GCF of 2318/557, 7581/3024
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2318/557, 7581/3024 i.e 19/1684368 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2318/557, 7581/3024.
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 2318/557,7581/3024?
Given fractions are 2318/557,7581/3024
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 2318/557,7581/3024, numerators are 2318,7581
Denominators are 557,3024
The GCF of 2318,7581 is 19 .
LCM of 557,3024 is 1684368.
The greatest common factor of 2318/557,7581/3024 = [GCF of 2318,7581]/[LCM of 557,3024]= 19/1684368
Therefore, the GCF of 2318/557,7581/3024 is 19/1684368.
To find the highest common factor of 2318,7581, we have to find the factors of both numbers and list the highest common factor.
The factors of 2318 are 1, 2, 19, 38, 61, 122, 1159, 2318
The factors of 7581 are 1, 3, 7, 19, 21, 57, 133, 361, 399, 1083, 2527, 7581
The HCF of 2318,7581 is 19.
Lets's calculate GCF of 2318,7581
| 19 | 2318, 7581 |
| 122, 399 |
∴ So the GCF of the given numbers is 19 = 19
Greatest Common Factor of 2318,7581 By Matching Biggest Common Factor Method
Now, list down the factors of 2318
:1,2,19,38,61,122,1159,2318
Now, list down the factors of 7581
:1,3,7,19,21,57,133,361,399,1083,2527,7581
Greatest Common Factor
We found the factors 2318,7581 . The biggest common factor number is the GCF number.
So the greatest common factor 2318,7581 is 19.
Lets's calculate LCM of 557,3024
Given numbers has no common factors except 1. So, there LCM is their product i.e 1684368
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/1684368
Therefore, the GCF of Fractions 2318/557,7581/3024 is 19/1684368
Least Common Multiple of 557,3024 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 557,3024 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(557,3024) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(557,3024) x common factors =1 x 1 = 1
LCM(557,3024) = ( 557 × 3024 ) / 1
LCM(557,3024) = 1684368 / 1
LCM(557,3024) = 1684368
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FAQs on GCF of Fractions of 2318/557, 7581/3024
1. What is the HCF of 2318,7581?
The HCF of 2318,7581 is 19
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 2318/557, 7581/3024?
Answer: GCF of Numerators as per given numbers 2318/557, 7581/3024 is
GCF of Numerators i.e. for 2318,7581 is 19
LCM of denominators i.e. for 557,3024 is 1684368.
Thus, GCF of Fractions is 19/1684368.Finally, GCF of Fractions for 2318/557, 7581/3024 is 19/1684368.