GCF of 383/77, 378/742
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 383/77, 378/742 i.e 1/8162 easily. The following is the detailed procedure to determine the greatest common factor of fractions 383/77, 378/742.
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 383/77,378/742?
Given fractions are 383/77,378/742
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 383/77,378/742, numerators are 383,378
Denominators are 77,742
The GCF of 383,378 is 1 .
LCM of 77,742 is 8162.
The greatest common factor of 383/77,378/742 = [GCF of 383,378]/[LCM of 77,742]= 1/8162
Therefore, the GCF of 383/77,378/742 is 1/8162.
To find the highest common factor of 383,378, we have to find the factors of both numbers and list the highest common factor.
The factors of 383 are 1, 383
The factors of 378 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
The HCF of 383,378 is 1.
Lets's calculate GCF of 383,378
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 383,378 By Matching Biggest Common Factor Method
Now, list down the factors of 383
:1,383
Now, list down the factors of 378
:1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378
Greatest Common Factor
We found the factors 383,378 . The biggest common factor number is the GCF number.
So the greatest common factor 383,378 is 1.
Lets's calculate LCM of 77,742
| 7 | 77, 742 |
| 11, 106 |
∴ So the LCM of the given numbers is 7 x 11 x 106 = 8162
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8162
Therefore, the GCF of Fractions 383/77,378/742 is 1/8162
Least Common Multiple of 77,742 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 77,742 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,742) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(77,742) x common factors =7 x 1 = 7
LCM(77,742) = ( 77 × 742 ) / 7
LCM(77,742) = 57134 / 7
LCM(77,742) = 8162
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 383/77, 378/742
1. What is the HCF of 383,378?
The HCF of 383,378 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 383/77, 378/742?
Answer: GCF of Numerators as per given numbers 383/77, 378/742 is
GCF of Numerators i.e. for 383,378 is 1
LCM of denominators i.e. for 77,742 is 8162.
Thus, GCF of Fractions is 1/8162.Finally, GCF of Fractions for 383/77, 378/742 is 1/8162.