GCF of 3820/729, 5829/7004
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3820/729, 5829/7004 i.e 1/5105916 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3820/729, 5829/7004.
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 3820/729,5829/7004?
Given fractions are 3820/729,5829/7004
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 3820/729,5829/7004, numerators are 3820,5829
Denominators are 729,7004
The GCF of 3820,5829 is 1 .
LCM of 729,7004 is 5105916.
The greatest common factor of 3820/729,5829/7004 = [GCF of 3820,5829]/[LCM of 729,7004]= 1/5105916
Therefore, the GCF of 3820/729,5829/7004 is 1/5105916.
To find the highest common factor of 3820,5829, we have to find the factors of both numbers and list the highest common factor.
The factors of 3820 are 1, 2, 4, 5, 10, 20, 191, 382, 764, 955, 1910, 3820
The factors of 5829 are 1, 3, 29, 67, 87, 201, 1943, 5829
The HCF of 3820,5829 is 1.
Lets's calculate GCF of 3820,5829
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3820,5829 By Matching Biggest Common Factor Method
Now, list down the factors of 3820
:1,2,4,5,10,20,191,382,764,955,1910,3820
Now, list down the factors of 5829
:1,3,29,67,87,201,1943,5829
Greatest Common Factor
We found the factors 3820,5829 . The biggest common factor number is the GCF number.
So the greatest common factor 3820,5829 is 1.
Lets's calculate LCM of 729,7004
Given numbers has no common factors except 1. So, there LCM is their product i.e 5105916
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5105916
Therefore, the GCF of Fractions 3820/729,5829/7004 is 1/5105916
Least Common Multiple of 729,7004 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 729,7004 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(729,7004) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(729,7004) x common factors =1 x 1 = 1
LCM(729,7004) = ( 729 × 7004 ) / 1
LCM(729,7004) = 5105916 / 1
LCM(729,7004) = 5105916
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FAQs on GCF of Fractions of 3820/729, 5829/7004
1. What is the HCF of 3820,5829?
The HCF of 3820,5829 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 3820/729, 5829/7004?
Answer: GCF of Numerators as per given numbers 3820/729, 5829/7004 is
GCF of Numerators i.e. for 3820,5829 is 1
LCM of denominators i.e. for 729,7004 is 5105916.
Thus, GCF of Fractions is 1/5105916.Finally, GCF of Fractions for 3820/729, 5829/7004 is 1/5105916.