GCF of 6023/764, 5963/9035
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6023/764, 5963/9035 i.e 1/6902740 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6023/764, 5963/9035.
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 6023/764,5963/9035?
Given fractions are 6023/764,5963/9035
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 6023/764,5963/9035, numerators are 6023,5963
Denominators are 764,9035
The GCF of 6023,5963 is 1 .
LCM of 764,9035 is 6902740.
The greatest common factor of 6023/764,5963/9035 = [GCF of 6023,5963]/[LCM of 764,9035]= 1/6902740
Therefore, the GCF of 6023/764,5963/9035 is 1/6902740.
To find the highest common factor of 6023,5963, we have to find the factors of both numbers and list the highest common factor.
The factors of 6023 are 1, 19, 317, 6023
The factors of 5963 are 1, 67, 89, 5963
The HCF of 6023,5963 is 1.
Lets's calculate GCF of 6023,5963
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6023,5963 By Matching Biggest Common Factor Method
Now, list down the factors of 6023
:1,19,317,6023
Now, list down the factors of 5963
:1,67,89,5963
Greatest Common Factor
We found the factors 6023,5963 . The biggest common factor number is the GCF number.
So the greatest common factor 6023,5963 is 1.
Lets's calculate LCM of 764,9035
Given numbers has no common factors except 1. So, there LCM is their product i.e 6902740
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6902740
Therefore, the GCF of Fractions 6023/764,5963/9035 is 1/6902740
Least Common Multiple of 764,9035 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 764,9035 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(764,9035) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(764,9035) x common factors =1 x 1 = 1
LCM(764,9035) = ( 764 × 9035 ) / 1
LCM(764,9035) = 6902740 / 1
LCM(764,9035) = 6902740
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FAQs on GCF of Fractions of 6023/764, 5963/9035
1. What is the HCF of 6023,5963?
The HCF of 6023,5963 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 6023/764, 5963/9035?
Answer: GCF of Numerators as per given numbers 6023/764, 5963/9035 is
GCF of Numerators i.e. for 6023,5963 is 1
LCM of denominators i.e. for 764,9035 is 6902740.
Thus, GCF of Fractions is 1/6902740.Finally, GCF of Fractions for 6023/764, 5963/9035 is 1/6902740.