GCF of 1811/926, 5754/7362
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1811/926, 5754/7362 i.e 1/3408606 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1811/926, 5754/7362.
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 1811/926,5754/7362?
Given fractions are 1811/926,5754/7362
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 1811/926,5754/7362, numerators are 1811,5754
Denominators are 926,7362
The GCF of 1811,5754 is 1 .
LCM of 926,7362 is 3408606.
The greatest common factor of 1811/926,5754/7362 = [GCF of 1811,5754]/[LCM of 926,7362]= 1/3408606
Therefore, the GCF of 1811/926,5754/7362 is 1/3408606.
To find the highest common factor of 1811,5754, we have to find the factors of both numbers and list the highest common factor.
The factors of 1811 are 1, 1811
The factors of 5754 are 1, 2, 3, 6, 7, 14, 21, 42, 137, 274, 411, 822, 959, 1918, 2877, 5754
The HCF of 1811,5754 is 1.
Lets's calculate GCF of 1811,5754
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1811,5754 By Matching Biggest Common Factor Method
Now, list down the factors of 1811
:1,1811
Now, list down the factors of 5754
:1,2,3,6,7,14,21,42,137,274,411,822,959,1918,2877,5754
Greatest Common Factor
We found the factors 1811,5754 . The biggest common factor number is the GCF number.
So the greatest common factor 1811,5754 is 1.
Lets's calculate LCM of 926,7362
| 2 | 926, 7362 |
| 463, 3681 |
∴ So the LCM of the given numbers is 2 x 463 x 3681 = 3408606
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3408606
Therefore, the GCF of Fractions 1811/926,5754/7362 is 1/3408606
Least Common Multiple of 926,7362 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 926,7362 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(926,7362) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(926,7362) x common factors =2 x 1 = 2
LCM(926,7362) = ( 926 × 7362 ) / 2
LCM(926,7362) = 6817212 / 2
LCM(926,7362) = 3408606
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FAQs on GCF of Fractions of 1811/926, 5754/7362
1. What is the HCF of 1811,5754?
The HCF of 1811,5754 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 1811/926, 5754/7362?
Answer: GCF of Numerators as per given numbers 1811/926, 5754/7362 is
GCF of Numerators i.e. for 1811,5754 is 1
LCM of denominators i.e. for 926,7362 is 3408606.
Thus, GCF of Fractions is 1/3408606.Finally, GCF of Fractions for 1811/926, 5754/7362 is 1/3408606.