GCF of 9365/700, 1431/2499
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9365/700, 1431/2499 i.e 1/249900 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9365/700, 1431/2499.
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 9365/700,1431/2499?
Given fractions are 9365/700,1431/2499
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 9365/700,1431/2499, numerators are 9365,1431
Denominators are 700,2499
The GCF of 9365,1431 is 1 .
LCM of 700,2499 is 249900.
The greatest common factor of 9365/700,1431/2499 = [GCF of 9365,1431]/[LCM of 700,2499]= 1/249900
Therefore, the GCF of 9365/700,1431/2499 is 1/249900.
To find the highest common factor of 9365,1431, we have to find the factors of both numbers and list the highest common factor.
The factors of 9365 are 1, 5, 1873, 9365
The factors of 1431 are 1, 3, 9, 27, 53, 159, 477, 1431
The HCF of 9365,1431 is 1.
Lets's calculate GCF of 9365,1431
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9365,1431 By Matching Biggest Common Factor Method
Now, list down the factors of 9365
:1,5,1873,9365
Now, list down the factors of 1431
:1,3,9,27,53,159,477,1431
Greatest Common Factor
We found the factors 9365,1431 . The biggest common factor number is the GCF number.
So the greatest common factor 9365,1431 is 1.
Lets's calculate LCM of 700,2499
| 7 | 700, 2499 |
| 100, 357 |
∴ So the LCM of the given numbers is 7 x 100 x 357 = 249900
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/249900
Therefore, the GCF of Fractions 9365/700,1431/2499 is 1/249900
Least Common Multiple of 700,2499 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 700,2499 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(700,2499) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(700,2499) x common factors =7 x 1 = 7
LCM(700,2499) = ( 700 × 2499 ) / 7
LCM(700,2499) = 1749300 / 7
LCM(700,2499) = 249900
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FAQs on GCF of Fractions of 9365/700, 1431/2499
1. What is the HCF of 9365,1431?
The HCF of 9365,1431 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 9365/700, 1431/2499?
Answer: GCF of Numerators as per given numbers 9365/700, 1431/2499 is
GCF of Numerators i.e. for 9365,1431 is 1
LCM of denominators i.e. for 700,2499 is 249900.
Thus, GCF of Fractions is 1/249900.Finally, GCF of Fractions for 9365/700, 1431/2499 is 1/249900.