GCF of 9862/364, 3914/3018
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9862/364, 3914/3018 i.e 2/549276 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9862/364, 3914/3018.
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 9862/364,3914/3018?
Given fractions are 9862/364,3914/3018
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 9862/364,3914/3018, numerators are 9862,3914
Denominators are 364,3018
The GCF of 9862,3914 is 2 .
LCM of 364,3018 is 549276.
The greatest common factor of 9862/364,3914/3018 = [GCF of 9862,3914]/[LCM of 364,3018]= 2/549276
Therefore, the GCF of 9862/364,3914/3018 is 2/549276.
To find the highest common factor of 9862,3914, we have to find the factors of both numbers and list the highest common factor.
The factors of 9862 are 1, 2, 4931, 9862
The factors of 3914 are 1, 2, 19, 38, 103, 206, 1957, 3914
The HCF of 9862,3914 is 2.
Lets's calculate GCF of 9862,3914
| 2 | 9862, 3914 |
| 4931, 1957 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9862,3914 By Matching Biggest Common Factor Method
Now, list down the factors of 9862
:1,2,4931,9862
Now, list down the factors of 3914
:1,2,19,38,103,206,1957,3914
Greatest Common Factor
We found the factors 9862,3914 . The biggest common factor number is the GCF number.
So the greatest common factor 9862,3914 is 2.
Lets's calculate LCM of 364,3018
| 2 | 364, 3018 |
| 182, 1509 |
∴ So the LCM of the given numbers is 2 x 182 x 1509 = 549276
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/549276
Therefore, the GCF of Fractions 9862/364,3914/3018 is 2/549276
Least Common Multiple of 364,3018 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 364,3018 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(364,3018) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(364,3018) x common factors =2 x 1 = 2
LCM(364,3018) = ( 364 × 3018 ) / 2
LCM(364,3018) = 1098552 / 2
LCM(364,3018) = 549276
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FAQs on GCF of Fractions of 9862/364, 3914/3018
1. What is the HCF of 9862,3914?
The HCF of 9862,3914 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 9862/364, 3914/3018?
Answer: GCF of Numerators as per given numbers 9862/364, 3914/3018 is
GCF of Numerators i.e. for 9862,3914 is 2
LCM of denominators i.e. for 364,3018 is 549276.
Thus, GCF of Fractions is 2/549276.Finally, GCF of Fractions for 9862/364, 3914/3018 is 2/549276.