GCF of 1376/319, 2826/2267
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1376/319, 2826/2267 i.e 2/723173 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1376/319, 2826/2267.
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 1376/319,2826/2267?
Given fractions are 1376/319,2826/2267
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 1376/319,2826/2267, numerators are 1376,2826
Denominators are 319,2267
The GCF of 1376,2826 is 2 .
LCM of 319,2267 is 723173.
The greatest common factor of 1376/319,2826/2267 = [GCF of 1376,2826]/[LCM of 319,2267]= 2/723173
Therefore, the GCF of 1376/319,2826/2267 is 2/723173.
To find the highest common factor of 1376,2826, we have to find the factors of both numbers and list the highest common factor.
The factors of 1376 are 1, 2, 4, 8, 16, 32, 43, 86, 172, 344, 688, 1376
The factors of 2826 are 1, 2, 3, 6, 9, 18, 157, 314, 471, 942, 1413, 2826
The HCF of 1376,2826 is 2.
Lets's calculate GCF of 1376,2826
| 2 | 1376, 2826 |
| 688, 1413 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1376,2826 By Matching Biggest Common Factor Method
Now, list down the factors of 1376
:1,2,4,8,16,32,43,86,172,344,688,1376
Now, list down the factors of 2826
:1,2,3,6,9,18,157,314,471,942,1413,2826
Greatest Common Factor
We found the factors 1376,2826 . The biggest common factor number is the GCF number.
So the greatest common factor 1376,2826 is 2.
Lets's calculate LCM of 319,2267
Given numbers has no common factors except 1. So, there LCM is their product i.e 723173
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/723173
Therefore, the GCF of Fractions 1376/319,2826/2267 is 2/723173
Least Common Multiple of 319,2267 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 319,2267 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(319,2267) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(319,2267) x common factors =1 x 1 = 1
LCM(319,2267) = ( 319 × 2267 ) / 1
LCM(319,2267) = 723173 / 1
LCM(319,2267) = 723173
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FAQs on GCF of Fractions of 1376/319, 2826/2267
1. What is the HCF of 1376,2826?
The HCF of 1376,2826 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 1376/319, 2826/2267?
Answer: GCF of Numerators as per given numbers 1376/319, 2826/2267 is
GCF of Numerators i.e. for 1376,2826 is 2
LCM of denominators i.e. for 319,2267 is 723173.
Thus, GCF of Fractions is 2/723173.Finally, GCF of Fractions for 1376/319, 2826/2267 is 2/723173.