GCF of 2572/858, 3489/719
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2572/858, 3489/719 i.e 1/616902 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2572/858, 3489/719.
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 2572/858,3489/719?
Given fractions are 2572/858,3489/719
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 2572/858,3489/719, numerators are 2572,3489
Denominators are 858,719
The GCF of 2572,3489 is 1 .
LCM of 858,719 is 616902.
The greatest common factor of 2572/858,3489/719 = [GCF of 2572,3489]/[LCM of 858,719]= 1/616902
Therefore, the GCF of 2572/858,3489/719 is 1/616902.
To find the highest common factor of 2572,3489, we have to find the factors of both numbers and list the highest common factor.
The factors of 2572 are 1, 2, 4, 643, 1286, 2572
The factors of 3489 are 1, 3, 1163, 3489
The HCF of 2572,3489 is 1.
Lets's calculate GCF of 2572,3489
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2572,3489 By Matching Biggest Common Factor Method
Now, list down the factors of 2572
:1,2,4,643,1286,2572
Now, list down the factors of 3489
:1,3,1163,3489
Greatest Common Factor
We found the factors 2572,3489 . The biggest common factor number is the GCF number.
So the greatest common factor 2572,3489 is 1.
Lets's calculate LCM of 858,719
Given numbers has no common factors except 1. So, there LCM is their product i.e 616902
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/616902
Therefore, the GCF of Fractions 2572/858,3489/719 is 1/616902
Least Common Multiple of 858,719 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 858,719 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(858,719) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(858,719) x common factors =1 x 1 = 1
LCM(858,719) = ( 858 × 719 ) / 1
LCM(858,719) = 616902 / 1
LCM(858,719) = 616902
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2572/858, 3489/719
1. What is the HCF of 2572,3489?
The HCF of 2572,3489 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 2572/858, 3489/719?
Answer: GCF of Numerators as per given numbers 2572/858, 3489/719 is
GCF of Numerators i.e. for 2572,3489 is 1
LCM of denominators i.e. for 858,719 is 616902.
Thus, GCF of Fractions is 1/616902.Finally, GCF of Fractions for 2572/858, 3489/719 is 1/616902.