GCF of 4365/435, 7830/863
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4365/435, 7830/863 i.e 45/375405 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4365/435, 7830/863.
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 4365/435,7830/863?
Given fractions are 4365/435,7830/863
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 4365/435,7830/863, numerators are 4365,7830
Denominators are 435,863
The GCF of 4365,7830 is 45 .
LCM of 435,863 is 375405.
The greatest common factor of 4365/435,7830/863 = [GCF of 4365,7830]/[LCM of 435,863]= 45/375405
Therefore, the GCF of 4365/435,7830/863 is 45/375405.
To find the highest common factor of 4365,7830, we have to find the factors of both numbers and list the highest common factor.
The factors of 4365 are 1, 3, 5, 9, 15, 45, 97, 291, 485, 873, 1455, 4365
The factors of 7830 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 29, 30, 45, 54, 58, 87, 90, 135, 145, 174, 261, 270, 290, 435, 522, 783, 870, 1305, 1566, 2610, 3915, 7830
The HCF of 4365,7830 is 45.
Lets's calculate GCF of 4365,7830
| 3 | 4365, 7830 |
| 3 | 1455, 2610 |
| 5 | 485, 870 |
| 97, 174 |
∴ So the GCF of the given numbers is 3 x 3 x 5 = 45
Greatest Common Factor of 4365,7830 By Matching Biggest Common Factor Method
Now, list down the factors of 4365
:1,3,5,9,15,45,97,291,485,873,1455,4365
Now, list down the factors of 7830
:1,2,3,5,6,9,10,15,18,27,29,30,45,54,58,87,90,135,145,174,261,270,290,435,522,783,870,1305,1566,2610,3915,7830
Greatest Common Factor
We found the factors 4365,7830 . The biggest common factor number is the GCF number.
So the greatest common factor 4365,7830 is 45.
Lets's calculate LCM of 435,863
Given numbers has no common factors except 1. So, there LCM is their product i.e 375405
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 45/375405
Therefore, the GCF of Fractions 4365/435,7830/863 is 45/375405
Least Common Multiple of 435,863 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 435,863 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(435,863) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(435,863) x common factors =1 x 1 = 1
LCM(435,863) = ( 435 × 863 ) / 1
LCM(435,863) = 375405 / 1
LCM(435,863) = 375405
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FAQs on GCF of Fractions of 4365/435, 7830/863
1. What is the HCF of 4365,7830?
The HCF of 4365,7830 is 45
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 4365/435, 7830/863?
Answer: GCF of Numerators as per given numbers 4365/435, 7830/863 is
GCF of Numerators i.e. for 4365,7830 is 45
LCM of denominators i.e. for 435,863 is 375405.
Thus, GCF of Fractions is 45/375405.Finally, GCF of Fractions for 4365/435, 7830/863 is 45/375405.