GCF of 1812/286, 5778/844
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1812/286, 5778/844 i.e 6/120692 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1812/286, 5778/844.
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 1812/286,5778/844?
Given fractions are 1812/286,5778/844
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 1812/286,5778/844, numerators are 1812,5778
Denominators are 286,844
The GCF of 1812,5778 is 6 .
LCM of 286,844 is 120692.
The greatest common factor of 1812/286,5778/844 = [GCF of 1812,5778]/[LCM of 286,844]= 6/120692
Therefore, the GCF of 1812/286,5778/844 is 6/120692.
To find the highest common factor of 1812,5778, we have to find the factors of both numbers and list the highest common factor.
The factors of 1812 are 1, 2, 3, 4, 6, 12, 151, 302, 453, 604, 906, 1812
The factors of 5778 are 1, 2, 3, 6, 9, 18, 27, 54, 107, 214, 321, 642, 963, 1926, 2889, 5778
The HCF of 1812,5778 is 6.
Lets's calculate GCF of 1812,5778
| 2 | 1812, 5778 |
| 3 | 906, 2889 |
| 302, 963 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 1812,5778 By Matching Biggest Common Factor Method
Now, list down the factors of 1812
:1,2,3,4,6,12,151,302,453,604,906,1812
Now, list down the factors of 5778
:1,2,3,6,9,18,27,54,107,214,321,642,963,1926,2889,5778
Greatest Common Factor
We found the factors 1812,5778 . The biggest common factor number is the GCF number.
So the greatest common factor 1812,5778 is 6.
Lets's calculate LCM of 286,844
| 2 | 286, 844 |
| 143, 422 |
∴ So the LCM of the given numbers is 2 x 143 x 422 = 120692
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/120692
Therefore, the GCF of Fractions 1812/286,5778/844 is 6/120692
Least Common Multiple of 286,844 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 286,844 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(286,844) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(286,844) x common factors =2 x 1 = 2
LCM(286,844) = ( 286 × 844 ) / 2
LCM(286,844) = 241384 / 2
LCM(286,844) = 120692
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FAQs on GCF of Fractions of 1812/286, 5778/844
1. What is the HCF of 1812,5778?
The HCF of 1812,5778 is 6
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 1812/286, 5778/844?
Answer: GCF of Numerators as per given numbers 1812/286, 5778/844 is
GCF of Numerators i.e. for 1812,5778 is 6
LCM of denominators i.e. for 286,844 is 120692.
Thus, GCF of Fractions is 6/120692.Finally, GCF of Fractions for 1812/286, 5778/844 is 6/120692.