GCF of 364/983, 846/414
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 364/983, 846/414 i.e 2/406962 easily. The following is the detailed procedure to determine the greatest common factor of fractions 364/983, 846/414.
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 364/983,846/414?
Given fractions are 364/983,846/414
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 364/983,846/414, numerators are 364,846
Denominators are 983,414
The GCF of 364,846 is 2 .
LCM of 983,414 is 406962.
The greatest common factor of 364/983,846/414 = [GCF of 364,846]/[LCM of 983,414]= 2/406962
Therefore, the GCF of 364/983,846/414 is 2/406962.
To find the highest common factor of 364,846, we have to find the factors of both numbers and list the highest common factor.
The factors of 364 are 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
The factors of 846 are 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
The HCF of 364,846 is 2.
Lets's calculate GCF of 364,846
| 2 | 364, 846 |
| 182, 423 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 364,846 By Matching Biggest Common Factor Method
Now, list down the factors of 364
:1,2,4,7,13,14,26,28,52,91,182,364
Now, list down the factors of 846
:1,2,3,6,9,18,47,94,141,282,423,846
Greatest Common Factor
We found the factors 364,846 . The biggest common factor number is the GCF number.
So the greatest common factor 364,846 is 2.
Lets's calculate LCM of 983,414
Given numbers has no common factors except 1. So, there LCM is their product i.e 406962
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/406962
Therefore, the GCF of Fractions 364/983,846/414 is 2/406962
Least Common Multiple of 983,414 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 983,414 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(983,414) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(983,414) x common factors =1 x 1 = 1
LCM(983,414) = ( 983 × 414 ) / 1
LCM(983,414) = 406962 / 1
LCM(983,414) = 406962
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FAQs on GCF of Fractions of 364/983, 846/414
1. What is the HCF of 364,846?
The HCF of 364,846 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 364/983, 846/414?
Answer: GCF of Numerators as per given numbers 364/983, 846/414 is
GCF of Numerators i.e. for 364,846 is 2
LCM of denominators i.e. for 983,414 is 406962.
Thus, GCF of Fractions is 2/406962.Finally, GCF of Fractions for 364/983, 846/414 is 2/406962.