GCF of 9853/102, 3526/250
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9853/102, 3526/250 i.e 1/12750 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9853/102, 3526/250.
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 9853/102,3526/250?
Given fractions are 9853/102,3526/250
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 9853/102,3526/250, numerators are 9853,3526
Denominators are 102,250
The GCF of 9853,3526 is 1 .
LCM of 102,250 is 12750.
The greatest common factor of 9853/102,3526/250 = [GCF of 9853,3526]/[LCM of 102,250]= 1/12750
Therefore, the GCF of 9853/102,3526/250 is 1/12750.
To find the highest common factor of 9853,3526, we have to find the factors of both numbers and list the highest common factor.
The factors of 9853 are 1, 59, 167, 9853
The factors of 3526 are 1, 2, 41, 43, 82, 86, 1763, 3526
The HCF of 9853,3526 is 1.
Lets's calculate GCF of 9853,3526
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9853,3526 By Matching Biggest Common Factor Method
Now, list down the factors of 9853
:1,59,167,9853
Now, list down the factors of 3526
:1,2,41,43,82,86,1763,3526
Greatest Common Factor
We found the factors 9853,3526 . The biggest common factor number is the GCF number.
So the greatest common factor 9853,3526 is 1.
Lets's calculate LCM of 102,250
| 2 | 102, 250 |
| 51, 125 |
∴ So the LCM of the given numbers is 2 x 51 x 125 = 12750
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12750
Therefore, the GCF of Fractions 9853/102,3526/250 is 1/12750
Least Common Multiple of 102,250 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 102,250 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(102,250) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(102,250) x common factors =2 x 1 = 2
LCM(102,250) = ( 102 × 250 ) / 2
LCM(102,250) = 25500 / 2
LCM(102,250) = 12750
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FAQs on GCF of Fractions of 9853/102, 3526/250
1. What is the HCF of 9853,3526?
The HCF of 9853,3526 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 9853/102, 3526/250?
Answer: GCF of Numerators as per given numbers 9853/102, 3526/250 is
GCF of Numerators i.e. for 9853,3526 is 1
LCM of denominators i.e. for 102,250 is 12750.
Thus, GCF of Fractions is 1/12750.Finally, GCF of Fractions for 9853/102, 3526/250 is 1/12750.