GCF of 8725/516, 4567/8626
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8725/516, 4567/8626 i.e 1/2225508 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8725/516, 4567/8626.
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 8725/516,4567/8626?
Given fractions are 8725/516,4567/8626
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 8725/516,4567/8626, numerators are 8725,4567
Denominators are 516,8626
The GCF of 8725,4567 is 1 .
LCM of 516,8626 is 2225508.
The greatest common factor of 8725/516,4567/8626 = [GCF of 8725,4567]/[LCM of 516,8626]= 1/2225508
Therefore, the GCF of 8725/516,4567/8626 is 1/2225508.
To find the highest common factor of 8725,4567, we have to find the factors of both numbers and list the highest common factor.
The factors of 8725 are 1, 5, 25, 349, 1745, 8725
The factors of 4567 are 1, 4567
The HCF of 8725,4567 is 1.
Lets's calculate GCF of 8725,4567
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8725,4567 By Matching Biggest Common Factor Method
Now, list down the factors of 8725
:1,5,25,349,1745,8725
Now, list down the factors of 4567
:1,4567
Greatest Common Factor
We found the factors 8725,4567 . The biggest common factor number is the GCF number.
So the greatest common factor 8725,4567 is 1.
Lets's calculate LCM of 516,8626
| 2 | 516, 8626 |
| 258, 4313 |
∴ So the LCM of the given numbers is 2 x 258 x 4313 = 2225508
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2225508
Therefore, the GCF of Fractions 8725/516,4567/8626 is 1/2225508
Least Common Multiple of 516,8626 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 516,8626 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(516,8626) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(516,8626) x common factors =2 x 1 = 2
LCM(516,8626) = ( 516 × 8626 ) / 2
LCM(516,8626) = 4451016 / 2
LCM(516,8626) = 2225508
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FAQs on GCF of Fractions of 8725/516, 4567/8626
1. What is the HCF of 8725,4567?
The HCF of 8725,4567 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 8725/516, 4567/8626?
Answer: GCF of Numerators as per given numbers 8725/516, 4567/8626 is
GCF of Numerators i.e. for 8725,4567 is 1
LCM of denominators i.e. for 516,8626 is 2225508.
Thus, GCF of Fractions is 1/2225508.Finally, GCF of Fractions for 8725/516, 4567/8626 is 1/2225508.