GCF of 9827/100, 2429/6465
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9827/100, 2429/6465 i.e 1/129300 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9827/100, 2429/6465.
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 9827/100,2429/6465?
Given fractions are 9827/100,2429/6465
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 9827/100,2429/6465, numerators are 9827,2429
Denominators are 100,6465
The GCF of 9827,2429 is 1 .
LCM of 100,6465 is 129300.
The greatest common factor of 9827/100,2429/6465 = [GCF of 9827,2429]/[LCM of 100,6465]= 1/129300
Therefore, the GCF of 9827/100,2429/6465 is 1/129300.
To find the highest common factor of 9827,2429, we have to find the factors of both numbers and list the highest common factor.
The factors of 9827 are 1, 31, 317, 9827
The factors of 2429 are 1, 7, 347, 2429
The HCF of 9827,2429 is 1.
Lets's calculate GCF of 9827,2429
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9827,2429 By Matching Biggest Common Factor Method
Now, list down the factors of 9827
:1,31,317,9827
Now, list down the factors of 2429
:1,7,347,2429
Greatest Common Factor
We found the factors 9827,2429 . The biggest common factor number is the GCF number.
So the greatest common factor 9827,2429 is 1.
Lets's calculate LCM of 100,6465
| 5 | 100, 6465 |
| 20, 1293 |
∴ So the LCM of the given numbers is 5 x 20 x 1293 = 129300
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/129300
Therefore, the GCF of Fractions 9827/100,2429/6465 is 1/129300
Least Common Multiple of 100,6465 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 100,6465 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(100,6465) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(100,6465) x common factors =5 x 1 = 5
LCM(100,6465) = ( 100 × 6465 ) / 5
LCM(100,6465) = 646500 / 5
LCM(100,6465) = 129300
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FAQs on GCF of Fractions of 9827/100, 2429/6465
1. What is the HCF of 9827,2429?
The HCF of 9827,2429 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 9827/100, 2429/6465?
Answer: GCF of Numerators as per given numbers 9827/100, 2429/6465 is
GCF of Numerators i.e. for 9827,2429 is 1
LCM of denominators i.e. for 100,6465 is 129300.
Thus, GCF of Fractions is 1/129300.Finally, GCF of Fractions for 9827/100, 2429/6465 is 1/129300.