GCF of 994/839, 382/874
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 994/839, 382/874 i.e 2/733286 easily. The following is the detailed procedure to determine the greatest common factor of fractions 994/839, 382/874.
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 994/839,382/874?
Given fractions are 994/839,382/874
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 994/839,382/874, numerators are 994,382
Denominators are 839,874
The GCF of 994,382 is 2 .
LCM of 839,874 is 733286.
The greatest common factor of 994/839,382/874 = [GCF of 994,382]/[LCM of 839,874]= 2/733286
Therefore, the GCF of 994/839,382/874 is 2/733286.
To find the highest common factor of 994,382, we have to find the factors of both numbers and list the highest common factor.
The factors of 994 are 1, 2, 7, 14, 71, 142, 497, 994
The factors of 382 are 1, 2, 191, 382
The HCF of 994,382 is 2.
Lets's calculate GCF of 994,382
| 2 | 994, 382 |
| 497, 191 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 994,382 By Matching Biggest Common Factor Method
Now, list down the factors of 994
:1,2,7,14,71,142,497,994
Now, list down the factors of 382
:1,2,191,382
Greatest Common Factor
We found the factors 994,382 . The biggest common factor number is the GCF number.
So the greatest common factor 994,382 is 2.
Lets's calculate LCM of 839,874
Given numbers has no common factors except 1. So, there LCM is their product i.e 733286
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/733286
Therefore, the GCF of Fractions 994/839,382/874 is 2/733286
Least Common Multiple of 839,874 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 839,874 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(839,874) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(839,874) x common factors =1 x 1 = 1
LCM(839,874) = ( 839 × 874 ) / 1
LCM(839,874) = 733286 / 1
LCM(839,874) = 733286
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FAQs on GCF of Fractions of 994/839, 382/874
1. What is the HCF of 994,382?
The HCF of 994,382 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 994/839, 382/874?
Answer: GCF of Numerators as per given numbers 994/839, 382/874 is
GCF of Numerators i.e. for 994,382 is 2
LCM of denominators i.e. for 839,874 is 733286.
Thus, GCF of Fractions is 2/733286.Finally, GCF of Fractions for 994/839, 382/874 is 2/733286.