GCF of 1850/333, 6961/333
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1850/333, 6961/333 i.e 1/333 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1850/333, 6961/333.
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 1850/333,6961/333?
Given fractions are 1850/333,6961/333
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 1850/333,6961/333, numerators are 1850,6961
Denominators are 333,333
The GCF of 1850,6961 is 1 .
LCM of 333,333 is 333.
The greatest common factor of 1850/333,6961/333 = [GCF of 1850,6961]/[LCM of 333,333]= 1/333
Therefore, the GCF of 1850/333,6961/333 is 1/333.
To find the highest common factor of 1850,6961, we have to find the factors of both numbers and list the highest common factor.
The factors of 1850 are 1, 2, 5, 10, 25, 37, 50, 74, 185, 370, 925, 1850
The factors of 6961 are 1, 6961
The HCF of 1850,6961 is 1.
Lets's calculate GCF of 1850,6961
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1850,6961 By Matching Biggest Common Factor Method
Now, list down the factors of 1850
:1,2,5,10,25,37,50,74,185,370,925,1850
Now, list down the factors of 6961
:1,6961
Greatest Common Factor
We found the factors 1850,6961 . The biggest common factor number is the GCF number.
So the greatest common factor 1850,6961 is 1.
Lets's calculate LCM of 333,333
| 3 | 333, 333 |
| 3 | 111, 111 |
| 37 | 37, 37 |
| 1, 1 |
∴ So the LCM of the given numbers is 3 x 3 x 37 x 1 x 1 = 333
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/333
Therefore, the GCF of Fractions 1850/333,6961/333 is 1/333
Least Common Multiple of 333,333 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 333,333 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(333,333) = 333
common factors(in case of two or more numbers have common factors) = 1
GCF(333,333) x common factors =333 x 1 = 333
LCM(333,333) = ( 333 × 333 ) / 333
LCM(333,333) = 110889 / 333
LCM(333,333) = 333
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FAQs on GCF of Fractions of 1850/333, 6961/333
1. What is the HCF of 1850,6961?
The HCF of 1850,6961 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 1850/333, 6961/333?
Answer: GCF of Numerators as per given numbers 1850/333, 6961/333 is
GCF of Numerators i.e. for 1850,6961 is 1
LCM of denominators i.e. for 333,333 is 333.
Thus, GCF of Fractions is 1/333.Finally, GCF of Fractions for 1850/333, 6961/333 is 1/333.