GCF of 290/409, 149/135
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 290/409, 149/135 i.e 1/55215 easily. The following is the detailed procedure to determine the greatest common factor of fractions 290/409, 149/135.
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 290/409,149/135?
Given fractions are 290/409,149/135
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 290/409,149/135, numerators are 290,149
Denominators are 409,135
The GCF of 290,149 is 1 .
LCM of 409,135 is 55215.
The greatest common factor of 290/409,149/135 = [GCF of 290,149]/[LCM of 409,135]= 1/55215
Therefore, the GCF of 290/409,149/135 is 1/55215.
To find the highest common factor of 290,149, we have to find the factors of both numbers and list the highest common factor.
The factors of 290 are 1, 2, 5, 10, 29, 58, 145, 290
The factors of 149 are 1, 149
The HCF of 290,149 is 1.
Lets's calculate GCF of 290,149
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 290,149 By Matching Biggest Common Factor Method
Now, list down the factors of 290
:1,2,5,10,29,58,145,290
Now, list down the factors of 149
:1,149
Greatest Common Factor
We found the factors 290,149 . The biggest common factor number is the GCF number.
So the greatest common factor 290,149 is 1.
Lets's calculate LCM of 409,135
Given numbers has no common factors except 1. So, there LCM is their product i.e 55215
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/55215
Therefore, the GCF of Fractions 290/409,149/135 is 1/55215
Least Common Multiple of 409,135 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 409,135 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(409,135) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(409,135) x common factors =1 x 1 = 1
LCM(409,135) = ( 409 × 135 ) / 1
LCM(409,135) = 55215 / 1
LCM(409,135) = 55215
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FAQs on GCF of Fractions of 290/409, 149/135
1. What is the HCF of 290,149?
The HCF of 290,149 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 290/409, 149/135?
Answer: GCF of Numerators as per given numbers 290/409, 149/135 is
GCF of Numerators i.e. for 290,149 is 1
LCM of denominators i.e. for 409,135 is 55215.
Thus, GCF of Fractions is 1/55215.Finally, GCF of Fractions for 290/409, 149/135 is 1/55215.