GCF of 3720/12, 3669/351
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3720/12, 3669/351 i.e 3/1404 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3720/12, 3669/351.
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 3720/12,3669/351?
Given fractions are 3720/12,3669/351
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 3720/12,3669/351, numerators are 3720,3669
Denominators are 12,351
The GCF of 3720,3669 is 3 .
LCM of 12,351 is 1404.
The greatest common factor of 3720/12,3669/351 = [GCF of 3720,3669]/[LCM of 12,351]= 3/1404
Therefore, the GCF of 3720/12,3669/351 is 3/1404.
To find the highest common factor of 3720,3669, we have to find the factors of both numbers and list the highest common factor.
The factors of 3720 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 31, 40, 60, 62, 93, 120, 124, 155, 186, 248, 310, 372, 465, 620, 744, 930, 1240, 1860, 3720
The factors of 3669 are 1, 3, 1223, 3669
The HCF of 3720,3669 is 3.
Lets's calculate GCF of 3720,3669
| 3 | 3720, 3669 |
| 1240, 1223 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3720,3669 By Matching Biggest Common Factor Method
Now, list down the factors of 3720
:1,2,3,4,5,6,8,10,12,15,20,24,30,31,40,60,62,93,120,124,155,186,248,310,372,465,620,744,930,1240,1860,3720
Now, list down the factors of 3669
:1,3,1223,3669
Greatest Common Factor
We found the factors 3720,3669 . The biggest common factor number is the GCF number.
So the greatest common factor 3720,3669 is 3.
Lets's calculate LCM of 12,351
| 3 | 12, 351 |
| 4, 117 |
∴ So the LCM of the given numbers is 3 x 4 x 117 = 1404
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1404
Therefore, the GCF of Fractions 3720/12,3669/351 is 3/1404
Least Common Multiple of 12,351 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 12,351 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(12,351) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(12,351) x common factors =3 x 1 = 3
LCM(12,351) = ( 12 × 351 ) / 3
LCM(12,351) = 4212 / 3
LCM(12,351) = 1404
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FAQs on GCF of Fractions of 3720/12, 3669/351
1. What is the HCF of 3720,3669?
The HCF of 3720,3669 is 3
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 3720/12, 3669/351?
Answer: GCF of Numerators as per given numbers 3720/12, 3669/351 is
GCF of Numerators i.e. for 3720,3669 is 3
LCM of denominators i.e. for 12,351 is 1404.
Thus, GCF of Fractions is 3/1404.Finally, GCF of Fractions for 3720/12, 3669/351 is 3/1404.