GCF of 101/36, 290/497
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 101/36, 290/497 i.e 1/17892 easily. The following is the detailed procedure to determine the greatest common factor of fractions 101/36, 290/497.
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 101/36,290/497?
Given fractions are 101/36,290/497
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 101/36,290/497, numerators are 101,290
Denominators are 36,497
The GCF of 101,290 is 1 .
LCM of 36,497 is 17892.
The greatest common factor of 101/36,290/497 = [GCF of 101,290]/[LCM of 36,497]= 1/17892
Therefore, the GCF of 101/36,290/497 is 1/17892.
To find the highest common factor of 101,290, we have to find the factors of both numbers and list the highest common factor.
The factors of 101 are 1, 101
The factors of 290 are 1, 2, 5, 10, 29, 58, 145, 290
The HCF of 101,290 is 1.
Lets's calculate GCF of 101,290
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 101,290 By Matching Biggest Common Factor Method
Now, list down the factors of 101
:1,101
Now, list down the factors of 290
:1,2,5,10,29,58,145,290
Greatest Common Factor
We found the factors 101,290 . The biggest common factor number is the GCF number.
So the greatest common factor 101,290 is 1.
Lets's calculate LCM of 36,497
Given numbers has no common factors except 1. So, there LCM is their product i.e 17892
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17892
Therefore, the GCF of Fractions 101/36,290/497 is 1/17892
Least Common Multiple of 36,497 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 36,497 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(36,497) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(36,497) x common factors =1 x 1 = 1
LCM(36,497) = ( 36 × 497 ) / 1
LCM(36,497) = 17892 / 1
LCM(36,497) = 17892
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FAQs on GCF of Fractions of 101/36, 290/497
1. What is the HCF of 101,290?
The HCF of 101,290 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 101/36, 290/497?
Answer: GCF of Numerators as per given numbers 101/36, 290/497 is
GCF of Numerators i.e. for 101,290 is 1
LCM of denominators i.e. for 36,497 is 17892.
Thus, GCF of Fractions is 1/17892.Finally, GCF of Fractions for 101/36, 290/497 is 1/17892.