GCF of 719/57, 682/709
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 719/57, 682/709 i.e 1/40413 easily. The following is the detailed procedure to determine the greatest common factor of fractions 719/57, 682/709.
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 719/57,682/709?
Given fractions are 719/57,682/709
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 719/57,682/709, numerators are 719,682
Denominators are 57,709
The GCF of 719,682 is 1 .
LCM of 57,709 is 40413.
The greatest common factor of 719/57,682/709 = [GCF of 719,682]/[LCM of 57,709]= 1/40413
Therefore, the GCF of 719/57,682/709 is 1/40413.
To find the highest common factor of 719,682, we have to find the factors of both numbers and list the highest common factor.
The factors of 719 are 1, 719
The factors of 682 are 1, 2, 11, 22, 31, 62, 341, 682
The HCF of 719,682 is 1.
Lets's calculate GCF of 719,682
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 719,682 By Matching Biggest Common Factor Method
Now, list down the factors of 719
:1,719
Now, list down the factors of 682
:1,2,11,22,31,62,341,682
Greatest Common Factor
We found the factors 719,682 . The biggest common factor number is the GCF number.
So the greatest common factor 719,682 is 1.
Lets's calculate LCM of 57,709
Given numbers has no common factors except 1. So, there LCM is their product i.e 40413
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/40413
Therefore, the GCF of Fractions 719/57,682/709 is 1/40413
Least Common Multiple of 57,709 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 57,709 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(57,709) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(57,709) x common factors =1 x 1 = 1
LCM(57,709) = ( 57 × 709 ) / 1
LCM(57,709) = 40413 / 1
LCM(57,709) = 40413
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FAQs on GCF of Fractions of 719/57, 682/709
1. What is the HCF of 719,682?
The HCF of 719,682 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 719/57, 682/709?
Answer: GCF of Numerators as per given numbers 719/57, 682/709 is
GCF of Numerators i.e. for 719,682 is 1
LCM of denominators i.e. for 57,709 is 40413.
Thus, GCF of Fractions is 1/40413.Finally, GCF of Fractions for 719/57, 682/709 is 1/40413.