GCF of 5225/716, 8654/558
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5225/716, 8654/558 i.e 1/199764 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5225/716, 8654/558.
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 5225/716,8654/558?
Given fractions are 5225/716,8654/558
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 5225/716,8654/558, numerators are 5225,8654
Denominators are 716,558
The GCF of 5225,8654 is 1 .
LCM of 716,558 is 199764.
The greatest common factor of 5225/716,8654/558 = [GCF of 5225,8654]/[LCM of 716,558]= 1/199764
Therefore, the GCF of 5225/716,8654/558 is 1/199764.
To find the highest common factor of 5225,8654, we have to find the factors of both numbers and list the highest common factor.
The factors of 5225 are 1, 5, 11, 19, 25, 55, 95, 209, 275, 475, 1045, 5225
The factors of 8654 are 1, 2, 4327, 8654
The HCF of 5225,8654 is 1.
Lets's calculate GCF of 5225,8654
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5225,8654 By Matching Biggest Common Factor Method
Now, list down the factors of 5225
:1,5,11,19,25,55,95,209,275,475,1045,5225
Now, list down the factors of 8654
:1,2,4327,8654
Greatest Common Factor
We found the factors 5225,8654 . The biggest common factor number is the GCF number.
So the greatest common factor 5225,8654 is 1.
Lets's calculate LCM of 716,558
| 2 | 716, 558 |
| 358, 279 |
∴ So the LCM of the given numbers is 2 x 358 x 279 = 199764
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/199764
Therefore, the GCF of Fractions 5225/716,8654/558 is 1/199764
Least Common Multiple of 716,558 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 716,558 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(716,558) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(716,558) x common factors =2 x 1 = 2
LCM(716,558) = ( 716 × 558 ) / 2
LCM(716,558) = 399528 / 2
LCM(716,558) = 199764
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FAQs on GCF of Fractions of 5225/716, 8654/558
1. What is the HCF of 5225,8654?
The HCF of 5225,8654 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 5225/716, 8654/558?
Answer: GCF of Numerators as per given numbers 5225/716, 8654/558 is
GCF of Numerators i.e. for 5225,8654 is 1
LCM of denominators i.e. for 716,558 is 199764.
Thus, GCF of Fractions is 1/199764.Finally, GCF of Fractions for 5225/716, 8654/558 is 1/199764.