GCF of 4095/684, 5869/4278
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4095/684, 5869/4278 i.e 1/487692 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4095/684, 5869/4278.
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 4095/684,5869/4278?
Given fractions are 4095/684,5869/4278
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 4095/684,5869/4278, numerators are 4095,5869
Denominators are 684,4278
The GCF of 4095,5869 is 1 .
LCM of 684,4278 is 487692.
The greatest common factor of 4095/684,5869/4278 = [GCF of 4095,5869]/[LCM of 684,4278]= 1/487692
Therefore, the GCF of 4095/684,5869/4278 is 1/487692.
To find the highest common factor of 4095,5869, we have to find the factors of both numbers and list the highest common factor.
The factors of 4095 are 1, 3, 5, 7, 9, 13, 15, 21, 35, 39, 45, 63, 65, 91, 105, 117, 195, 273, 315, 455, 585, 819, 1365, 4095
The factors of 5869 are 1, 5869
The HCF of 4095,5869 is 1.
Lets's calculate GCF of 4095,5869
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4095,5869 By Matching Biggest Common Factor Method
Now, list down the factors of 4095
:1,3,5,7,9,13,15,21,35,39,45,63,65,91,105,117,195,273,315,455,585,819,1365,4095
Now, list down the factors of 5869
:1,5869
Greatest Common Factor
We found the factors 4095,5869 . The biggest common factor number is the GCF number.
So the greatest common factor 4095,5869 is 1.
Lets's calculate LCM of 684,4278
| 2 | 684, 4278 |
| 3 | 342, 2139 |
| 114, 713 |
∴ So the LCM of the given numbers is 2 x 3 x 114 x 713 = 487692
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/487692
Therefore, the GCF of Fractions 4095/684,5869/4278 is 1/487692
Least Common Multiple of 684,4278 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 684,4278 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(684,4278) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(684,4278) x common factors =6 x 1 = 6
LCM(684,4278) = ( 684 × 4278 ) / 6
LCM(684,4278) = 2926152 / 6
LCM(684,4278) = 487692
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FAQs on GCF of Fractions of 4095/684, 5869/4278
1. What is the HCF of 4095,5869?
The HCF of 4095,5869 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 4095/684, 5869/4278?
Answer: GCF of Numerators as per given numbers 4095/684, 5869/4278 is
GCF of Numerators i.e. for 4095,5869 is 1
LCM of denominators i.e. for 684,4278 is 487692.
Thus, GCF of Fractions is 1/487692.Finally, GCF of Fractions for 4095/684, 5869/4278 is 1/487692.