GCF of 2019/764, 8234/7835
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2019/764, 8234/7835 i.e 1/5985940 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2019/764, 8234/7835.
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 2019/764,8234/7835?
Given fractions are 2019/764,8234/7835
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 2019/764,8234/7835, numerators are 2019,8234
Denominators are 764,7835
The GCF of 2019,8234 is 1 .
LCM of 764,7835 is 5985940.
The greatest common factor of 2019/764,8234/7835 = [GCF of 2019,8234]/[LCM of 764,7835]= 1/5985940
Therefore, the GCF of 2019/764,8234/7835 is 1/5985940.
To find the highest common factor of 2019,8234, we have to find the factors of both numbers and list the highest common factor.
The factors of 2019 are 1, 3, 673, 2019
The factors of 8234 are 1, 2, 23, 46, 179, 358, 4117, 8234
The HCF of 2019,8234 is 1.
Lets's calculate GCF of 2019,8234
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2019,8234 By Matching Biggest Common Factor Method
Now, list down the factors of 2019
:1,3,673,2019
Now, list down the factors of 8234
:1,2,23,46,179,358,4117,8234
Greatest Common Factor
We found the factors 2019,8234 . The biggest common factor number is the GCF number.
So the greatest common factor 2019,8234 is 1.
Lets's calculate LCM of 764,7835
Given numbers has no common factors except 1. So, there LCM is their product i.e 5985940
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5985940
Therefore, the GCF of Fractions 2019/764,8234/7835 is 1/5985940
Least Common Multiple of 764,7835 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 764,7835 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(764,7835) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(764,7835) x common factors =1 x 1 = 1
LCM(764,7835) = ( 764 × 7835 ) / 1
LCM(764,7835) = 5985940 / 1
LCM(764,7835) = 5985940
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FAQs on GCF of Fractions of 2019/764, 8234/7835
1. What is the HCF of 2019,8234?
The HCF of 2019,8234 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 2019/764, 8234/7835?
Answer: GCF of Numerators as per given numbers 2019/764, 8234/7835 is
GCF of Numerators i.e. for 2019,8234 is 1
LCM of denominators i.e. for 764,7835 is 5985940.
Thus, GCF of Fractions is 1/5985940.Finally, GCF of Fractions for 2019/764, 8234/7835 is 1/5985940.