GCF of 111/389, 6734/237
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 111/389, 6734/237 i.e 37/92193 easily. The following is the detailed procedure to determine the greatest common factor of fractions 111/389, 6734/237.
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 111/389,6734/237?
Given fractions are 111/389,6734/237
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 111/389,6734/237, numerators are 111,6734
Denominators are 389,237
The GCF of 111,6734 is 37 .
LCM of 389,237 is 92193.
The greatest common factor of 111/389,6734/237 = [GCF of 111,6734]/[LCM of 389,237]= 37/92193
Therefore, the GCF of 111/389,6734/237 is 37/92193.
To find the highest common factor of 111,6734, we have to find the factors of both numbers and list the highest common factor.
The factors of 111 are 1, 3, 37, 111
The factors of 6734 are 1, 2, 7, 13, 14, 26, 37, 74, 91, 182, 259, 481, 518, 962, 3367, 6734
The HCF of 111,6734 is 37.
Lets's calculate GCF of 111,6734
| 37 | 111, 6734 |
| 3, 182 |
∴ So the GCF of the given numbers is 37 = 37
Greatest Common Factor of 111,6734 By Matching Biggest Common Factor Method
Now, list down the factors of 111
:1,3,37,111
Now, list down the factors of 6734
:1,2,7,13,14,26,37,74,91,182,259,481,518,962,3367,6734
Greatest Common Factor
We found the factors 111,6734 . The biggest common factor number is the GCF number.
So the greatest common factor 111,6734 is 37.
Lets's calculate LCM of 389,237
Given numbers has no common factors except 1. So, there LCM is their product i.e 92193
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 37/92193
Therefore, the GCF of Fractions 111/389,6734/237 is 37/92193
Least Common Multiple of 389,237 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 389,237 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(389,237) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(389,237) x common factors =1 x 1 = 1
LCM(389,237) = ( 389 × 237 ) / 1
LCM(389,237) = 92193 / 1
LCM(389,237) = 92193
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FAQs on GCF of Fractions of 111/389, 6734/237
1. What is the HCF of 111,6734?
The HCF of 111,6734 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 111/389, 6734/237?
Answer: GCF of Numerators as per given numbers 111/389, 6734/237 is
GCF of Numerators i.e. for 111,6734 is 37
LCM of denominators i.e. for 389,237 is 92193.
Thus, GCF of Fractions is 37/92193.Finally, GCF of Fractions for 111/389, 6734/237 is 37/92193.