GCF of 6074/732, 2048/4474
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6074/732, 2048/4474 i.e 2/1637484 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6074/732, 2048/4474.
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 6074/732,2048/4474?
Given fractions are 6074/732,2048/4474
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 6074/732,2048/4474, numerators are 6074,2048
Denominators are 732,4474
The GCF of 6074,2048 is 2 .
LCM of 732,4474 is 1637484.
The greatest common factor of 6074/732,2048/4474 = [GCF of 6074,2048]/[LCM of 732,4474]= 2/1637484
Therefore, the GCF of 6074/732,2048/4474 is 2/1637484.
To find the highest common factor of 6074,2048, we have to find the factors of both numbers and list the highest common factor.
The factors of 6074 are 1, 2, 3037, 6074
The factors of 2048 are 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048
The HCF of 6074,2048 is 2.
Lets's calculate GCF of 6074,2048
| 2 | 6074, 2048 |
| 3037, 1024 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6074,2048 By Matching Biggest Common Factor Method
Now, list down the factors of 6074
:1,2,3037,6074
Now, list down the factors of 2048
:1,2,4,8,16,32,64,128,256,512,1024,2048
Greatest Common Factor
We found the factors 6074,2048 . The biggest common factor number is the GCF number.
So the greatest common factor 6074,2048 is 2.
Lets's calculate LCM of 732,4474
| 2 | 732, 4474 |
| 366, 2237 |
∴ So the LCM of the given numbers is 2 x 366 x 2237 = 1637484
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1637484
Therefore, the GCF of Fractions 6074/732,2048/4474 is 2/1637484
Least Common Multiple of 732,4474 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 732,4474 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(732,4474) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(732,4474) x common factors =2 x 1 = 2
LCM(732,4474) = ( 732 × 4474 ) / 2
LCM(732,4474) = 3274968 / 2
LCM(732,4474) = 1637484
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FAQs on GCF of Fractions of 6074/732, 2048/4474
1. What is the HCF of 6074,2048?
The HCF of 6074,2048 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 6074/732, 2048/4474?
Answer: GCF of Numerators as per given numbers 6074/732, 2048/4474 is
GCF of Numerators i.e. for 6074,2048 is 2
LCM of denominators i.e. for 732,4474 is 1637484.
Thus, GCF of Fractions is 2/1637484.Finally, GCF of Fractions for 6074/732, 2048/4474 is 2/1637484.