GCF of 9425/872, 5768/418
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9425/872, 5768/418 i.e 1/182248 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9425/872, 5768/418.
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 9425/872,5768/418?
Given fractions are 9425/872,5768/418
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 9425/872,5768/418, numerators are 9425,5768
Denominators are 872,418
The GCF of 9425,5768 is 1 .
LCM of 872,418 is 182248.
The greatest common factor of 9425/872,5768/418 = [GCF of 9425,5768]/[LCM of 872,418]= 1/182248
Therefore, the GCF of 9425/872,5768/418 is 1/182248.
To find the highest common factor of 9425,5768, we have to find the factors of both numbers and list the highest common factor.
The factors of 9425 are 1, 5, 13, 25, 29, 65, 145, 325, 377, 725, 1885, 9425
The factors of 5768 are 1, 2, 4, 7, 8, 14, 28, 56, 103, 206, 412, 721, 824, 1442, 2884, 5768
The HCF of 9425,5768 is 1.
Lets's calculate GCF of 9425,5768
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9425,5768 By Matching Biggest Common Factor Method
Now, list down the factors of 9425
:1,5,13,25,29,65,145,325,377,725,1885,9425
Now, list down the factors of 5768
:1,2,4,7,8,14,28,56,103,206,412,721,824,1442,2884,5768
Greatest Common Factor
We found the factors 9425,5768 . The biggest common factor number is the GCF number.
So the greatest common factor 9425,5768 is 1.
Lets's calculate LCM of 872,418
| 2 | 872, 418 |
| 436, 209 |
∴ So the LCM of the given numbers is 2 x 436 x 209 = 182248
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/182248
Therefore, the GCF of Fractions 9425/872,5768/418 is 1/182248
Least Common Multiple of 872,418 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 872,418 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(872,418) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(872,418) x common factors =2 x 1 = 2
LCM(872,418) = ( 872 × 418 ) / 2
LCM(872,418) = 364496 / 2
LCM(872,418) = 182248
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FAQs on GCF of Fractions of 9425/872, 5768/418
1. What is the HCF of 9425,5768?
The HCF of 9425,5768 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 9425/872, 5768/418?
Answer: GCF of Numerators as per given numbers 9425/872, 5768/418 is
GCF of Numerators i.e. for 9425,5768 is 1
LCM of denominators i.e. for 872,418 is 182248.
Thus, GCF of Fractions is 1/182248.Finally, GCF of Fractions for 9425/872, 5768/418 is 1/182248.