GCF of 6861/361, 3053/285
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6861/361, 3053/285 i.e 1/5415 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6861/361, 3053/285.
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 6861/361,3053/285?
Given fractions are 6861/361,3053/285
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 6861/361,3053/285, numerators are 6861,3053
Denominators are 361,285
The GCF of 6861,3053 is 1 .
LCM of 361,285 is 5415.
The greatest common factor of 6861/361,3053/285 = [GCF of 6861,3053]/[LCM of 361,285]= 1/5415
Therefore, the GCF of 6861/361,3053/285 is 1/5415.
To find the highest common factor of 6861,3053, we have to find the factors of both numbers and list the highest common factor.
The factors of 6861 are 1, 3, 2287, 6861
The factors of 3053 are 1, 43, 71, 3053
The HCF of 6861,3053 is 1.
Lets's calculate GCF of 6861,3053
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6861,3053 By Matching Biggest Common Factor Method
Now, list down the factors of 6861
:1,3,2287,6861
Now, list down the factors of 3053
:1,43,71,3053
Greatest Common Factor
We found the factors 6861,3053 . The biggest common factor number is the GCF number.
So the greatest common factor 6861,3053 is 1.
Lets's calculate LCM of 361,285
| 19 | 361, 285 |
| 19, 15 |
∴ So the LCM of the given numbers is 19 x 19 x 15 = 5415
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5415
Therefore, the GCF of Fractions 6861/361,3053/285 is 1/5415
Least Common Multiple of 361,285 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 361,285 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(361,285) = 19
common factors(in case of two or more numbers have common factors) = 1
GCF(361,285) x common factors =19 x 1 = 19
LCM(361,285) = ( 361 × 285 ) / 19
LCM(361,285) = 102885 / 19
LCM(361,285) = 5415
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FAQs on GCF of Fractions of 6861/361, 3053/285
1. What is the HCF of 6861,3053?
The HCF of 6861,3053 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 6861/361, 3053/285?
Answer: GCF of Numerators as per given numbers 6861/361, 3053/285 is
GCF of Numerators i.e. for 6861,3053 is 1
LCM of denominators i.e. for 361,285 is 5415.
Thus, GCF of Fractions is 1/5415.Finally, GCF of Fractions for 6861/361, 3053/285 is 1/5415.