446, 2694/2462.
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 1046/446,2694/2462?
Given fractions are 1046/446,2694/2462
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 1046/446,2694/2462, numerators are 1046,2694
Denominators are 446,2462
The GCF of 1046,2694 is 2 .
LCM of 446,2462 is 549026.
The greatest common factor of 1046/446,2694/2462 = [GCF of 1046,2694]/[LCM of 446,2462]= 2/549026
Therefore, the GCF of 1046/446,2694/2462 is 2/549026.
To find the highest common factor of 1046,2694, we have to find the factors of both numbers and list the highest common factor.
The factors of 1046 are 1, 2, 523, 1046
The factors of 2694 are 1, 2, 3, 6, 449, 898, 1347, 2694
The HCF of 1046,2694 is 2.
Lets's calculate GCF of 1046,2694
| 2 | 1046, 2694 |
| 523, 1347 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1046,2694 By Matching Biggest Common Factor Method
Now, list down the factors of 1046
:1,2,523,1046
Now, list down the factors of 2694
:1,2,3,6,449,898,1347,2694
Greatest Common Factor
We found the factors 1046,2694 . The biggest common factor number is the GCF number.
So the greatest common factor 1046,2694 is 2.
Lets's calculate LCM of 446,2462
| 2 | 446, 2462 |
| 223, 1231 |
∴ So the LCM of the given numbers is 2 x 223 x 1231 = 549026
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/549026
Therefore, the GCF of Fractions 1046/446,2694/2462 is 2/549026
Least Common Multiple of 446,2462 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 446,2462 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(446,2462) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(446,2462) x common factors =2 x 1 = 2
LCM(446,2462) = ( 446 × 2462 ) / 2
LCM(446,2462) = 1098052 / 2
LCM(446,2462) = 549026
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FAQs on GCF of Fractions of 1046/446, 2694/2462
1. What is the HCF of 1046,2694?
The HCF of 1046,2694 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 1046/446, 2694/2462?
Answer: GCF of Numerators as per given numbers 1046/446, 2694/2462 is
GCF of Numerators i.e. for 1046,2694 is 2
LCM of denominators i.e. for 446,2462 is 549026.
Thus, GCF of Fractions is 2/549026.Finally, GCF of Fractions for 1046/446, 2694/2462 is 2/549026.