GCF of 5425/783, 9298/638
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5425/783, 9298/638 i.e 1/17226 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5425/783, 9298/638.
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 5425/783,9298/638?
Given fractions are 5425/783,9298/638
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 5425/783,9298/638, numerators are 5425,9298
Denominators are 783,638
The GCF of 5425,9298 is 1 .
LCM of 783,638 is 17226.
The greatest common factor of 5425/783,9298/638 = [GCF of 5425,9298]/[LCM of 783,638]= 1/17226
Therefore, the GCF of 5425/783,9298/638 is 1/17226.
To find the highest common factor of 5425,9298, we have to find the factors of both numbers and list the highest common factor.
The factors of 5425 are 1, 5, 7, 25, 31, 35, 155, 175, 217, 775, 1085, 5425
The factors of 9298 are 1, 2, 4649, 9298
The HCF of 5425,9298 is 1.
Lets's calculate GCF of 5425,9298
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5425,9298 By Matching Biggest Common Factor Method
Now, list down the factors of 5425
:1,5,7,25,31,35,155,175,217,775,1085,5425
Now, list down the factors of 9298
:1,2,4649,9298
Greatest Common Factor
We found the factors 5425,9298 . The biggest common factor number is the GCF number.
So the greatest common factor 5425,9298 is 1.
Lets's calculate LCM of 783,638
| 29 | 783, 638 |
| 27, 22 |
∴ So the LCM of the given numbers is 29 x 27 x 22 = 17226
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17226
Therefore, the GCF of Fractions 5425/783,9298/638 is 1/17226
Least Common Multiple of 783,638 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 783,638 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(783,638) = 29
common factors(in case of two or more numbers have common factors) = 1
GCF(783,638) x common factors =29 x 1 = 29
LCM(783,638) = ( 783 × 638 ) / 29
LCM(783,638) = 499554 / 29
LCM(783,638) = 17226
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5425/783, 9298/638
1. What is the HCF of 5425,9298?
The HCF of 5425,9298 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 5425/783, 9298/638?
Answer: GCF of Numerators as per given numbers 5425/783, 9298/638 is
GCF of Numerators i.e. for 5425,9298 is 1
LCM of denominators i.e. for 783,638 is 17226.
Thus, GCF of Fractions is 1/17226.Finally, GCF of Fractions for 5425/783, 9298/638 is 1/17226.