GCF of 7619/918, 5382/2259
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7619/918, 5382/2259 i.e 1/230418 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7619/918, 5382/2259.
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 7619/918,5382/2259?
Given fractions are 7619/918,5382/2259
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 7619/918,5382/2259, numerators are 7619,5382
Denominators are 918,2259
The GCF of 7619,5382 is 1 .
LCM of 918,2259 is 230418.
The greatest common factor of 7619/918,5382/2259 = [GCF of 7619,5382]/[LCM of 918,2259]= 1/230418
Therefore, the GCF of 7619/918,5382/2259 is 1/230418.
To find the highest common factor of 7619,5382, we have to find the factors of both numbers and list the highest common factor.
The factors of 7619 are 1, 19, 401, 7619
The factors of 5382 are 1, 2, 3, 6, 9, 13, 18, 23, 26, 39, 46, 69, 78, 117, 138, 207, 234, 299, 414, 598, 897, 1794, 2691, 5382
The HCF of 7619,5382 is 1.
Lets's calculate GCF of 7619,5382
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7619,5382 By Matching Biggest Common Factor Method
Now, list down the factors of 7619
:1,19,401,7619
Now, list down the factors of 5382
:1,2,3,6,9,13,18,23,26,39,46,69,78,117,138,207,234,299,414,598,897,1794,2691,5382
Greatest Common Factor
We found the factors 7619,5382 . The biggest common factor number is the GCF number.
So the greatest common factor 7619,5382 is 1.
Lets's calculate LCM of 918,2259
| 3 | 918, 2259 |
| 3 | 306, 753 |
| 102, 251 |
∴ So the LCM of the given numbers is 3 x 3 x 102 x 251 = 230418
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/230418
Therefore, the GCF of Fractions 7619/918,5382/2259 is 1/230418
Least Common Multiple of 918,2259 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 918,2259 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(918,2259) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(918,2259) x common factors =9 x 1 = 9
LCM(918,2259) = ( 918 × 2259 ) / 9
LCM(918,2259) = 2073762 / 9
LCM(918,2259) = 230418
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FAQs on GCF of Fractions of 7619/918, 5382/2259
1. What is the HCF of 7619,5382?
The HCF of 7619,5382 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 7619/918, 5382/2259?
Answer: GCF of Numerators as per given numbers 7619/918, 5382/2259 is
GCF of Numerators i.e. for 7619,5382 is 1
LCM of denominators i.e. for 918,2259 is 230418.
Thus, GCF of Fractions is 1/230418.Finally, GCF of Fractions for 7619/918, 5382/2259 is 1/230418.