GCF of 49/17, 246/23, 514/722
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 49/17, 246/23, 514/722 i.e 1/282302 easily. The following is the detailed procedure to determine the greatest common factor of fractions 49/17, 246/23, 514/722.
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 49/17,246/23,514/722?
Given fractions are 49/17,246/23,514/722
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 49/17,246/23,514/722, numerators are 49,246,514
Denominators are 17,23,722
The GCF of 49,246,514 is 1 .
LCM of 17,23,722 is 282302.
The greatest common factor of 49/17,246/23,514/722 = [GCF of 49,246,514]/[LCM of 17,23,722]= 1/282302
Therefore, the GCF of 49/17,246/23,514/722 is 1/282302.
To find the highest common factor of 49,246,514, we have to find the factors of both numbers and list the highest common factor.
The factors of 49 are 1, 7, 49
The factors of 246 are 1, 2, 3, 6, 41, 82, 123, 246
The factors of 514 are 1, 2, 257, 514
The HCF of 49,246,514 is 1.
Lets's calculate GCF of 49,246,514
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 49,246,514 By Matching Biggest Common Factor Method
Now, list down the factors of 49
:1,7,49
Now, list down the factors of 246
:1,2,3,6,41,82,123,246
Now, list down the factors of 514
:1,2,257,514
Greatest Common Factor
We found the factors 49,246,514 . The biggest common factor number is the GCF number.
So the greatest common factor 49,246,514 is 1.
Lets's calculate LCM of 17,23,722
Given numbers has no common factors except 1. So, there LCM is their product i.e 282302
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/282302
Therefore, the GCF of Fractions 49/17,246/23,514/722 is 1/282302
Least Common Multiple of 17,23,722 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 17,23,722 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(17,23,722) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(17,23,722) x common factors =1 x 1 = 1
LCM(17,23,722) = ( 17 × 23 × 722 ) / 1
LCM(17,23,722) = 282302 / 1
LCM(17,23,722) = 282302
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 49/17, 246/23, 514/722
1. What is the HCF of 49,246,514?
The HCF of 49,246,514 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 49/17, 246/23, 514/722?
Answer: GCF of Numerators as per given numbers 49/17, 246/23, 514/722 is
GCF of Numerators i.e. for 49,246,514 is 1
LCM of denominators i.e. for 17,23,722 is 282302.
Thus, GCF of Fractions is 1/282302.Finally, GCF of Fractions for 49/17, 246/23, 514/722 is 1/282302.