GCF of 684/970, 811/693, 570/619
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 684/970, 811/693, 570/619 i.e 1/416097990 easily. The following is the detailed procedure to determine the greatest common factor of fractions 684/970, 811/693, 570/619.
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 684/970,811/693,570/619?
Given fractions are 684/970,811/693,570/619
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 684/970,811/693,570/619, numerators are 684,811,570
Denominators are 970,693,619
The GCF of 684,811,570 is 1 .
LCM of 970,693,619 is 416097990.
The greatest common factor of 684/970,811/693,570/619 = [GCF of 684,811,570]/[LCM of 970,693,619]= 1/416097990
Therefore, the GCF of 684/970,811/693,570/619 is 1/416097990.
To find the highest common factor of 684,811,570, we have to find the factors of both numbers and list the highest common factor.
The factors of 684 are 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
The factors of 811 are 1, 811
The factors of 570 are 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
The HCF of 684,811,570 is 1.
Lets's calculate GCF of 684,811,570
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 684,811,570 By Matching Biggest Common Factor Method
Now, list down the factors of 684
:1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684
Now, list down the factors of 811
:1,811
Now, list down the factors of 570
:1,2,3,5,6,10,15,19,30,38,57,95,114,190,285,570
Greatest Common Factor
We found the factors 684,811,570 . The biggest common factor number is the GCF number.
So the greatest common factor 684,811,570 is 1.
Lets's calculate LCM of 970,693,619
Given numbers has no common factors except 1. So, there LCM is their product i.e 416097990
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/416097990
Therefore, the GCF of Fractions 684/970,811/693,570/619 is 1/416097990
Least Common Multiple of 970,693,619 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 970,693,619 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(970,693,619) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(970,693,619) x common factors =1 x 1 = 1
LCM(970,693,619) = ( 970 × 693 × 619 ) / 1
LCM(970,693,619) = 416097990 / 1
LCM(970,693,619) = 416097990
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 684/970, 811/693, 570/619
1. What is the HCF of 684,811,570?
The HCF of 684,811,570 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 684/970, 811/693, 570/619?
Answer: GCF of Numerators as per given numbers 684/970, 811/693, 570/619 is
GCF of Numerators i.e. for 684,811,570 is 1
LCM of denominators i.e. for 970,693,619 is 416097990.
Thus, GCF of Fractions is 1/416097990.Finally, GCF of Fractions for 684/970, 811/693, 570/619 is 1/416097990.