GCF of 7844/314, 5661/1833
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7844/314, 5661/1833 i.e 37/575562 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7844/314, 5661/1833.
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 7844/314,5661/1833?
Given fractions are 7844/314,5661/1833
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 7844/314,5661/1833, numerators are 7844,5661
Denominators are 314,1833
The GCF of 7844,5661 is 37 .
LCM of 314,1833 is 575562.
The greatest common factor of 7844/314,5661/1833 = [GCF of 7844,5661]/[LCM of 314,1833]= 37/575562
Therefore, the GCF of 7844/314,5661/1833 is 37/575562.
To find the highest common factor of 7844,5661, we have to find the factors of both numbers and list the highest common factor.
The factors of 7844 are 1, 2, 4, 37, 53, 74, 106, 148, 212, 1961, 3922, 7844
The factors of 5661 are 1, 3, 9, 17, 37, 51, 111, 153, 333, 629, 1887, 5661
The HCF of 7844,5661 is 37.
Lets's calculate GCF of 7844,5661
| 37 | 7844, 5661 |
| 212, 153 |
∴ So the GCF of the given numbers is 37 = 37
Greatest Common Factor of 7844,5661 By Matching Biggest Common Factor Method
Now, list down the factors of 7844
:1,2,4,37,53,74,106,148,212,1961,3922,7844
Now, list down the factors of 5661
:1,3,9,17,37,51,111,153,333,629,1887,5661
Greatest Common Factor
We found the factors 7844,5661 . The biggest common factor number is the GCF number.
So the greatest common factor 7844,5661 is 37.
Lets's calculate LCM of 314,1833
Given numbers has no common factors except 1. So, there LCM is their product i.e 575562
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 37/575562
Therefore, the GCF of Fractions 7844/314,5661/1833 is 37/575562
Least Common Multiple of 314,1833 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 314,1833 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(314,1833) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(314,1833) x common factors =1 x 1 = 1
LCM(314,1833) = ( 314 × 1833 ) / 1
LCM(314,1833) = 575562 / 1
LCM(314,1833) = 575562
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FAQs on GCF of Fractions of 7844/314, 5661/1833
1. What is the HCF of 7844,5661?
The HCF of 7844,5661 is 37
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 7844/314, 5661/1833?
Answer: GCF of Numerators as per given numbers 7844/314, 5661/1833 is
GCF of Numerators i.e. for 7844,5661 is 37
LCM of denominators i.e. for 314,1833 is 575562.
Thus, GCF of Fractions is 37/575562.Finally, GCF of Fractions for 7844/314, 5661/1833 is 37/575562.