GCF of 4019/715, 2142/723
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4019/715, 2142/723 i.e 1/516945 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4019/715, 2142/723.
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 4019/715,2142/723?
Given fractions are 4019/715,2142/723
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 4019/715,2142/723, numerators are 4019,2142
Denominators are 715,723
The GCF of 4019,2142 is 1 .
LCM of 715,723 is 516945.
The greatest common factor of 4019/715,2142/723 = [GCF of 4019,2142]/[LCM of 715,723]= 1/516945
Therefore, the GCF of 4019/715,2142/723 is 1/516945.
To find the highest common factor of 4019,2142, we have to find the factors of both numbers and list the highest common factor.
The factors of 4019 are 1, 4019
The factors of 2142 are 1, 2, 3, 6, 7, 9, 14, 17, 18, 21, 34, 42, 51, 63, 102, 119, 126, 153, 238, 306, 357, 714, 1071, 2142
The HCF of 4019,2142 is 1.
Lets's calculate GCF of 4019,2142
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4019,2142 By Matching Biggest Common Factor Method
Now, list down the factors of 4019
:1,4019
Now, list down the factors of 2142
:1,2,3,6,7,9,14,17,18,21,34,42,51,63,102,119,126,153,238,306,357,714,1071,2142
Greatest Common Factor
We found the factors 4019,2142 . The biggest common factor number is the GCF number.
So the greatest common factor 4019,2142 is 1.
Lets's calculate LCM of 715,723
Given numbers has no common factors except 1. So, there LCM is their product i.e 516945
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/516945
Therefore, the GCF of Fractions 4019/715,2142/723 is 1/516945
Least Common Multiple of 715,723 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 715,723 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(715,723) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(715,723) x common factors =1 x 1 = 1
LCM(715,723) = ( 715 × 723 ) / 1
LCM(715,723) = 516945 / 1
LCM(715,723) = 516945
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FAQs on GCF of Fractions of 4019/715, 2142/723
1. What is the HCF of 4019,2142?
The HCF of 4019,2142 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 4019/715, 2142/723?
Answer: GCF of Numerators as per given numbers 4019/715, 2142/723 is
GCF of Numerators i.e. for 4019,2142 is 1
LCM of denominators i.e. for 715,723 is 516945.
Thus, GCF of Fractions is 1/516945.Finally, GCF of Fractions for 4019/715, 2142/723 is 1/516945.