GCF of 1782/748, 6488/1376
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1782/748, 6488/1376 i.e 2/257312 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1782/748, 6488/1376.
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 1782/748,6488/1376?
Given fractions are 1782/748,6488/1376
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 1782/748,6488/1376, numerators are 1782,6488
Denominators are 748,1376
The GCF of 1782,6488 is 2 .
LCM of 748,1376 is 257312.
The greatest common factor of 1782/748,6488/1376 = [GCF of 1782,6488]/[LCM of 748,1376]= 2/257312
Therefore, the GCF of 1782/748,6488/1376 is 2/257312.
To find the highest common factor of 1782,6488, we have to find the factors of both numbers and list the highest common factor.
The factors of 1782 are 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 81, 99, 162, 198, 297, 594, 891, 1782
The factors of 6488 are 1, 2, 4, 8, 811, 1622, 3244, 6488
The HCF of 1782,6488 is 2.
Lets's calculate GCF of 1782,6488
| 2 | 1782, 6488 |
| 891, 3244 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1782,6488 By Matching Biggest Common Factor Method
Now, list down the factors of 1782
:1,2,3,6,9,11,18,22,27,33,54,66,81,99,162,198,297,594,891,1782
Now, list down the factors of 6488
:1,2,4,8,811,1622,3244,6488
Greatest Common Factor
We found the factors 1782,6488 . The biggest common factor number is the GCF number.
So the greatest common factor 1782,6488 is 2.
Lets's calculate LCM of 748,1376
| 2 | 748, 1376 |
| 2 | 374, 688 |
| 187, 344 |
∴ So the LCM of the given numbers is 2 x 2 x 187 x 344 = 257312
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/257312
Therefore, the GCF of Fractions 1782/748,6488/1376 is 2/257312
Least Common Multiple of 748,1376 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 748,1376 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(748,1376) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(748,1376) x common factors =4 x 1 = 4
LCM(748,1376) = ( 748 × 1376 ) / 4
LCM(748,1376) = 1029248 / 4
LCM(748,1376) = 257312
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1782/748, 6488/1376
1. What is the HCF of 1782,6488?
The HCF of 1782,6488 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 1782/748, 6488/1376?
Answer: GCF of Numerators as per given numbers 1782/748, 6488/1376 is
GCF of Numerators i.e. for 1782,6488 is 2
LCM of denominators i.e. for 748,1376 is 257312.
Thus, GCF of Fractions is 2/257312.Finally, GCF of Fractions for 1782/748, 6488/1376 is 2/257312.