GCF of 3165/395, 4642/2377
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3165/395, 4642/2377 i.e 211/938915 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3165/395, 4642/2377.
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 3165/395,4642/2377?
Given fractions are 3165/395,4642/2377
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 3165/395,4642/2377, numerators are 3165,4642
Denominators are 395,2377
The GCF of 3165,4642 is 211 .
LCM of 395,2377 is 938915.
The greatest common factor of 3165/395,4642/2377 = [GCF of 3165,4642]/[LCM of 395,2377]= 211/938915
Therefore, the GCF of 3165/395,4642/2377 is 211/938915.
To find the highest common factor of 3165,4642, we have to find the factors of both numbers and list the highest common factor.
The factors of 3165 are 1, 3, 5, 15, 211, 633, 1055, 3165
The factors of 4642 are 1, 2, 11, 22, 211, 422, 2321, 4642
The HCF of 3165,4642 is 211.
Lets's calculate GCF of 3165,4642
| 211 | 3165, 4642 |
| 15, 22 |
∴ So the GCF of the given numbers is 211 = 211
Greatest Common Factor of 3165,4642 By Matching Biggest Common Factor Method
Now, list down the factors of 3165
:1,3,5,15,211,633,1055,3165
Now, list down the factors of 4642
:1,2,11,22,211,422,2321,4642
Greatest Common Factor
We found the factors 3165,4642 . The biggest common factor number is the GCF number.
So the greatest common factor 3165,4642 is 211.
Lets's calculate LCM of 395,2377
Given numbers has no common factors except 1. So, there LCM is their product i.e 938915
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 211/938915
Therefore, the GCF of Fractions 3165/395,4642/2377 is 211/938915
Least Common Multiple of 395,2377 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 395,2377 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(395,2377) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(395,2377) x common factors =1 x 1 = 1
LCM(395,2377) = ( 395 × 2377 ) / 1
LCM(395,2377) = 938915 / 1
LCM(395,2377) = 938915
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FAQs on GCF of Fractions of 3165/395, 4642/2377
1. What is the HCF of 3165,4642?
The HCF of 3165,4642 is 211
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 3165/395, 4642/2377?
Answer: GCF of Numerators as per given numbers 3165/395, 4642/2377 is
GCF of Numerators i.e. for 3165,4642 is 211
LCM of denominators i.e. for 395,2377 is 938915.
Thus, GCF of Fractions is 211/938915.Finally, GCF of Fractions for 3165/395, 4642/2377 is 211/938915.