GCF of 20/59, 70/625, 513/713
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 20/59, 70/625, 513/713 i.e 1/26291875 easily. The following is the detailed procedure to determine the greatest common factor of fractions 20/59, 70/625, 513/713.
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 20/59,70/625,513/713?
Given fractions are 20/59,70/625,513/713
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 20/59,70/625,513/713, numerators are 20,70,513
Denominators are 59,625,713
The GCF of 20,70,513 is 1 .
LCM of 59,625,713 is 26291875.
The greatest common factor of 20/59,70/625,513/713 = [GCF of 20,70,513]/[LCM of 59,625,713]= 1/26291875
Therefore, the GCF of 20/59,70/625,513/713 is 1/26291875.
To find the highest common factor of 20,70,513, we have to find the factors of both numbers and list the highest common factor.
The factors of 20 are 1, 2, 4, 5, 10, 20
The factors of 70 are 1, 2, 5, 7, 10, 14, 35, 70
The factors of 513 are 1, 3, 9, 19, 27, 57, 171, 513
The HCF of 20,70,513 is 1.
Lets's calculate GCF of 20,70,513
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 20,70,513 By Matching Biggest Common Factor Method
Now, list down the factors of 20
:1,2,4,5,10,20
Now, list down the factors of 70
:1,2,5,7,10,14,35,70
Now, list down the factors of 513
:1,3,9,19,27,57,171,513
Greatest Common Factor
We found the factors 20,70,513 . The biggest common factor number is the GCF number.
So the greatest common factor 20,70,513 is 1.
Lets's calculate LCM of 59,625,713
Given numbers has no common factors except 1. So, there LCM is their product i.e 26291875
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/26291875
Therefore, the GCF of Fractions 20/59,70/625,513/713 is 1/26291875
Least Common Multiple of 59,625,713 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 59,625,713 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(59,625,713) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(59,625,713) x common factors =1 x 1 = 1
LCM(59,625,713) = ( 59 × 625 × 713 ) / 1
LCM(59,625,713) = 26291875 / 1
LCM(59,625,713) = 26291875
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FAQs on GCF of Fractions of 20/59, 70/625, 513/713
1. What is the HCF of 20,70,513?
The HCF of 20,70,513 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 20/59, 70/625, 513/713?
Answer: GCF of Numerators as per given numbers 20/59, 70/625, 513/713 is
GCF of Numerators i.e. for 20,70,513 is 1
LCM of denominators i.e. for 59,625,713 is 26291875.
Thus, GCF of Fractions is 1/26291875.Finally, GCF of Fractions for 20/59, 70/625, 513/713 is 1/26291875.