GCF of 8536/253, 2000/121
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8536/253, 2000/121 i.e 8/2783 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8536/253, 2000/121.
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 8536/253,2000/121?
Given fractions are 8536/253,2000/121
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 8536/253,2000/121, numerators are 8536,2000
Denominators are 253,121
The GCF of 8536,2000 is 8 .
LCM of 253,121 is 2783.
The greatest common factor of 8536/253,2000/121 = [GCF of 8536,2000]/[LCM of 253,121]= 8/2783
Therefore, the GCF of 8536/253,2000/121 is 8/2783.
To find the highest common factor of 8536,2000, we have to find the factors of both numbers and list the highest common factor.
The factors of 8536 are 1, 2, 4, 8, 11, 22, 44, 88, 97, 194, 388, 776, 1067, 2134, 4268, 8536
The factors of 2000 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 125, 200, 250, 400, 500, 1000, 2000
The HCF of 8536,2000 is 8.
Lets's calculate GCF of 8536,2000
| 2 | 8536, 2000 |
| 2 | 4268, 1000 |
| 2 | 2134, 500 |
| 1067, 250 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 8536,2000 By Matching Biggest Common Factor Method
Now, list down the factors of 8536
:1,2,4,8,11,22,44,88,97,194,388,776,1067,2134,4268,8536
Now, list down the factors of 2000
:1,2,4,5,8,10,16,20,25,40,50,80,100,125,200,250,400,500,1000,2000
Greatest Common Factor
We found the factors 8536,2000 . The biggest common factor number is the GCF number.
So the greatest common factor 8536,2000 is 8.
Lets's calculate LCM of 253,121
| 11 | 253, 121 |
| 23, 11 |
∴ So the LCM of the given numbers is 11 x 23 x 11 = 2783
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/2783
Therefore, the GCF of Fractions 8536/253,2000/121 is 8/2783
Least Common Multiple of 253,121 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 253,121 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(253,121) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(253,121) x common factors =11 x 1 = 11
LCM(253,121) = ( 253 × 121 ) / 11
LCM(253,121) = 30613 / 11
LCM(253,121) = 2783
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FAQs on GCF of Fractions of 8536/253, 2000/121
1. What is the HCF of 8536,2000?
The HCF of 8536,2000 is 8
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 8536/253, 2000/121?
Answer: GCF of Numerators as per given numbers 8536/253, 2000/121 is
GCF of Numerators i.e. for 8536,2000 is 8
LCM of denominators i.e. for 253,121 is 2783.
Thus, GCF of Fractions is 8/2783.Finally, GCF of Fractions for 8536/253, 2000/121 is 8/2783.