GCF of 6348/746, 6788/826
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6348/746, 6788/826 i.e 4/308098 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6348/746, 6788/826.
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 6348/746,6788/826?
Given fractions are 6348/746,6788/826
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 6348/746,6788/826, numerators are 6348,6788
Denominators are 746,826
The GCF of 6348,6788 is 4 .
LCM of 746,826 is 308098.
The greatest common factor of 6348/746,6788/826 = [GCF of 6348,6788]/[LCM of 746,826]= 4/308098
Therefore, the GCF of 6348/746,6788/826 is 4/308098.
To find the highest common factor of 6348,6788, we have to find the factors of both numbers and list the highest common factor.
The factors of 6348 are 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276, 529, 1058, 1587, 2116, 3174, 6348
The factors of 6788 are 1, 2, 4, 1697, 3394, 6788
The HCF of 6348,6788 is 4.
Lets's calculate GCF of 6348,6788
| 2 | 6348, 6788 |
| 2 | 3174, 3394 |
| 1587, 1697 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 6348,6788 By Matching Biggest Common Factor Method
Now, list down the factors of 6348
:1,2,3,4,6,12,23,46,69,92,138,276,529,1058,1587,2116,3174,6348
Now, list down the factors of 6788
:1,2,4,1697,3394,6788
Greatest Common Factor
We found the factors 6348,6788 . The biggest common factor number is the GCF number.
So the greatest common factor 6348,6788 is 4.
Lets's calculate LCM of 746,826
| 2 | 746, 826 |
| 373, 413 |
∴ So the LCM of the given numbers is 2 x 373 x 413 = 308098
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/308098
Therefore, the GCF of Fractions 6348/746,6788/826 is 4/308098
Least Common Multiple of 746,826 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 746,826 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(746,826) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(746,826) x common factors =2 x 1 = 2
LCM(746,826) = ( 746 × 826 ) / 2
LCM(746,826) = 616196 / 2
LCM(746,826) = 308098
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FAQs on GCF of Fractions of 6348/746, 6788/826
1. What is the HCF of 6348,6788?
The HCF of 6348,6788 is 4
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 6348/746, 6788/826?
Answer: GCF of Numerators as per given numbers 6348/746, 6788/826 is
GCF of Numerators i.e. for 6348,6788 is 4
LCM of denominators i.e. for 746,826 is 308098.
Thus, GCF of Fractions is 4/308098.Finally, GCF of Fractions for 6348/746, 6788/826 is 4/308098.