GCF of 715/90, 542/1847
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 715/90, 542/1847 i.e 1/166230 easily. The following is the detailed procedure to determine the greatest common factor of fractions 715/90, 542/1847.
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 715/90,542/1847?
Given fractions are 715/90,542/1847
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 715/90,542/1847, numerators are 715,542
Denominators are 90,1847
The GCF of 715,542 is 1 .
LCM of 90,1847 is 166230.
The greatest common factor of 715/90,542/1847 = [GCF of 715,542]/[LCM of 90,1847]= 1/166230
Therefore, the GCF of 715/90,542/1847 is 1/166230.
To find the highest common factor of 715,542, we have to find the factors of both numbers and list the highest common factor.
The factors of 715 are 1, 5, 11, 13, 55, 65, 143, 715
The factors of 542 are 1, 2, 271, 542
The HCF of 715,542 is 1.
Lets's calculate GCF of 715,542
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 715,542 By Matching Biggest Common Factor Method
Now, list down the factors of 715
:1,5,11,13,55,65,143,715
Now, list down the factors of 542
:1,2,271,542
Greatest Common Factor
We found the factors 715,542 . The biggest common factor number is the GCF number.
So the greatest common factor 715,542 is 1.
Lets's calculate LCM of 90,1847
Given numbers has no common factors except 1. So, there LCM is their product i.e 166230
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/166230
Therefore, the GCF of Fractions 715/90,542/1847 is 1/166230
Least Common Multiple of 90,1847 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 90,1847 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(90,1847) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(90,1847) x common factors =1 x 1 = 1
LCM(90,1847) = ( 90 × 1847 ) / 1
LCM(90,1847) = 166230 / 1
LCM(90,1847) = 166230
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FAQs on GCF of Fractions of 715/90, 542/1847
1. What is the HCF of 715,542?
The HCF of 715,542 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 715/90, 542/1847?
Answer: GCF of Numerators as per given numbers 715/90, 542/1847 is
GCF of Numerators i.e. for 715,542 is 1
LCM of denominators i.e. for 90,1847 is 166230.
Thus, GCF of Fractions is 1/166230.Finally, GCF of Fractions for 715/90, 542/1847 is 1/166230.