GCF of 3555/150, 4470/7079
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3555/150, 4470/7079 i.e 15/1061850 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3555/150, 4470/7079.
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 3555/150,4470/7079?
Given fractions are 3555/150,4470/7079
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 3555/150,4470/7079, numerators are 3555,4470
Denominators are 150,7079
The GCF of 3555,4470 is 15 .
LCM of 150,7079 is 1061850.
The greatest common factor of 3555/150,4470/7079 = [GCF of 3555,4470]/[LCM of 150,7079]= 15/1061850
Therefore, the GCF of 3555/150,4470/7079 is 15/1061850.
To find the highest common factor of 3555,4470, we have to find the factors of both numbers and list the highest common factor.
The factors of 3555 are 1, 3, 5, 9, 15, 45, 79, 237, 395, 711, 1185, 3555
The factors of 4470 are 1, 2, 3, 5, 6, 10, 15, 30, 149, 298, 447, 745, 894, 1490, 2235, 4470
The HCF of 3555,4470 is 15.
Lets's calculate GCF of 3555,4470
| 3 | 3555, 4470 |
| 5 | 1185, 1490 |
| 237, 298 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Greatest Common Factor of 3555,4470 By Matching Biggest Common Factor Method
Now, list down the factors of 3555
:1,3,5,9,15,45,79,237,395,711,1185,3555
Now, list down the factors of 4470
:1,2,3,5,6,10,15,30,149,298,447,745,894,1490,2235,4470
Greatest Common Factor
We found the factors 3555,4470 . The biggest common factor number is the GCF number.
So the greatest common factor 3555,4470 is 15.
Lets's calculate LCM of 150,7079
Given numbers has no common factors except 1. So, there LCM is their product i.e 1061850
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/1061850
Therefore, the GCF of Fractions 3555/150,4470/7079 is 15/1061850
Least Common Multiple of 150,7079 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 150,7079 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(150,7079) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(150,7079) x common factors =1 x 1 = 1
LCM(150,7079) = ( 150 × 7079 ) / 1
LCM(150,7079) = 1061850 / 1
LCM(150,7079) = 1061850
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FAQs on GCF of Fractions of 3555/150, 4470/7079
1. What is the HCF of 3555,4470?
The HCF of 3555,4470 is 15
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 3555/150, 4470/7079?
Answer: GCF of Numerators as per given numbers 3555/150, 4470/7079 is
GCF of Numerators i.e. for 3555,4470 is 15
LCM of denominators i.e. for 150,7079 is 1061850.
Thus, GCF of Fractions is 15/1061850.Finally, GCF of Fractions for 3555/150, 4470/7079 is 15/1061850.