GCF of 1386/296, 6052/4807
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1386/296, 6052/4807 i.e 2/1422872 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1386/296, 6052/4807.
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 1386/296,6052/4807?
Given fractions are 1386/296,6052/4807
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 1386/296,6052/4807, numerators are 1386,6052
Denominators are 296,4807
The GCF of 1386,6052 is 2 .
LCM of 296,4807 is 1422872.
The greatest common factor of 1386/296,6052/4807 = [GCF of 1386,6052]/[LCM of 296,4807]= 2/1422872
Therefore, the GCF of 1386/296,6052/4807 is 2/1422872.
To find the highest common factor of 1386,6052, we have to find the factors of both numbers and list the highest common factor.
The factors of 1386 are 1, 2, 3, 6, 7, 9, 11, 14, 18, 21, 22, 33, 42, 63, 66, 77, 99, 126, 154, 198, 231, 462, 693, 1386
The factors of 6052 are 1, 2, 4, 17, 34, 68, 89, 178, 356, 1513, 3026, 6052
The HCF of 1386,6052 is 2.
Lets's calculate GCF of 1386,6052
| 2 | 1386, 6052 |
| 693, 3026 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1386,6052 By Matching Biggest Common Factor Method
Now, list down the factors of 1386
:1,2,3,6,7,9,11,14,18,21,22,33,42,63,66,77,99,126,154,198,231,462,693,1386
Now, list down the factors of 6052
:1,2,4,17,34,68,89,178,356,1513,3026,6052
Greatest Common Factor
We found the factors 1386,6052 . The biggest common factor number is the GCF number.
So the greatest common factor 1386,6052 is 2.
Lets's calculate LCM of 296,4807
Given numbers has no common factors except 1. So, there LCM is their product i.e 1422872
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1422872
Therefore, the GCF of Fractions 1386/296,6052/4807 is 2/1422872
Least Common Multiple of 296,4807 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 296,4807 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(296,4807) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(296,4807) x common factors =1 x 1 = 1
LCM(296,4807) = ( 296 × 4807 ) / 1
LCM(296,4807) = 1422872 / 1
LCM(296,4807) = 1422872
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1386/296, 6052/4807
1. What is the HCF of 1386,6052?
The HCF of 1386,6052 is 2
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 1386/296, 6052/4807?
Answer: GCF of Numerators as per given numbers 1386/296, 6052/4807 is
GCF of Numerators i.e. for 1386,6052 is 2
LCM of denominators i.e. for 296,4807 is 1422872.
Thus, GCF of Fractions is 2/1422872.Finally, GCF of Fractions for 1386/296, 6052/4807 is 2/1422872.