GCF of 7378/111, 4997/3348
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7378/111, 4997/3348 i.e 1/123876 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7378/111, 4997/3348.
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 7378/111,4997/3348?
Given fractions are 7378/111,4997/3348
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 7378/111,4997/3348, numerators are 7378,4997
Denominators are 111,3348
The GCF of 7378,4997 is 1 .
LCM of 111,3348 is 123876.
The greatest common factor of 7378/111,4997/3348 = [GCF of 7378,4997]/[LCM of 111,3348]= 1/123876
Therefore, the GCF of 7378/111,4997/3348 is 1/123876.
To find the highest common factor of 7378,4997, we have to find the factors of both numbers and list the highest common factor.
The factors of 7378 are 1, 2, 7, 14, 17, 31, 34, 62, 119, 217, 238, 434, 527, 1054, 3689, 7378
The factors of 4997 are 1, 19, 263, 4997
The HCF of 7378,4997 is 1.
Lets's calculate GCF of 7378,4997
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7378,4997 By Matching Biggest Common Factor Method
Now, list down the factors of 7378
:1,2,7,14,17,31,34,62,119,217,238,434,527,1054,3689,7378
Now, list down the factors of 4997
:1,19,263,4997
Greatest Common Factor
We found the factors 7378,4997 . The biggest common factor number is the GCF number.
So the greatest common factor 7378,4997 is 1.
Lets's calculate LCM of 111,3348
| 3 | 111, 3348 |
| 37, 1116 |
∴ So the LCM of the given numbers is 3 x 37 x 1116 = 123876
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/123876
Therefore, the GCF of Fractions 7378/111,4997/3348 is 1/123876
Least Common Multiple of 111,3348 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 111,3348 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(111,3348) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(111,3348) x common factors =3 x 1 = 3
LCM(111,3348) = ( 111 × 3348 ) / 3
LCM(111,3348) = 371628 / 3
LCM(111,3348) = 123876
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FAQs on GCF of Fractions of 7378/111, 4997/3348
1. What is the HCF of 7378,4997?
The HCF of 7378,4997 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 7378/111, 4997/3348?
Answer: GCF of Numerators as per given numbers 7378/111, 4997/3348 is
GCF of Numerators i.e. for 7378,4997 is 1
LCM of denominators i.e. for 111,3348 is 123876.
Thus, GCF of Fractions is 1/123876.Finally, GCF of Fractions for 7378/111, 4997/3348 is 1/123876.