GCF of 6082/854, 4912/3716
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6082/854, 4912/3716 i.e 2/1586732 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6082/854, 4912/3716.
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 6082/854,4912/3716?
Given fractions are 6082/854,4912/3716
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 6082/854,4912/3716, numerators are 6082,4912
Denominators are 854,3716
The GCF of 6082,4912 is 2 .
LCM of 854,3716 is 1586732.
The greatest common factor of 6082/854,4912/3716 = [GCF of 6082,4912]/[LCM of 854,3716]= 2/1586732
Therefore, the GCF of 6082/854,4912/3716 is 2/1586732.
To find the highest common factor of 6082,4912, we have to find the factors of both numbers and list the highest common factor.
The factors of 6082 are 1, 2, 3041, 6082
The factors of 4912 are 1, 2, 4, 8, 16, 307, 614, 1228, 2456, 4912
The HCF of 6082,4912 is 2.
Lets's calculate GCF of 6082,4912
| 2 | 6082, 4912 |
| 3041, 2456 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6082,4912 By Matching Biggest Common Factor Method
Now, list down the factors of 6082
:1,2,3041,6082
Now, list down the factors of 4912
:1,2,4,8,16,307,614,1228,2456,4912
Greatest Common Factor
We found the factors 6082,4912 . The biggest common factor number is the GCF number.
So the greatest common factor 6082,4912 is 2.
Lets's calculate LCM of 854,3716
| 2 | 854, 3716 |
| 427, 1858 |
∴ So the LCM of the given numbers is 2 x 427 x 1858 = 1586732
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1586732
Therefore, the GCF of Fractions 6082/854,4912/3716 is 2/1586732
Least Common Multiple of 854,3716 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 854,3716 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(854,3716) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(854,3716) x common factors =2 x 1 = 2
LCM(854,3716) = ( 854 × 3716 ) / 2
LCM(854,3716) = 3173464 / 2
LCM(854,3716) = 1586732
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FAQs on GCF of Fractions of 6082/854, 4912/3716
1. What is the HCF of 6082,4912?
The HCF of 6082,4912 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 6082/854, 4912/3716?
Answer: GCF of Numerators as per given numbers 6082/854, 4912/3716 is
GCF of Numerators i.e. for 6082,4912 is 2
LCM of denominators i.e. for 854,3716 is 1586732.
Thus, GCF of Fractions is 2/1586732.Finally, GCF of Fractions for 6082/854, 4912/3716 is 2/1586732.