GCF of 4635/338, 1971/5879
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4635/338, 1971/5879 i.e 9/1987102 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4635/338, 1971/5879.
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 4635/338,1971/5879?
Given fractions are 4635/338,1971/5879
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 4635/338,1971/5879, numerators are 4635,1971
Denominators are 338,5879
The GCF of 4635,1971 is 9 .
LCM of 338,5879 is 1987102.
The greatest common factor of 4635/338,1971/5879 = [GCF of 4635,1971]/[LCM of 338,5879]= 9/1987102
Therefore, the GCF of 4635/338,1971/5879 is 9/1987102.
To find the highest common factor of 4635,1971, we have to find the factors of both numbers and list the highest common factor.
The factors of 4635 are 1, 3, 5, 9, 15, 45, 103, 309, 515, 927, 1545, 4635
The factors of 1971 are 1, 3, 9, 27, 73, 219, 657, 1971
The HCF of 4635,1971 is 9.
Lets's calculate GCF of 4635,1971
| 3 | 4635, 1971 |
| 3 | 1545, 657 |
| 515, 219 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 4635,1971 By Matching Biggest Common Factor Method
Now, list down the factors of 4635
:1,3,5,9,15,45,103,309,515,927,1545,4635
Now, list down the factors of 1971
:1,3,9,27,73,219,657,1971
Greatest Common Factor
We found the factors 4635,1971 . The biggest common factor number is the GCF number.
So the greatest common factor 4635,1971 is 9.
Lets's calculate LCM of 338,5879
Given numbers has no common factors except 1. So, there LCM is their product i.e 1987102
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/1987102
Therefore, the GCF of Fractions 4635/338,1971/5879 is 9/1987102
Least Common Multiple of 338,5879 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 338,5879 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(338,5879) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(338,5879) x common factors =1 x 1 = 1
LCM(338,5879) = ( 338 × 5879 ) / 1
LCM(338,5879) = 1987102 / 1
LCM(338,5879) = 1987102
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FAQs on GCF of Fractions of 4635/338, 1971/5879
1. What is the HCF of 4635,1971?
The HCF of 4635,1971 is 9
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 4635/338, 1971/5879?
Answer: GCF of Numerators as per given numbers 4635/338, 1971/5879 is
GCF of Numerators i.e. for 4635,1971 is 9
LCM of denominators i.e. for 338,5879 is 1987102.
Thus, GCF of Fractions is 9/1987102.Finally, GCF of Fractions for 4635/338, 1971/5879 is 9/1987102.