GCF of 713/20, 550/72, 758/49
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 713/20, 550/72, 758/49 i.e 1/17640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 713/20, 550/72, 758/49.
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 713/20,550/72,758/49?
Given fractions are 713/20,550/72,758/49
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 713/20,550/72,758/49, numerators are 713,550,758
Denominators are 20,72,49
The GCF of 713,550,758 is 1 .
LCM of 20,72,49 is 17640.
The greatest common factor of 713/20,550/72,758/49 = [GCF of 713,550,758]/[LCM of 20,72,49]= 1/17640
Therefore, the GCF of 713/20,550/72,758/49 is 1/17640.
To find the highest common factor of 713,550,758, we have to find the factors of both numbers and list the highest common factor.
The factors of 713 are 1, 23, 31, 713
The factors of 550 are 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
The factors of 758 are 1, 2, 379, 758
The HCF of 713,550,758 is 1.
Lets's calculate GCF of 713,550,758
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 713,550,758 By Matching Biggest Common Factor Method
Now, list down the factors of 713
:1,23,31,713
Now, list down the factors of 550
:1,2,5,10,11,22,25,50,55,110,275,550
Now, list down the factors of 758
:1,2,379,758
Greatest Common Factor
We found the factors 713,550,758 . The biggest common factor number is the GCF number.
So the greatest common factor 713,550,758 is 1.
Lets's calculate LCM of 20,72,49
| 2 | 20, 72, 49 |
| 2 | 10, 36, 49 |
| 5, 18, 49 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 18 x 49 = 17640
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17640
Therefore, the GCF of Fractions 713/20,550/72,758/49 is 1/17640
Least Common Multiple of 20,72,49 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 20,72,49 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,72,49) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(20,72,49) x common factors =1 x 4 = 4
LCM(20,72,49) = ( 20 × 72 × 49 ) / 4
LCM(20,72,49) = 70560 / 4
LCM(20,72,49) = 17640
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FAQs on GCF of Fractions of 713/20, 550/72, 758/49
1. What is the HCF of 713,550,758?
The HCF of 713,550,758 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 713/20, 550/72, 758/49?
Answer: GCF of Numerators as per given numbers 713/20, 550/72, 758/49 is
GCF of Numerators i.e. for 713,550,758 is 1
LCM of denominators i.e. for 20,72,49 is 17640.
Thus, GCF of Fractions is 1/17640.Finally, GCF of Fractions for 713/20, 550/72, 758/49 is 1/17640.