GCF of 2156/211, 9823/8182
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2156/211, 9823/8182 i.e 11/1726402 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2156/211, 9823/8182.
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 2156/211,9823/8182?
Given fractions are 2156/211,9823/8182
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 2156/211,9823/8182, numerators are 2156,9823
Denominators are 211,8182
The GCF of 2156,9823 is 11 .
LCM of 211,8182 is 1726402.
The greatest common factor of 2156/211,9823/8182 = [GCF of 2156,9823]/[LCM of 211,8182]= 11/1726402
Therefore, the GCF of 2156/211,9823/8182 is 11/1726402.
To find the highest common factor of 2156,9823, we have to find the factors of both numbers and list the highest common factor.
The factors of 2156 are 1, 2, 4, 7, 11, 14, 22, 28, 44, 49, 77, 98, 154, 196, 308, 539, 1078, 2156
The factors of 9823 are 1, 11, 19, 47, 209, 517, 893, 9823
The HCF of 2156,9823 is 11.
Lets's calculate GCF of 2156,9823
| 11 | 2156, 9823 |
| 196, 893 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 2156,9823 By Matching Biggest Common Factor Method
Now, list down the factors of 2156
:1,2,4,7,11,14,22,28,44,49,77,98,154,196,308,539,1078,2156
Now, list down the factors of 9823
:1,11,19,47,209,517,893,9823
Greatest Common Factor
We found the factors 2156,9823 . The biggest common factor number is the GCF number.
So the greatest common factor 2156,9823 is 11.
Lets's calculate LCM of 211,8182
Given numbers has no common factors except 1. So, there LCM is their product i.e 1726402
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/1726402
Therefore, the GCF of Fractions 2156/211,9823/8182 is 11/1726402
Least Common Multiple of 211,8182 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 211,8182 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(211,8182) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(211,8182) x common factors =1 x 1 = 1
LCM(211,8182) = ( 211 × 8182 ) / 1
LCM(211,8182) = 1726402 / 1
LCM(211,8182) = 1726402
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FAQs on GCF of Fractions of 2156/211, 9823/8182
1. What is the HCF of 2156,9823?
The HCF of 2156,9823 is 11
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 2156/211, 9823/8182?
Answer: GCF of Numerators as per given numbers 2156/211, 9823/8182 is
GCF of Numerators i.e. for 2156,9823 is 11
LCM of denominators i.e. for 211,8182 is 1726402.
Thus, GCF of Fractions is 11/1726402.Finally, GCF of Fractions for 2156/211, 9823/8182 is 11/1726402.