GCF of 4387/854, 6082/318
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4387/854, 6082/318 i.e 1/135786 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4387/854, 6082/318.
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 4387/854,6082/318?
Given fractions are 4387/854,6082/318
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 4387/854,6082/318, numerators are 4387,6082
Denominators are 854,318
The GCF of 4387,6082 is 1 .
LCM of 854,318 is 135786.
The greatest common factor of 4387/854,6082/318 = [GCF of 4387,6082]/[LCM of 854,318]= 1/135786
Therefore, the GCF of 4387/854,6082/318 is 1/135786.
To find the highest common factor of 4387,6082, we have to find the factors of both numbers and list the highest common factor.
The factors of 4387 are 1, 41, 107, 4387
The factors of 6082 are 1, 2, 3041, 6082
The HCF of 4387,6082 is 1.
Lets's calculate GCF of 4387,6082
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4387,6082 By Matching Biggest Common Factor Method
Now, list down the factors of 4387
:1,41,107,4387
Now, list down the factors of 6082
:1,2,3041,6082
Greatest Common Factor
We found the factors 4387,6082 . The biggest common factor number is the GCF number.
So the greatest common factor 4387,6082 is 1.
Lets's calculate LCM of 854,318
| 2 | 854, 318 |
| 427, 159 |
∴ So the LCM of the given numbers is 2 x 427 x 159 = 135786
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/135786
Therefore, the GCF of Fractions 4387/854,6082/318 is 1/135786
Least Common Multiple of 854,318 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 854,318 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(854,318) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(854,318) x common factors =2 x 1 = 2
LCM(854,318) = ( 854 × 318 ) / 2
LCM(854,318) = 271572 / 2
LCM(854,318) = 135786
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FAQs on GCF of Fractions of 4387/854, 6082/318
1. What is the HCF of 4387,6082?
The HCF of 4387,6082 is 1
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 4387/854, 6082/318?
Answer: GCF of Numerators as per given numbers 4387/854, 6082/318 is
GCF of Numerators i.e. for 4387,6082 is 1
LCM of denominators i.e. for 854,318 is 135786.
Thus, GCF of Fractions is 1/135786.Finally, GCF of Fractions for 4387/854, 6082/318 is 1/135786.