GCF of 3609/954, 7567/2376
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3609/954, 7567/2376 i.e 1/125928 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3609/954, 7567/2376.
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 3609/954,7567/2376?
Given fractions are 3609/954,7567/2376
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 3609/954,7567/2376, numerators are 3609,7567
Denominators are 954,2376
The GCF of 3609,7567 is 1 .
LCM of 954,2376 is 125928.
The greatest common factor of 3609/954,7567/2376 = [GCF of 3609,7567]/[LCM of 954,2376]= 1/125928
Therefore, the GCF of 3609/954,7567/2376 is 1/125928.
To find the highest common factor of 3609,7567, we have to find the factors of both numbers and list the highest common factor.
The factors of 3609 are 1, 3, 9, 401, 1203, 3609
The factors of 7567 are 1, 7, 23, 47, 161, 329, 1081, 7567
The HCF of 3609,7567 is 1.
Lets's calculate GCF of 3609,7567
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3609,7567 By Matching Biggest Common Factor Method
Now, list down the factors of 3609
:1,3,9,401,1203,3609
Now, list down the factors of 7567
:1,7,23,47,161,329,1081,7567
Greatest Common Factor
We found the factors 3609,7567 . The biggest common factor number is the GCF number.
So the greatest common factor 3609,7567 is 1.
Lets's calculate LCM of 954,2376
| 2 | 954, 2376 |
| 3 | 477, 1188 |
| 3 | 159, 396 |
| 53, 132 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 53 x 132 = 125928
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/125928
Therefore, the GCF of Fractions 3609/954,7567/2376 is 1/125928
Least Common Multiple of 954,2376 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 954,2376 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(954,2376) = 18
common factors(in case of two or more numbers have common factors) = 1
GCF(954,2376) x common factors =18 x 1 = 18
LCM(954,2376) = ( 954 × 2376 ) / 18
LCM(954,2376) = 2266704 / 18
LCM(954,2376) = 125928
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FAQs on GCF of Fractions of 3609/954, 7567/2376
1. What is the HCF of 3609,7567?
The HCF of 3609,7567 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 3609/954, 7567/2376?
Answer: GCF of Numerators as per given numbers 3609/954, 7567/2376 is
GCF of Numerators i.e. for 3609,7567 is 1
LCM of denominators i.e. for 954,2376 is 125928.
Thus, GCF of Fractions is 1/125928.Finally, GCF of Fractions for 3609/954, 7567/2376 is 1/125928.