GCF of 4377/233, 3267/740
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4377/233, 3267/740 i.e 3/172420 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4377/233, 3267/740.
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 4377/233,3267/740?
Given fractions are 4377/233,3267/740
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 4377/233,3267/740, numerators are 4377,3267
Denominators are 233,740
The GCF of 4377,3267 is 3 .
LCM of 233,740 is 172420.
The greatest common factor of 4377/233,3267/740 = [GCF of 4377,3267]/[LCM of 233,740]= 3/172420
Therefore, the GCF of 4377/233,3267/740 is 3/172420.
To find the highest common factor of 4377,3267, we have to find the factors of both numbers and list the highest common factor.
The factors of 4377 are 1, 3, 1459, 4377
The factors of 3267 are 1, 3, 9, 11, 27, 33, 99, 121, 297, 363, 1089, 3267
The HCF of 4377,3267 is 3.
Lets's calculate GCF of 4377,3267
| 3 | 4377, 3267 |
| 1459, 1089 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4377,3267 By Matching Biggest Common Factor Method
Now, list down the factors of 4377
:1,3,1459,4377
Now, list down the factors of 3267
:1,3,9,11,27,33,99,121,297,363,1089,3267
Greatest Common Factor
We found the factors 4377,3267 . The biggest common factor number is the GCF number.
So the greatest common factor 4377,3267 is 3.
Lets's calculate LCM of 233,740
Given numbers has no common factors except 1. So, there LCM is their product i.e 172420
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/172420
Therefore, the GCF of Fractions 4377/233,3267/740 is 3/172420
Least Common Multiple of 233,740 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 233,740 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(233,740) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(233,740) x common factors =1 x 1 = 1
LCM(233,740) = ( 233 × 740 ) / 1
LCM(233,740) = 172420 / 1
LCM(233,740) = 172420
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FAQs on GCF of Fractions of 4377/233, 3267/740
1. What is the HCF of 4377,3267?
The HCF of 4377,3267 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 4377/233, 3267/740?
Answer: GCF of Numerators as per given numbers 4377/233, 3267/740 is
GCF of Numerators i.e. for 4377,3267 is 3
LCM of denominators i.e. for 233,740 is 172420.
Thus, GCF of Fractions is 3/172420.Finally, GCF of Fractions for 4377/233, 3267/740 is 3/172420.