GCF of 6038/741, 1816/7964
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6038/741, 1816/7964 i.e 2/5901324 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6038/741, 1816/7964.
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 6038/741,1816/7964?
Given fractions are 6038/741,1816/7964
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 6038/741,1816/7964, numerators are 6038,1816
Denominators are 741,7964
The GCF of 6038,1816 is 2 .
LCM of 741,7964 is 5901324.
The greatest common factor of 6038/741,1816/7964 = [GCF of 6038,1816]/[LCM of 741,7964]= 2/5901324
Therefore, the GCF of 6038/741,1816/7964 is 2/5901324.
To find the highest common factor of 6038,1816, we have to find the factors of both numbers and list the highest common factor.
The factors of 6038 are 1, 2, 3019, 6038
The factors of 1816 are 1, 2, 4, 8, 227, 454, 908, 1816
The HCF of 6038,1816 is 2.
Lets's calculate GCF of 6038,1816
| 2 | 6038, 1816 |
| 3019, 908 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6038,1816 By Matching Biggest Common Factor Method
Now, list down the factors of 6038
:1,2,3019,6038
Now, list down the factors of 1816
:1,2,4,8,227,454,908,1816
Greatest Common Factor
We found the factors 6038,1816 . The biggest common factor number is the GCF number.
So the greatest common factor 6038,1816 is 2.
Lets's calculate LCM of 741,7964
Given numbers has no common factors except 1. So, there LCM is their product i.e 5901324
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5901324
Therefore, the GCF of Fractions 6038/741,1816/7964 is 2/5901324
Least Common Multiple of 741,7964 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 741,7964 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(741,7964) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(741,7964) x common factors =1 x 1 = 1
LCM(741,7964) = ( 741 × 7964 ) / 1
LCM(741,7964) = 5901324 / 1
LCM(741,7964) = 5901324
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FAQs on GCF of Fractions of 6038/741, 1816/7964
1. What is the HCF of 6038,1816?
The HCF of 6038,1816 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 6038/741, 1816/7964?
Answer: GCF of Numerators as per given numbers 6038/741, 1816/7964 is
GCF of Numerators i.e. for 6038,1816 is 2
LCM of denominators i.e. for 741,7964 is 5901324.
Thus, GCF of Fractions is 2/5901324.Finally, GCF of Fractions for 6038/741, 1816/7964 is 2/5901324.