GCF of 3773/937, 6224/3077
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3773/937, 6224/3077 i.e 1/2883149 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3773/937, 6224/3077.
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 3773/937,6224/3077?
Given fractions are 3773/937,6224/3077
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 3773/937,6224/3077, numerators are 3773,6224
Denominators are 937,3077
The GCF of 3773,6224 is 1 .
LCM of 937,3077 is 2883149.
The greatest common factor of 3773/937,6224/3077 = [GCF of 3773,6224]/[LCM of 937,3077]= 1/2883149
Therefore, the GCF of 3773/937,6224/3077 is 1/2883149.
To find the highest common factor of 3773,6224, we have to find the factors of both numbers and list the highest common factor.
The factors of 3773 are 1, 7, 11, 49, 77, 343, 539, 3773
The factors of 6224 are 1, 2, 4, 8, 16, 389, 778, 1556, 3112, 6224
The HCF of 3773,6224 is 1.
Lets's calculate GCF of 3773,6224
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3773,6224 By Matching Biggest Common Factor Method
Now, list down the factors of 3773
:1,7,11,49,77,343,539,3773
Now, list down the factors of 6224
:1,2,4,8,16,389,778,1556,3112,6224
Greatest Common Factor
We found the factors 3773,6224 . The biggest common factor number is the GCF number.
So the greatest common factor 3773,6224 is 1.
Lets's calculate LCM of 937,3077
Given numbers has no common factors except 1. So, there LCM is their product i.e 2883149
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2883149
Therefore, the GCF of Fractions 3773/937,6224/3077 is 1/2883149
Least Common Multiple of 937,3077 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 937,3077 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(937,3077) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(937,3077) x common factors =1 x 1 = 1
LCM(937,3077) = ( 937 × 3077 ) / 1
LCM(937,3077) = 2883149 / 1
LCM(937,3077) = 2883149
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FAQs on GCF of Fractions of 3773/937, 6224/3077
1. What is the HCF of 3773,6224?
The HCF of 3773,6224 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 3773/937, 6224/3077?
Answer: GCF of Numerators as per given numbers 3773/937, 6224/3077 is
GCF of Numerators i.e. for 3773,6224 is 1
LCM of denominators i.e. for 937,3077 is 2883149.
Thus, GCF of Fractions is 1/2883149.Finally, GCF of Fractions for 3773/937, 6224/3077 is 1/2883149.