GCF of 1474/987, 2874/6654
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1474/987, 2874/6654 i.e 2/2189166 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1474/987, 2874/6654.
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 1474/987,2874/6654?
Given fractions are 1474/987,2874/6654
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 1474/987,2874/6654, numerators are 1474,2874
Denominators are 987,6654
The GCF of 1474,2874 is 2 .
LCM of 987,6654 is 2189166.
The greatest common factor of 1474/987,2874/6654 = [GCF of 1474,2874]/[LCM of 987,6654]= 2/2189166
Therefore, the GCF of 1474/987,2874/6654 is 2/2189166.
To find the highest common factor of 1474,2874, we have to find the factors of both numbers and list the highest common factor.
The factors of 1474 are 1, 2, 11, 22, 67, 134, 737, 1474
The factors of 2874 are 1, 2, 3, 6, 479, 958, 1437, 2874
The HCF of 1474,2874 is 2.
Lets's calculate GCF of 1474,2874
| 2 | 1474, 2874 |
| 737, 1437 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1474,2874 By Matching Biggest Common Factor Method
Now, list down the factors of 1474
:1,2,11,22,67,134,737,1474
Now, list down the factors of 2874
:1,2,3,6,479,958,1437,2874
Greatest Common Factor
We found the factors 1474,2874 . The biggest common factor number is the GCF number.
So the greatest common factor 1474,2874 is 2.
Lets's calculate LCM of 987,6654
| 3 | 987, 6654 |
| 329, 2218 |
∴ So the LCM of the given numbers is 3 x 329 x 2218 = 2189166
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2189166
Therefore, the GCF of Fractions 1474/987,2874/6654 is 2/2189166
Least Common Multiple of 987,6654 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 987,6654 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(987,6654) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(987,6654) x common factors =3 x 1 = 3
LCM(987,6654) = ( 987 × 6654 ) / 3
LCM(987,6654) = 6567498 / 3
LCM(987,6654) = 2189166
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FAQs on GCF of Fractions of 1474/987, 2874/6654
1. What is the HCF of 1474,2874?
The HCF of 1474,2874 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 1474/987, 2874/6654?
Answer: GCF of Numerators as per given numbers 1474/987, 2874/6654 is
GCF of Numerators i.e. for 1474,2874 is 2
LCM of denominators i.e. for 987,6654 is 2189166.
Thus, GCF of Fractions is 2/2189166.Finally, GCF of Fractions for 1474/987, 2874/6654 is 2/2189166.