GCF of 14/207, 20/634, 480/662
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 14/207, 20/634, 480/662 i.e 2/43439778 easily. The following is the detailed procedure to determine the greatest common factor of fractions 14/207, 20/634, 480/662.
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 14/207,20/634,480/662?
Given fractions are 14/207,20/634,480/662
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 14/207,20/634,480/662, numerators are 14,20,480
Denominators are 207,634,662
The GCF of 14,20,480 is 2 .
LCM of 207,634,662 is 43439778.
The greatest common factor of 14/207,20/634,480/662 = [GCF of 14,20,480]/[LCM of 207,634,662]= 2/43439778
Therefore, the GCF of 14/207,20/634,480/662 is 2/43439778.
To find the highest common factor of 14,20,480, we have to find the factors of both numbers and list the highest common factor.
The factors of 14 are 1, 2, 7, 14
The factors of 20 are 1, 2, 4, 5, 10, 20
The factors of 480 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
The HCF of 14,20,480 is 2.
Lets's calculate GCF of 14,20,480
| 2 | 14, 20, 480 |
| 7, 10, 240 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 14,20,480 By Matching Biggest Common Factor Method
Now, list down the factors of 14
:1,2,7,14
Now, list down the factors of 20
:1,2,4,5,10,20
Now, list down the factors of 480
:1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,80,96,120,160,240,480
Greatest Common Factor
We found the factors 14,20,480 . The biggest common factor number is the GCF number.
So the greatest common factor 14,20,480 is 2.
Lets's calculate LCM of 207,634,662
| 2 | 207, 634, 662 |
| 207, 317, 331 |
∴ So the LCM of the given numbers is 2 x 207 x 317 x 331 = 43439778
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/43439778
Therefore, the GCF of Fractions 14/207,20/634,480/662 is 2/43439778
Least Common Multiple of 207,634,662 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 207,634,662 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(207,634,662) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(207,634,662) x common factors =1 x 2 = 2
LCM(207,634,662) = ( 207 × 634 × 662 ) / 2
LCM(207,634,662) = 86879556 / 2
LCM(207,634,662) = 43439778
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FAQs on GCF of Fractions of 14/207, 20/634, 480/662
1. What is the HCF of 14,20,480?
The HCF of 14,20,480 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 14/207, 20/634, 480/662?
Answer: GCF of Numerators as per given numbers 14/207, 20/634, 480/662 is
GCF of Numerators i.e. for 14,20,480 is 2
LCM of denominators i.e. for 207,634,662 is 43439778.
Thus, GCF of Fractions is 2/43439778.Finally, GCF of Fractions for 14/207, 20/634, 480/662 is 2/43439778.