GCF of 1209/526, 4611/7638
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1209/526, 4611/7638 i.e 3/2008794 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1209/526, 4611/7638.
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 1209/526,4611/7638?
Given fractions are 1209/526,4611/7638
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 1209/526,4611/7638, numerators are 1209,4611
Denominators are 526,7638
The GCF of 1209,4611 is 3 .
LCM of 526,7638 is 2008794.
The greatest common factor of 1209/526,4611/7638 = [GCF of 1209,4611]/[LCM of 526,7638]= 3/2008794
Therefore, the GCF of 1209/526,4611/7638 is 3/2008794.
To find the highest common factor of 1209,4611, we have to find the factors of both numbers and list the highest common factor.
The factors of 1209 are 1, 3, 13, 31, 39, 93, 403, 1209
The factors of 4611 are 1, 3, 29, 53, 87, 159, 1537, 4611
The HCF of 1209,4611 is 3.
Lets's calculate GCF of 1209,4611
| 3 | 1209, 4611 |
| 403, 1537 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1209,4611 By Matching Biggest Common Factor Method
Now, list down the factors of 1209
:1,3,13,31,39,93,403,1209
Now, list down the factors of 4611
:1,3,29,53,87,159,1537,4611
Greatest Common Factor
We found the factors 1209,4611 . The biggest common factor number is the GCF number.
So the greatest common factor 1209,4611 is 3.
Lets's calculate LCM of 526,7638
| 2 | 526, 7638 |
| 263, 3819 |
∴ So the LCM of the given numbers is 2 x 263 x 3819 = 2008794
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2008794
Therefore, the GCF of Fractions 1209/526,4611/7638 is 3/2008794
Least Common Multiple of 526,7638 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 526,7638 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(526,7638) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(526,7638) x common factors =2 x 1 = 2
LCM(526,7638) = ( 526 × 7638 ) / 2
LCM(526,7638) = 4017588 / 2
LCM(526,7638) = 2008794
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1209/526, 4611/7638
1. What is the HCF of 1209,4611?
The HCF of 1209,4611 is 3
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 1209/526, 4611/7638?
Answer: GCF of Numerators as per given numbers 1209/526, 4611/7638 is
GCF of Numerators i.e. for 1209,4611 is 3
LCM of denominators i.e. for 526,7638 is 2008794.
Thus, GCF of Fractions is 3/2008794.Finally, GCF of Fractions for 1209/526, 4611/7638 is 3/2008794.