GCF of 6378/738, 1360/3338
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6378/738, 1360/3338 i.e 2/1231722 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6378/738, 1360/3338.
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 6378/738,1360/3338?
Given fractions are 6378/738,1360/3338
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 6378/738,1360/3338, numerators are 6378,1360
Denominators are 738,3338
The GCF of 6378,1360 is 2 .
LCM of 738,3338 is 1231722.
The greatest common factor of 6378/738,1360/3338 = [GCF of 6378,1360]/[LCM of 738,3338]= 2/1231722
Therefore, the GCF of 6378/738,1360/3338 is 2/1231722.
To find the highest common factor of 6378,1360, we have to find the factors of both numbers and list the highest common factor.
The factors of 6378 are 1, 2, 3, 6, 1063, 2126, 3189, 6378
The factors of 1360 are 1, 2, 4, 5, 8, 10, 16, 17, 20, 34, 40, 68, 80, 85, 136, 170, 272, 340, 680, 1360
The HCF of 6378,1360 is 2.
Lets's calculate GCF of 6378,1360
| 2 | 6378, 1360 |
| 3189, 680 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6378,1360 By Matching Biggest Common Factor Method
Now, list down the factors of 6378
:1,2,3,6,1063,2126,3189,6378
Now, list down the factors of 1360
:1,2,4,5,8,10,16,17,20,34,40,68,80,85,136,170,272,340,680,1360
Greatest Common Factor
We found the factors 6378,1360 . The biggest common factor number is the GCF number.
So the greatest common factor 6378,1360 is 2.
Lets's calculate LCM of 738,3338
| 2 | 738, 3338 |
| 369, 1669 |
∴ So the LCM of the given numbers is 2 x 369 x 1669 = 1231722
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1231722
Therefore, the GCF of Fractions 6378/738,1360/3338 is 2/1231722
Least Common Multiple of 738,3338 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 738,3338 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(738,3338) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(738,3338) x common factors =2 x 1 = 2
LCM(738,3338) = ( 738 × 3338 ) / 2
LCM(738,3338) = 2463444 / 2
LCM(738,3338) = 1231722
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FAQs on GCF of Fractions of 6378/738, 1360/3338
1. What is the HCF of 6378,1360?
The HCF of 6378,1360 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 6378/738, 1360/3338?
Answer: GCF of Numerators as per given numbers 6378/738, 1360/3338 is
GCF of Numerators i.e. for 6378,1360 is 2
LCM of denominators i.e. for 738,3338 is 1231722.
Thus, GCF of Fractions is 2/1231722.Finally, GCF of Fractions for 6378/738, 1360/3338 is 2/1231722.