GCF of 6338/165, 3679/311
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6338/165, 3679/311 i.e 1/51315 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6338/165, 3679/311.
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 6338/165,3679/311?
Given fractions are 6338/165,3679/311
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 6338/165,3679/311, numerators are 6338,3679
Denominators are 165,311
The GCF of 6338,3679 is 1 .
LCM of 165,311 is 51315.
The greatest common factor of 6338/165,3679/311 = [GCF of 6338,3679]/[LCM of 165,311]= 1/51315
Therefore, the GCF of 6338/165,3679/311 is 1/51315.
To find the highest common factor of 6338,3679, we have to find the factors of both numbers and list the highest common factor.
The factors of 6338 are 1, 2, 3169, 6338
The factors of 3679 are 1, 13, 283, 3679
The HCF of 6338,3679 is 1.
Lets's calculate GCF of 6338,3679
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6338,3679 By Matching Biggest Common Factor Method
Now, list down the factors of 6338
:1,2,3169,6338
Now, list down the factors of 3679
:1,13,283,3679
Greatest Common Factor
We found the factors 6338,3679 . The biggest common factor number is the GCF number.
So the greatest common factor 6338,3679 is 1.
Lets's calculate LCM of 165,311
Given numbers has no common factors except 1. So, there LCM is their product i.e 51315
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/51315
Therefore, the GCF of Fractions 6338/165,3679/311 is 1/51315
Least Common Multiple of 165,311 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 165,311 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(165,311) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(165,311) x common factors =1 x 1 = 1
LCM(165,311) = ( 165 × 311 ) / 1
LCM(165,311) = 51315 / 1
LCM(165,311) = 51315
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FAQs on GCF of Fractions of 6338/165, 3679/311
1. What is the HCF of 6338,3679?
The HCF of 6338,3679 is 1
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 6338/165, 3679/311?
Answer: GCF of Numerators as per given numbers 6338/165, 3679/311 is
GCF of Numerators i.e. for 6338,3679 is 1
LCM of denominators i.e. for 165,311 is 51315.
Thus, GCF of Fractions is 1/51315.Finally, GCF of Fractions for 6338/165, 3679/311 is 1/51315.