GCF of 1856/210, 9827/4326
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1856/210, 9827/4326 i.e 1/21630 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1856/210, 9827/4326.
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 1856/210,9827/4326?
Given fractions are 1856/210,9827/4326
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 1856/210,9827/4326, numerators are 1856,9827
Denominators are 210,4326
The GCF of 1856,9827 is 1 .
LCM of 210,4326 is 21630.
The greatest common factor of 1856/210,9827/4326 = [GCF of 1856,9827]/[LCM of 210,4326]= 1/21630
Therefore, the GCF of 1856/210,9827/4326 is 1/21630.
To find the highest common factor of 1856,9827, we have to find the factors of both numbers and list the highest common factor.
The factors of 1856 are 1, 2, 4, 8, 16, 29, 32, 58, 64, 116, 232, 464, 928, 1856
The factors of 9827 are 1, 31, 317, 9827
The HCF of 1856,9827 is 1.
Lets's calculate GCF of 1856,9827
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1856,9827 By Matching Biggest Common Factor Method
Now, list down the factors of 1856
:1,2,4,8,16,29,32,58,64,116,232,464,928,1856
Now, list down the factors of 9827
:1,31,317,9827
Greatest Common Factor
We found the factors 1856,9827 . The biggest common factor number is the GCF number.
So the greatest common factor 1856,9827 is 1.
Lets's calculate LCM of 210,4326
| 2 | 210, 4326 |
| 3 | 105, 2163 |
| 7 | 35, 721 |
| 5, 103 |
∴ So the LCM of the given numbers is 2 x 3 x 7 x 5 x 103 = 21630
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21630
Therefore, the GCF of Fractions 1856/210,9827/4326 is 1/21630
Least Common Multiple of 210,4326 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 210,4326 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(210,4326) = 42
common factors(in case of two or more numbers have common factors) = 1
GCF(210,4326) x common factors =42 x 1 = 42
LCM(210,4326) = ( 210 × 4326 ) / 42
LCM(210,4326) = 908460 / 42
LCM(210,4326) = 21630
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FAQs on GCF of Fractions of 1856/210, 9827/4326
1. What is the HCF of 1856,9827?
The HCF of 1856,9827 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 1856/210, 9827/4326?
Answer: GCF of Numerators as per given numbers 1856/210, 9827/4326 is
GCF of Numerators i.e. for 1856,9827 is 1
LCM of denominators i.e. for 210,4326 is 21630.
Thus, GCF of Fractions is 1/21630.Finally, GCF of Fractions for 1856/210, 9827/4326 is 1/21630.