GCF of 4030/869, 3305/1422
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4030/869, 3305/1422 i.e 5/15642 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4030/869, 3305/1422.
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 4030/869,3305/1422?
Given fractions are 4030/869,3305/1422
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 4030/869,3305/1422, numerators are 4030,3305
Denominators are 869,1422
The GCF of 4030,3305 is 5 .
LCM of 869,1422 is 15642.
The greatest common factor of 4030/869,3305/1422 = [GCF of 4030,3305]/[LCM of 869,1422]= 5/15642
Therefore, the GCF of 4030/869,3305/1422 is 5/15642.
To find the highest common factor of 4030,3305, we have to find the factors of both numbers and list the highest common factor.
The factors of 4030 are 1, 2, 5, 10, 13, 26, 31, 62, 65, 130, 155, 310, 403, 806, 2015, 4030
The factors of 3305 are 1, 5, 661, 3305
The HCF of 4030,3305 is 5.
Lets's calculate GCF of 4030,3305
| 5 | 4030, 3305 |
| 806, 661 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 4030,3305 By Matching Biggest Common Factor Method
Now, list down the factors of 4030
:1,2,5,10,13,26,31,62,65,130,155,310,403,806,2015,4030
Now, list down the factors of 3305
:1,5,661,3305
Greatest Common Factor
We found the factors 4030,3305 . The biggest common factor number is the GCF number.
So the greatest common factor 4030,3305 is 5.
Lets's calculate LCM of 869,1422
| 79 | 869, 1422 |
| 11, 18 |
∴ So the LCM of the given numbers is 79 x 11 x 18 = 15642
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/15642
Therefore, the GCF of Fractions 4030/869,3305/1422 is 5/15642
Least Common Multiple of 869,1422 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 869,1422 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(869,1422) = 79
common factors(in case of two or more numbers have common factors) = 1
GCF(869,1422) x common factors =79 x 1 = 79
LCM(869,1422) = ( 869 × 1422 ) / 79
LCM(869,1422) = 1235718 / 79
LCM(869,1422) = 15642
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FAQs on GCF of Fractions of 4030/869, 3305/1422
1. What is the HCF of 4030,3305?
The HCF of 4030,3305 is 5
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 4030/869, 3305/1422?
Answer: GCF of Numerators as per given numbers 4030/869, 3305/1422 is
GCF of Numerators i.e. for 4030,3305 is 5
LCM of denominators i.e. for 869,1422 is 15642.
Thus, GCF of Fractions is 5/15642.Finally, GCF of Fractions for 4030/869, 3305/1422 is 5/15642.