GCF of 472/404, 829/390, 120/606
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 472/404, 829/390, 120/606 i.e 1/78780 easily. The following is the detailed procedure to determine the greatest common factor of fractions 472/404, 829/390, 120/606.
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 472/404,829/390,120/606?
Given fractions are 472/404,829/390,120/606
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 472/404,829/390,120/606, numerators are 472,829,120
Denominators are 404,390,606
The GCF of 472,829,120 is 1 .
LCM of 404,390,606 is 78780.
The greatest common factor of 472/404,829/390,120/606 = [GCF of 472,829,120]/[LCM of 404,390,606]= 1/78780
Therefore, the GCF of 472/404,829/390,120/606 is 1/78780.
To find the highest common factor of 472,829,120, we have to find the factors of both numbers and list the highest common factor.
The factors of 472 are 1, 2, 4, 8, 59, 118, 236, 472
The factors of 829 are 1, 829
The factors of 120 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
The HCF of 472,829,120 is 1.
Lets's calculate GCF of 472,829,120
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 472,829,120 By Matching Biggest Common Factor Method
Now, list down the factors of 472
:1,2,4,8,59,118,236,472
Now, list down the factors of 829
:1,829
Now, list down the factors of 120
:1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120
Greatest Common Factor
We found the factors 472,829,120 . The biggest common factor number is the GCF number.
So the greatest common factor 472,829,120 is 1.
Lets's calculate LCM of 404,390,606
| 2 | 404, 390, 606 |
| 3 | 202, 195, 303 |
| 101 | 202, 65, 101 |
| 2, 65, 1 |
∴ So the LCM of the given numbers is 2 x 3 x 101 x 2 x 65 x 1 = 78780
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/78780
Therefore, the GCF of Fractions 472/404,829/390,120/606 is 1/78780
Least Common Multiple of 404,390,606 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 404,390,606 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(404,390,606) = 2
common factors(in case of two or more numbers have common factors) = 606
GCF(404,390,606) x common factors =2 x 606 = 1212
LCM(404,390,606) = ( 404 × 390 × 606 ) / 1212
LCM(404,390,606) = 95481360 / 1212
LCM(404,390,606) = 78780
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FAQs on GCF of Fractions of 472/404, 829/390, 120/606
1. What is the HCF of 472,829,120?
The HCF of 472,829,120 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 472/404, 829/390, 120/606?
Answer: GCF of Numerators as per given numbers 472/404, 829/390, 120/606 is
GCF of Numerators i.e. for 472,829,120 is 1
LCM of denominators i.e. for 404,390,606 is 78780.
Thus, GCF of Fractions is 1/78780.Finally, GCF of Fractions for 472/404, 829/390, 120/606 is 1/78780.