GCF of 3769/693, 1857/3372
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3769/693, 1857/3372 i.e 1/778932 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3769/693, 1857/3372.
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 3769/693,1857/3372?
Given fractions are 3769/693,1857/3372
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 3769/693,1857/3372, numerators are 3769,1857
Denominators are 693,3372
The GCF of 3769,1857 is 1 .
LCM of 693,3372 is 778932.
The greatest common factor of 3769/693,1857/3372 = [GCF of 3769,1857]/[LCM of 693,3372]= 1/778932
Therefore, the GCF of 3769/693,1857/3372 is 1/778932.
To find the highest common factor of 3769,1857, we have to find the factors of both numbers and list the highest common factor.
The factors of 3769 are 1, 3769
The factors of 1857 are 1, 3, 619, 1857
The HCF of 3769,1857 is 1.
Lets's calculate GCF of 3769,1857
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3769,1857 By Matching Biggest Common Factor Method
Now, list down the factors of 3769
:1,3769
Now, list down the factors of 1857
:1,3,619,1857
Greatest Common Factor
We found the factors 3769,1857 . The biggest common factor number is the GCF number.
So the greatest common factor 3769,1857 is 1.
Lets's calculate LCM of 693,3372
| 3 | 693, 3372 |
| 231, 1124 |
∴ So the LCM of the given numbers is 3 x 231 x 1124 = 778932
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/778932
Therefore, the GCF of Fractions 3769/693,1857/3372 is 1/778932
Least Common Multiple of 693,3372 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 693,3372 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(693,3372) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(693,3372) x common factors =3 x 1 = 3
LCM(693,3372) = ( 693 × 3372 ) / 3
LCM(693,3372) = 2336796 / 3
LCM(693,3372) = 778932
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FAQs on GCF of Fractions of 3769/693, 1857/3372
1. What is the HCF of 3769,1857?
The HCF of 3769,1857 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 3769/693, 1857/3372?
Answer: GCF of Numerators as per given numbers 3769/693, 1857/3372 is
GCF of Numerators i.e. for 3769,1857 is 1
LCM of denominators i.e. for 693,3372 is 778932.
Thus, GCF of Fractions is 1/778932.Finally, GCF of Fractions for 3769/693, 1857/3372 is 1/778932.