GCF of 9595/468, 2374/9426
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9595/468, 2374/9426 i.e 1/735228 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9595/468, 2374/9426.
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 9595/468,2374/9426?
Given fractions are 9595/468,2374/9426
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 9595/468,2374/9426, numerators are 9595,2374
Denominators are 468,9426
The GCF of 9595,2374 is 1 .
LCM of 468,9426 is 735228.
The greatest common factor of 9595/468,2374/9426 = [GCF of 9595,2374]/[LCM of 468,9426]= 1/735228
Therefore, the GCF of 9595/468,2374/9426 is 1/735228.
To find the highest common factor of 9595,2374, we have to find the factors of both numbers and list the highest common factor.
The factors of 9595 are 1, 5, 19, 95, 101, 505, 1919, 9595
The factors of 2374 are 1, 2, 1187, 2374
The HCF of 9595,2374 is 1.
Lets's calculate GCF of 9595,2374
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9595,2374 By Matching Biggest Common Factor Method
Now, list down the factors of 9595
:1,5,19,95,101,505,1919,9595
Now, list down the factors of 2374
:1,2,1187,2374
Greatest Common Factor
We found the factors 9595,2374 . The biggest common factor number is the GCF number.
So the greatest common factor 9595,2374 is 1.
Lets's calculate LCM of 468,9426
| 2 | 468, 9426 |
| 3 | 234, 4713 |
| 78, 1571 |
∴ So the LCM of the given numbers is 2 x 3 x 78 x 1571 = 735228
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/735228
Therefore, the GCF of Fractions 9595/468,2374/9426 is 1/735228
Least Common Multiple of 468,9426 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 468,9426 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(468,9426) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(468,9426) x common factors =6 x 1 = 6
LCM(468,9426) = ( 468 × 9426 ) / 6
LCM(468,9426) = 4411368 / 6
LCM(468,9426) = 735228
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FAQs on GCF of Fractions of 9595/468, 2374/9426
1. What is the HCF of 9595,2374?
The HCF of 9595,2374 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 9595/468, 2374/9426?
Answer: GCF of Numerators as per given numbers 9595/468, 2374/9426 is
GCF of Numerators i.e. for 9595,2374 is 1
LCM of denominators i.e. for 468,9426 is 735228.
Thus, GCF of Fractions is 1/735228.Finally, GCF of Fractions for 9595/468, 2374/9426 is 1/735228.