GCF of 290/90, 609/70, 550/31
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 290/90, 609/70, 550/31 i.e 1/19530 easily. The following is the detailed procedure to determine the greatest common factor of fractions 290/90, 609/70, 550/31.
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 290/90,609/70,550/31?
Given fractions are 290/90,609/70,550/31
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 290/90,609/70,550/31, numerators are 290,609,550
Denominators are 90,70,31
The GCF of 290,609,550 is 1 .
LCM of 90,70,31 is 19530.
The greatest common factor of 290/90,609/70,550/31 = [GCF of 290,609,550]/[LCM of 90,70,31]= 1/19530
Therefore, the GCF of 290/90,609/70,550/31 is 1/19530.
To find the highest common factor of 290,609,550, 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 609 are 1, 3, 7, 21, 29, 87, 203, 609
The factors of 550 are 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
The HCF of 290,609,550 is 1.
Lets's calculate GCF of 290,609,550
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 290,609,550 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 609
:1,3,7,21,29,87,203,609
Now, list down the factors of 550
:1,2,5,10,11,22,25,50,55,110,275,550
Greatest Common Factor
We found the factors 290,609,550 . The biggest common factor number is the GCF number.
So the greatest common factor 290,609,550 is 1.
Lets's calculate LCM of 90,70,31
| 2 | 90, 70, 31 |
| 5 | 45, 35, 31 |
| 9, 7, 31 |
∴ So the LCM of the given numbers is 2 x 5 x 9 x 7 x 31 = 19530
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19530
Therefore, the GCF of Fractions 290/90,609/70,550/31 is 1/19530
Least Common Multiple of 90,70,31 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 90,70,31 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(90,70,31) = 1
common factors(in case of two or more numbers have common factors) = 10
GCF(90,70,31) x common factors =1 x 10 = 10
LCM(90,70,31) = ( 90 × 70 × 31 ) / 10
LCM(90,70,31) = 195300 / 10
LCM(90,70,31) = 19530
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FAQs on GCF of Fractions of 290/90, 609/70, 550/31
1. What is the HCF of 290,609,550?
The HCF of 290,609,550 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 290/90, 609/70, 550/31?
Answer: GCF of Numerators as per given numbers 290/90, 609/70, 550/31 is
GCF of Numerators i.e. for 290,609,550 is 1
LCM of denominators i.e. for 90,70,31 is 19530.
Thus, GCF of Fractions is 1/19530.Finally, GCF of Fractions for 290/90, 609/70, 550/31 is 1/19530.