GCF of 447/49, 779/90, 160/18
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 447/49, 779/90, 160/18 i.e 1/4410 easily. The following is the detailed procedure to determine the greatest common factor of fractions 447/49, 779/90, 160/18.
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 447/49,779/90,160/18?
Given fractions are 447/49,779/90,160/18
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 447/49,779/90,160/18, numerators are 447,779,160
Denominators are 49,90,18
The GCF of 447,779,160 is 1 .
LCM of 49,90,18 is 4410.
The greatest common factor of 447/49,779/90,160/18 = [GCF of 447,779,160]/[LCM of 49,90,18]= 1/4410
Therefore, the GCF of 447/49,779/90,160/18 is 1/4410.
To find the highest common factor of 447,779,160, we have to find the factors of both numbers and list the highest common factor.
The factors of 447 are 1, 3, 149, 447
The factors of 779 are 1, 19, 41, 779
The factors of 160 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
The HCF of 447,779,160 is 1.
Lets's calculate GCF of 447,779,160
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 447,779,160 By Matching Biggest Common Factor Method
Now, list down the factors of 447
:1,3,149,447
Now, list down the factors of 779
:1,19,41,779
Now, list down the factors of 160
:1,2,4,5,8,10,16,20,32,40,80,160
Greatest Common Factor
We found the factors 447,779,160 . The biggest common factor number is the GCF number.
So the greatest common factor 447,779,160 is 1.
Lets's calculate LCM of 49,90,18
| 2 | 49, 90, 18 |
| 3 | 49, 45, 9 |
| 3 | 49, 15, 3 |
| 49, 5, 1 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 49 x 5 x 1 = 4410
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4410
Therefore, the GCF of Fractions 447/49,779/90,160/18 is 1/4410
Least Common Multiple of 49,90,18 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 49,90,18 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(49,90,18) = 1
common factors(in case of two or more numbers have common factors) = 18
GCF(49,90,18) x common factors =1 x 18 = 18
LCM(49,90,18) = ( 49 × 90 × 18 ) / 18
LCM(49,90,18) = 79380 / 18
LCM(49,90,18) = 4410
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FAQs on GCF of Fractions of 447/49, 779/90, 160/18
1. What is the HCF of 447,779,160?
The HCF of 447,779,160 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 447/49, 779/90, 160/18?
Answer: GCF of Numerators as per given numbers 447/49, 779/90, 160/18 is
GCF of Numerators i.e. for 447,779,160 is 1
LCM of denominators i.e. for 49,90,18 is 4410.
Thus, GCF of Fractions is 1/4410.Finally, GCF of Fractions for 447/49, 779/90, 160/18 is 1/4410.