GCF of 718/406, 542/417
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 718/406, 542/417 i.e 2/169302 easily. The following is the detailed procedure to determine the greatest common factor of fractions 718/406, 542/417.
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 718/406,542/417?
Given fractions are 718/406,542/417
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 718/406,542/417, numerators are 718,542
Denominators are 406,417
The GCF of 718,542 is 2 .
LCM of 406,417 is 169302.
The greatest common factor of 718/406,542/417 = [GCF of 718,542]/[LCM of 406,417]= 2/169302
Therefore, the GCF of 718/406,542/417 is 2/169302.
To find the highest common factor of 718,542, we have to find the factors of both numbers and list the highest common factor.
The factors of 718 are 1, 2, 359, 718
The factors of 542 are 1, 2, 271, 542
The HCF of 718,542 is 2.
Lets's calculate GCF of 718,542
| 2 | 718, 542 |
| 359, 271 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 718,542 By Matching Biggest Common Factor Method
Now, list down the factors of 718
:1,2,359,718
Now, list down the factors of 542
:1,2,271,542
Greatest Common Factor
We found the factors 718,542 . The biggest common factor number is the GCF number.
So the greatest common factor 718,542 is 2.
Lets's calculate LCM of 406,417
Given numbers has no common factors except 1. So, there LCM is their product i.e 169302
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/169302
Therefore, the GCF of Fractions 718/406,542/417 is 2/169302
Least Common Multiple of 406,417 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 406,417 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(406,417) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(406,417) x common factors =1 x 1 = 1
LCM(406,417) = ( 406 × 417 ) / 1
LCM(406,417) = 169302 / 1
LCM(406,417) = 169302
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FAQs on GCF of Fractions of 718/406, 542/417
1. What is the HCF of 718,542?
The HCF of 718,542 is 2
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 718/406, 542/417?
Answer: GCF of Numerators as per given numbers 718/406, 542/417 is
GCF of Numerators i.e. for 718,542 is 2
LCM of denominators i.e. for 406,417 is 169302.
Thus, GCF of Fractions is 2/169302.Finally, GCF of Fractions for 718/406, 542/417 is 2/169302.