GCF of 1378/748, 2808/8644
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1378/748, 2808/8644 i.e 26/1616428 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1378/748, 2808/8644.
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 1378/748,2808/8644?
Given fractions are 1378/748,2808/8644
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 1378/748,2808/8644, numerators are 1378,2808
Denominators are 748,8644
The GCF of 1378,2808 is 26 .
LCM of 748,8644 is 1616428.
The greatest common factor of 1378/748,2808/8644 = [GCF of 1378,2808]/[LCM of 748,8644]= 26/1616428
Therefore, the GCF of 1378/748,2808/8644 is 26/1616428.
To find the highest common factor of 1378,2808, we have to find the factors of both numbers and list the highest common factor.
The factors of 1378 are 1, 2, 13, 26, 53, 106, 689, 1378
The factors of 2808 are 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 27, 36, 39, 52, 54, 72, 78, 104, 108, 117, 156, 216, 234, 312, 351, 468, 702, 936, 1404, 2808
The HCF of 1378,2808 is 26.
Lets's calculate GCF of 1378,2808
| 2 | 1378, 2808 |
| 13 | 689, 1404 |
| 53, 108 |
∴ So the GCF of the given numbers is 2 x 13 = 26
Greatest Common Factor of 1378,2808 By Matching Biggest Common Factor Method
Now, list down the factors of 1378
:1,2,13,26,53,106,689,1378
Now, list down the factors of 2808
:1,2,3,4,6,8,9,12,13,18,24,26,27,36,39,52,54,72,78,104,108,117,156,216,234,312,351,468,702,936,1404,2808
Greatest Common Factor
We found the factors 1378,2808 . The biggest common factor number is the GCF number.
So the greatest common factor 1378,2808 is 26.
Lets's calculate LCM of 748,8644
| 2 | 748, 8644 |
| 2 | 374, 4322 |
| 187, 2161 |
∴ So the LCM of the given numbers is 2 x 2 x 187 x 2161 = 1616428
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 26/1616428
Therefore, the GCF of Fractions 1378/748,2808/8644 is 26/1616428
Least Common Multiple of 748,8644 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 748,8644 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(748,8644) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(748,8644) x common factors =4 x 1 = 4
LCM(748,8644) = ( 748 × 8644 ) / 4
LCM(748,8644) = 6465712 / 4
LCM(748,8644) = 1616428
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FAQs on GCF of Fractions of 1378/748, 2808/8644
1. What is the HCF of 1378,2808?
The HCF of 1378,2808 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 1378/748, 2808/8644?
Answer: GCF of Numerators as per given numbers 1378/748, 2808/8644 is
GCF of Numerators i.e. for 1378,2808 is 26
LCM of denominators i.e. for 748,8644 is 1616428.
Thus, GCF of Fractions is 26/1616428.Finally, GCF of Fractions for 1378/748, 2808/8644 is 26/1616428.