GCF of 4137/687, 7833/3121
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4137/687, 7833/3121 i.e 21/2144127 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4137/687, 7833/3121.
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 4137/687,7833/3121?
Given fractions are 4137/687,7833/3121
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 4137/687,7833/3121, numerators are 4137,7833
Denominators are 687,3121
The GCF of 4137,7833 is 21 .
LCM of 687,3121 is 2144127.
The greatest common factor of 4137/687,7833/3121 = [GCF of 4137,7833]/[LCM of 687,3121]= 21/2144127
Therefore, the GCF of 4137/687,7833/3121 is 21/2144127.
To find the highest common factor of 4137,7833, we have to find the factors of both numbers and list the highest common factor.
The factors of 4137 are 1, 3, 7, 21, 197, 591, 1379, 4137
The factors of 7833 are 1, 3, 7, 21, 373, 1119, 2611, 7833
The HCF of 4137,7833 is 21.
Lets's calculate GCF of 4137,7833
| 3 | 4137, 7833 |
| 7 | 1379, 2611 |
| 197, 373 |
∴ So the GCF of the given numbers is 3 x 7 = 21
Greatest Common Factor of 4137,7833 By Matching Biggest Common Factor Method
Now, list down the factors of 4137
:1,3,7,21,197,591,1379,4137
Now, list down the factors of 7833
:1,3,7,21,373,1119,2611,7833
Greatest Common Factor
We found the factors 4137,7833 . The biggest common factor number is the GCF number.
So the greatest common factor 4137,7833 is 21.
Lets's calculate LCM of 687,3121
Given numbers has no common factors except 1. So, there LCM is their product i.e 2144127
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 21/2144127
Therefore, the GCF of Fractions 4137/687,7833/3121 is 21/2144127
Least Common Multiple of 687,3121 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 687,3121 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(687,3121) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(687,3121) x common factors =1 x 1 = 1
LCM(687,3121) = ( 687 × 3121 ) / 1
LCM(687,3121) = 2144127 / 1
LCM(687,3121) = 2144127
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FAQs on GCF of Fractions of 4137/687, 7833/3121
1. What is the HCF of 4137,7833?
The HCF of 4137,7833 is 21
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 4137/687, 7833/3121?
Answer: GCF of Numerators as per given numbers 4137/687, 7833/3121 is
GCF of Numerators i.e. for 4137,7833 is 21
LCM of denominators i.e. for 687,3121 is 2144127.
Thus, GCF of Fractions is 21/2144127.Finally, GCF of Fractions for 4137/687, 7833/3121 is 21/2144127.