GCF of 740/723, 3776/669
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 740/723, 3776/669 i.e 4/161229 easily. The following is the detailed procedure to determine the greatest common factor of fractions 740/723, 3776/669.
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 740/723,3776/669?
Given fractions are 740/723,3776/669
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 740/723,3776/669, numerators are 740,3776
Denominators are 723,669
The GCF of 740,3776 is 4 .
LCM of 723,669 is 161229.
The greatest common factor of 740/723,3776/669 = [GCF of 740,3776]/[LCM of 723,669]= 4/161229
Therefore, the GCF of 740/723,3776/669 is 4/161229.
To find the highest common factor of 740,3776, we have to find the factors of both numbers and list the highest common factor.
The factors of 740 are 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
The factors of 3776 are 1, 2, 4, 8, 16, 32, 59, 64, 118, 236, 472, 944, 1888, 3776
The HCF of 740,3776 is 4.
Lets's calculate GCF of 740,3776
| 2 | 740, 3776 |
| 2 | 370, 1888 |
| 185, 944 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 740,3776 By Matching Biggest Common Factor Method
Now, list down the factors of 740
:1,2,4,5,10,20,37,74,148,185,370,740
Now, list down the factors of 3776
:1,2,4,8,16,32,59,64,118,236,472,944,1888,3776
Greatest Common Factor
We found the factors 740,3776 . The biggest common factor number is the GCF number.
So the greatest common factor 740,3776 is 4.
Lets's calculate LCM of 723,669
| 3 | 723, 669 |
| 241, 223 |
∴ So the LCM of the given numbers is 3 x 241 x 223 = 161229
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/161229
Therefore, the GCF of Fractions 740/723,3776/669 is 4/161229
Least Common Multiple of 723,669 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 723,669 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(723,669) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(723,669) x common factors =3 x 1 = 3
LCM(723,669) = ( 723 × 669 ) / 3
LCM(723,669) = 483687 / 3
LCM(723,669) = 161229
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FAQs on GCF of Fractions of 740/723, 3776/669
1. What is the HCF of 740,3776?
The HCF of 740,3776 is 4
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 740/723, 3776/669?
Answer: GCF of Numerators as per given numbers 740/723, 3776/669 is
GCF of Numerators i.e. for 740,3776 is 4
LCM of denominators i.e. for 723,669 is 161229.
Thus, GCF of Fractions is 4/161229.Finally, GCF of Fractions for 740/723, 3776/669 is 4/161229.