GCF of 554/17, 635/10, 906/45
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 554/17, 635/10, 906/45 i.e 1/1530 easily. The following is the detailed procedure to determine the greatest common factor of fractions 554/17, 635/10, 906/45.
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 554/17,635/10,906/45?
Given fractions are 554/17,635/10,906/45
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 554/17,635/10,906/45, numerators are 554,635,906
Denominators are 17,10,45
The GCF of 554,635,906 is 1 .
LCM of 17,10,45 is 1530.
The greatest common factor of 554/17,635/10,906/45 = [GCF of 554,635,906]/[LCM of 17,10,45]= 1/1530
Therefore, the GCF of 554/17,635/10,906/45 is 1/1530.
To find the highest common factor of 554,635,906, we have to find the factors of both numbers and list the highest common factor.
The factors of 554 are 1, 2, 277, 554
The factors of 635 are 1, 5, 127, 635
The factors of 906 are 1, 2, 3, 6, 151, 302, 453, 906
The HCF of 554,635,906 is 1.
Lets's calculate GCF of 554,635,906
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 554,635,906 By Matching Biggest Common Factor Method
Now, list down the factors of 554
:1,2,277,554
Now, list down the factors of 635
:1,5,127,635
Now, list down the factors of 906
:1,2,3,6,151,302,453,906
Greatest Common Factor
We found the factors 554,635,906 . The biggest common factor number is the GCF number.
So the greatest common factor 554,635,906 is 1.
Lets's calculate LCM of 17,10,45
| 5 | 17, 10, 45 |
| 17, 2, 9 |
∴ So the LCM of the given numbers is 5 x 17 x 2 x 9 = 1530
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1530
Therefore, the GCF of Fractions 554/17,635/10,906/45 is 1/1530
Least Common Multiple of 17,10,45 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 17,10,45 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(17,10,45) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(17,10,45) x common factors =1 x 5 = 5
LCM(17,10,45) = ( 17 × 10 × 45 ) / 5
LCM(17,10,45) = 7650 / 5
LCM(17,10,45) = 1530
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 554/17, 635/10, 906/45
1. What is the HCF of 554,635,906?
The HCF of 554,635,906 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 554/17, 635/10, 906/45?
Answer: GCF of Numerators as per given numbers 554/17, 635/10, 906/45 is
GCF of Numerators i.e. for 554,635,906 is 1
LCM of denominators i.e. for 17,10,45 is 1530.
Thus, GCF of Fractions is 1/1530.Finally, GCF of Fractions for 554/17, 635/10, 906/45 is 1/1530.