GCF of 440/18, 474/3120
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 440/18, 474/3120 i.e 2/9360 easily. The following is the detailed procedure to determine the greatest common factor of fractions 440/18, 474/3120.
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 440/18,474/3120?
Given fractions are 440/18,474/3120
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 440/18,474/3120, numerators are 440,474
Denominators are 18,3120
The GCF of 440,474 is 2 .
LCM of 18,3120 is 9360.
The greatest common factor of 440/18,474/3120 = [GCF of 440,474]/[LCM of 18,3120]= 2/9360
Therefore, the GCF of 440/18,474/3120 is 2/9360.
To find the highest common factor of 440,474, we have to find the factors of both numbers and list the highest common factor.
The factors of 440 are 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
The factors of 474 are 1, 2, 3, 6, 79, 158, 237, 474
The HCF of 440,474 is 2.
Lets's calculate GCF of 440,474
| 2 | 440, 474 |
| 220, 237 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 440,474 By Matching Biggest Common Factor Method
Now, list down the factors of 440
:1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440
Now, list down the factors of 474
:1,2,3,6,79,158,237,474
Greatest Common Factor
We found the factors 440,474 . The biggest common factor number is the GCF number.
So the greatest common factor 440,474 is 2.
Lets's calculate LCM of 18,3120
| 2 | 18, 3120 |
| 3 | 9, 1560 |
| 3, 520 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 520 = 9360
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/9360
Therefore, the GCF of Fractions 440/18,474/3120 is 2/9360
Least Common Multiple of 18,3120 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 18,3120 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(18,3120) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(18,3120) x common factors =6 x 1 = 6
LCM(18,3120) = ( 18 × 3120 ) / 6
LCM(18,3120) = 56160 / 6
LCM(18,3120) = 9360
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FAQs on GCF of Fractions of 440/18, 474/3120
1. What is the HCF of 440,474?
The HCF of 440,474 is 2
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 440/18, 474/3120?
Answer: GCF of Numerators as per given numbers 440/18, 474/3120 is
GCF of Numerators i.e. for 440,474 is 2
LCM of denominators i.e. for 18,3120 is 9360.
Thus, GCF of Fractions is 2/9360.Finally, GCF of Fractions for 440/18, 474/3120 is 2/9360.