GCF of 6786/746, 1898/3048
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6786/746, 1898/3048 i.e 26/1136904 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6786/746, 1898/3048.
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 6786/746,1898/3048?
Given fractions are 6786/746,1898/3048
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 6786/746,1898/3048, numerators are 6786,1898
Denominators are 746,3048
The GCF of 6786,1898 is 26 .
LCM of 746,3048 is 1136904.
The greatest common factor of 6786/746,1898/3048 = [GCF of 6786,1898]/[LCM of 746,3048]= 26/1136904
Therefore, the GCF of 6786/746,1898/3048 is 26/1136904.
To find the highest common factor of 6786,1898, we have to find the factors of both numbers and list the highest common factor.
The factors of 6786 are 1, 2, 3, 6, 9, 13, 18, 26, 29, 39, 58, 78, 87, 117, 174, 234, 261, 377, 522, 754, 1131, 2262, 3393, 6786
The factors of 1898 are 1, 2, 13, 26, 73, 146, 949, 1898
The HCF of 6786,1898 is 26.
Lets's calculate GCF of 6786,1898
| 2 | 6786, 1898 |
| 13 | 3393, 949 |
| 261, 73 |
∴ So the GCF of the given numbers is 2 x 13 = 26
Greatest Common Factor of 6786,1898 By Matching Biggest Common Factor Method
Now, list down the factors of 6786
:1,2,3,6,9,13,18,26,29,39,58,78,87,117,174,234,261,377,522,754,1131,2262,3393,6786
Now, list down the factors of 1898
:1,2,13,26,73,146,949,1898
Greatest Common Factor
We found the factors 6786,1898 . The biggest common factor number is the GCF number.
So the greatest common factor 6786,1898 is 26.
Lets's calculate LCM of 746,3048
| 2 | 746, 3048 |
| 373, 1524 |
∴ So the LCM of the given numbers is 2 x 373 x 1524 = 1136904
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 26/1136904
Therefore, the GCF of Fractions 6786/746,1898/3048 is 26/1136904
Least Common Multiple of 746,3048 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 746,3048 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(746,3048) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(746,3048) x common factors =2 x 1 = 2
LCM(746,3048) = ( 746 × 3048 ) / 2
LCM(746,3048) = 2273808 / 2
LCM(746,3048) = 1136904
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FAQs on GCF of Fractions of 6786/746, 1898/3048
1. What is the HCF of 6786,1898?
The HCF of 6786,1898 is 26
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 6786/746, 1898/3048?
Answer: GCF of Numerators as per given numbers 6786/746, 1898/3048 is
GCF of Numerators i.e. for 6786,1898 is 26
LCM of denominators i.e. for 746,3048 is 1136904.
Thus, GCF of Fractions is 26/1136904.Finally, GCF of Fractions for 6786/746, 1898/3048 is 26/1136904.