GCF of 1204/414, 9991/4358
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1204/414, 9991/4358 i.e 1/902106 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1204/414, 9991/4358.
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 1204/414,9991/4358?
Given fractions are 1204/414,9991/4358
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 1204/414,9991/4358, numerators are 1204,9991
Denominators are 414,4358
The GCF of 1204,9991 is 1 .
LCM of 414,4358 is 902106.
The greatest common factor of 1204/414,9991/4358 = [GCF of 1204,9991]/[LCM of 414,4358]= 1/902106
Therefore, the GCF of 1204/414,9991/4358 is 1/902106.
To find the highest common factor of 1204,9991, we have to find the factors of both numbers and list the highest common factor.
The factors of 1204 are 1, 2, 4, 7, 14, 28, 43, 86, 172, 301, 602, 1204
The factors of 9991 are 1, 97, 103, 9991
The HCF of 1204,9991 is 1.
Lets's calculate GCF of 1204,9991
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1204,9991 By Matching Biggest Common Factor Method
Now, list down the factors of 1204
:1,2,4,7,14,28,43,86,172,301,602,1204
Now, list down the factors of 9991
:1,97,103,9991
Greatest Common Factor
We found the factors 1204,9991 . The biggest common factor number is the GCF number.
So the greatest common factor 1204,9991 is 1.
Lets's calculate LCM of 414,4358
| 2 | 414, 4358 |
| 207, 2179 |
∴ So the LCM of the given numbers is 2 x 207 x 2179 = 902106
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/902106
Therefore, the GCF of Fractions 1204/414,9991/4358 is 1/902106
Least Common Multiple of 414,4358 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 414,4358 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(414,4358) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(414,4358) x common factors =2 x 1 = 2
LCM(414,4358) = ( 414 × 4358 ) / 2
LCM(414,4358) = 1804212 / 2
LCM(414,4358) = 902106
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FAQs on GCF of Fractions of 1204/414, 9991/4358
1. What is the HCF of 1204,9991?
The HCF of 1204,9991 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 1204/414, 9991/4358?
Answer: GCF of Numerators as per given numbers 1204/414, 9991/4358 is
GCF of Numerators i.e. for 1204,9991 is 1
LCM of denominators i.e. for 414,4358 is 902106.
Thus, GCF of Fractions is 1/902106.Finally, GCF of Fractions for 1204/414, 9991/4358 is 1/902106.