GCF of 3803/416, 6984/5894
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3803/416, 6984/5894 i.e 1/1225952 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3803/416, 6984/5894.
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 3803/416,6984/5894?
Given fractions are 3803/416,6984/5894
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 3803/416,6984/5894, numerators are 3803,6984
Denominators are 416,5894
The GCF of 3803,6984 is 1 .
LCM of 416,5894 is 1225952.
The greatest common factor of 3803/416,6984/5894 = [GCF of 3803,6984]/[LCM of 416,5894]= 1/1225952
Therefore, the GCF of 3803/416,6984/5894 is 1/1225952.
To find the highest common factor of 3803,6984, we have to find the factors of both numbers and list the highest common factor.
The factors of 3803 are 1, 3803
The factors of 6984 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 97, 194, 291, 388, 582, 776, 873, 1164, 1746, 2328, 3492, 6984
The HCF of 3803,6984 is 1.
Lets's calculate GCF of 3803,6984
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3803,6984 By Matching Biggest Common Factor Method
Now, list down the factors of 3803
:1,3803
Now, list down the factors of 6984
:1,2,3,4,6,8,9,12,18,24,36,72,97,194,291,388,582,776,873,1164,1746,2328,3492,6984
Greatest Common Factor
We found the factors 3803,6984 . The biggest common factor number is the GCF number.
So the greatest common factor 3803,6984 is 1.
Lets's calculate LCM of 416,5894
| 2 | 416, 5894 |
| 208, 2947 |
∴ So the LCM of the given numbers is 2 x 208 x 2947 = 1225952
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1225952
Therefore, the GCF of Fractions 3803/416,6984/5894 is 1/1225952
Least Common Multiple of 416,5894 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 416,5894 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(416,5894) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(416,5894) x common factors =2 x 1 = 2
LCM(416,5894) = ( 416 × 5894 ) / 2
LCM(416,5894) = 2451904 / 2
LCM(416,5894) = 1225952
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FAQs on GCF of Fractions of 3803/416, 6984/5894
1. What is the HCF of 3803,6984?
The HCF of 3803,6984 is 1
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 3803/416, 6984/5894?
Answer: GCF of Numerators as per given numbers 3803/416, 6984/5894 is
GCF of Numerators i.e. for 3803,6984 is 1
LCM of denominators i.e. for 416,5894 is 1225952.
Thus, GCF of Fractions is 1/1225952.Finally, GCF of Fractions for 3803/416, 6984/5894 is 1/1225952.