GCF of 1462/379, 1286/6874
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1462/379, 1286/6874 i.e 2/2605246 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1462/379, 1286/6874.
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 1462/379,1286/6874?
Given fractions are 1462/379,1286/6874
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 1462/379,1286/6874, numerators are 1462,1286
Denominators are 379,6874
The GCF of 1462,1286 is 2 .
LCM of 379,6874 is 2605246.
The greatest common factor of 1462/379,1286/6874 = [GCF of 1462,1286]/[LCM of 379,6874]= 2/2605246
Therefore, the GCF of 1462/379,1286/6874 is 2/2605246.
To find the highest common factor of 1462,1286, we have to find the factors of both numbers and list the highest common factor.
The factors of 1462 are 1, 2, 17, 34, 43, 86, 731, 1462
The factors of 1286 are 1, 2, 643, 1286
The HCF of 1462,1286 is 2.
Lets's calculate GCF of 1462,1286
| 2 | 1462, 1286 |
| 731, 643 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1462,1286 By Matching Biggest Common Factor Method
Now, list down the factors of 1462
:1,2,17,34,43,86,731,1462
Now, list down the factors of 1286
:1,2,643,1286
Greatest Common Factor
We found the factors 1462,1286 . The biggest common factor number is the GCF number.
So the greatest common factor 1462,1286 is 2.
Lets's calculate LCM of 379,6874
Given numbers has no common factors except 1. So, there LCM is their product i.e 2605246
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2605246
Therefore, the GCF of Fractions 1462/379,1286/6874 is 2/2605246
Least Common Multiple of 379,6874 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 379,6874 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(379,6874) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(379,6874) x common factors =1 x 1 = 1
LCM(379,6874) = ( 379 × 6874 ) / 1
LCM(379,6874) = 2605246 / 1
LCM(379,6874) = 2605246
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FAQs on GCF of Fractions of 1462/379, 1286/6874
1. What is the HCF of 1462,1286?
The HCF of 1462,1286 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 1462/379, 1286/6874?
Answer: GCF of Numerators as per given numbers 1462/379, 1286/6874 is
GCF of Numerators i.e. for 1462,1286 is 2
LCM of denominators i.e. for 379,6874 is 2605246.
Thus, GCF of Fractions is 2/2605246.Finally, GCF of Fractions for 1462/379, 1286/6874 is 2/2605246.