GCF of 7829/791, 3589/5956
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7829/791, 3589/5956 i.e 1/4711196 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7829/791, 3589/5956.
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 7829/791,3589/5956?
Given fractions are 7829/791,3589/5956
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 7829/791,3589/5956, numerators are 7829,3589
Denominators are 791,5956
The GCF of 7829,3589 is 1 .
LCM of 791,5956 is 4711196.
The greatest common factor of 7829/791,3589/5956 = [GCF of 7829,3589]/[LCM of 791,5956]= 1/4711196
Therefore, the GCF of 7829/791,3589/5956 is 1/4711196.
To find the highest common factor of 7829,3589, we have to find the factors of both numbers and list the highest common factor.
The factors of 7829 are 1, 7829
The factors of 3589 are 1, 37, 97, 3589
The HCF of 7829,3589 is 1.
Lets's calculate GCF of 7829,3589
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7829,3589 By Matching Biggest Common Factor Method
Now, list down the factors of 7829
:1,7829
Now, list down the factors of 3589
:1,37,97,3589
Greatest Common Factor
We found the factors 7829,3589 . The biggest common factor number is the GCF number.
So the greatest common factor 7829,3589 is 1.
Lets's calculate LCM of 791,5956
Given numbers has no common factors except 1. So, there LCM is their product i.e 4711196
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4711196
Therefore, the GCF of Fractions 7829/791,3589/5956 is 1/4711196
Least Common Multiple of 791,5956 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 791,5956 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(791,5956) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(791,5956) x common factors =1 x 1 = 1
LCM(791,5956) = ( 791 × 5956 ) / 1
LCM(791,5956) = 4711196 / 1
LCM(791,5956) = 4711196
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FAQs on GCF of Fractions of 7829/791, 3589/5956
1. What is the HCF of 7829,3589?
The HCF of 7829,3589 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 7829/791, 3589/5956?
Answer: GCF of Numerators as per given numbers 7829/791, 3589/5956 is
GCF of Numerators i.e. for 7829,3589 is 1
LCM of denominators i.e. for 791,5956 is 4711196.
Thus, GCF of Fractions is 1/4711196.Finally, GCF of Fractions for 7829/791, 3589/5956 is 1/4711196.