GCF of 2923/730, 1665/381
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2923/730, 1665/381 i.e 37/278130 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2923/730, 1665/381.
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 2923/730,1665/381?
Given fractions are 2923/730,1665/381
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 2923/730,1665/381, numerators are 2923,1665
Denominators are 730,381
The GCF of 2923,1665 is 37 .
LCM of 730,381 is 278130.
The greatest common factor of 2923/730,1665/381 = [GCF of 2923,1665]/[LCM of 730,381]= 37/278130
Therefore, the GCF of 2923/730,1665/381 is 37/278130.
To find the highest common factor of 2923,1665, we have to find the factors of both numbers and list the highest common factor.
The factors of 2923 are 1, 37, 79, 2923
The factors of 1665 are 1, 3, 5, 9, 15, 37, 45, 111, 185, 333, 555, 1665
The HCF of 2923,1665 is 37.
Lets's calculate GCF of 2923,1665
| 37 | 2923, 1665 |
| 79, 45 |
∴ So the GCF of the given numbers is 37 = 37
Greatest Common Factor of 2923,1665 By Matching Biggest Common Factor Method
Now, list down the factors of 2923
:1,37,79,2923
Now, list down the factors of 1665
:1,3,5,9,15,37,45,111,185,333,555,1665
Greatest Common Factor
We found the factors 2923,1665 . The biggest common factor number is the GCF number.
So the greatest common factor 2923,1665 is 37.
Lets's calculate LCM of 730,381
Given numbers has no common factors except 1. So, there LCM is their product i.e 278130
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 37/278130
Therefore, the GCF of Fractions 2923/730,1665/381 is 37/278130
Least Common Multiple of 730,381 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 730,381 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(730,381) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(730,381) x common factors =1 x 1 = 1
LCM(730,381) = ( 730 × 381 ) / 1
LCM(730,381) = 278130 / 1
LCM(730,381) = 278130
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FAQs on GCF of Fractions of 2923/730, 1665/381
1. What is the HCF of 2923,1665?
The HCF of 2923,1665 is 37
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 2923/730, 1665/381?
Answer: GCF of Numerators as per given numbers 2923/730, 1665/381 is
GCF of Numerators i.e. for 2923,1665 is 37
LCM of denominators i.e. for 730,381 is 278130.
Thus, GCF of Fractions is 37/278130.Finally, GCF of Fractions for 2923/730, 1665/381 is 37/278130.