GCF of 8626/750, 9301/5913
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8626/750, 9301/5913 i.e 1/1478250 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8626/750, 9301/5913.
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 8626/750,9301/5913?
Given fractions are 8626/750,9301/5913
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 8626/750,9301/5913, numerators are 8626,9301
Denominators are 750,5913
The GCF of 8626,9301 is 1 .
LCM of 750,5913 is 1478250.
The greatest common factor of 8626/750,9301/5913 = [GCF of 8626,9301]/[LCM of 750,5913]= 1/1478250
Therefore, the GCF of 8626/750,9301/5913 is 1/1478250.
To find the highest common factor of 8626,9301, we have to find the factors of both numbers and list the highest common factor.
The factors of 8626 are 1, 2, 19, 38, 227, 454, 4313, 8626
The factors of 9301 are 1, 71, 131, 9301
The HCF of 8626,9301 is 1.
Lets's calculate GCF of 8626,9301
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8626,9301 By Matching Biggest Common Factor Method
Now, list down the factors of 8626
:1,2,19,38,227,454,4313,8626
Now, list down the factors of 9301
:1,71,131,9301
Greatest Common Factor
We found the factors 8626,9301 . The biggest common factor number is the GCF number.
So the greatest common factor 8626,9301 is 1.
Lets's calculate LCM of 750,5913
| 3 | 750, 5913 |
| 250, 1971 |
∴ So the LCM of the given numbers is 3 x 250 x 1971 = 1478250
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1478250
Therefore, the GCF of Fractions 8626/750,9301/5913 is 1/1478250
Least Common Multiple of 750,5913 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 750,5913 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(750,5913) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(750,5913) x common factors =3 x 1 = 3
LCM(750,5913) = ( 750 × 5913 ) / 3
LCM(750,5913) = 4434750 / 3
LCM(750,5913) = 1478250
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FAQs on GCF of Fractions of 8626/750, 9301/5913
1. What is the HCF of 8626,9301?
The HCF of 8626,9301 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 8626/750, 9301/5913?
Answer: GCF of Numerators as per given numbers 8626/750, 9301/5913 is
GCF of Numerators i.e. for 8626,9301 is 1
LCM of denominators i.e. for 750,5913 is 1478250.
Thus, GCF of Fractions is 1/1478250.Finally, GCF of Fractions for 8626/750, 9301/5913 is 1/1478250.