GCF of 5905/350, 4354/5846
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5905/350, 4354/5846 i.e 1/1023050 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5905/350, 4354/5846.
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 5905/350,4354/5846?
Given fractions are 5905/350,4354/5846
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 5905/350,4354/5846, numerators are 5905,4354
Denominators are 350,5846
The GCF of 5905,4354 is 1 .
LCM of 350,5846 is 1023050.
The greatest common factor of 5905/350,4354/5846 = [GCF of 5905,4354]/[LCM of 350,5846]= 1/1023050
Therefore, the GCF of 5905/350,4354/5846 is 1/1023050.
To find the highest common factor of 5905,4354, we have to find the factors of both numbers and list the highest common factor.
The factors of 5905 are 1, 5, 1181, 5905
The factors of 4354 are 1, 2, 7, 14, 311, 622, 2177, 4354
The HCF of 5905,4354 is 1.
Lets's calculate GCF of 5905,4354
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5905,4354 By Matching Biggest Common Factor Method
Now, list down the factors of 5905
:1,5,1181,5905
Now, list down the factors of 4354
:1,2,7,14,311,622,2177,4354
Greatest Common Factor
We found the factors 5905,4354 . The biggest common factor number is the GCF number.
So the greatest common factor 5905,4354 is 1.
Lets's calculate LCM of 350,5846
| 2 | 350, 5846 |
| 175, 2923 |
∴ So the LCM of the given numbers is 2 x 175 x 2923 = 1023050
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1023050
Therefore, the GCF of Fractions 5905/350,4354/5846 is 1/1023050
Least Common Multiple of 350,5846 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 350,5846 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(350,5846) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(350,5846) x common factors =2 x 1 = 2
LCM(350,5846) = ( 350 × 5846 ) / 2
LCM(350,5846) = 2046100 / 2
LCM(350,5846) = 1023050
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FAQs on GCF of Fractions of 5905/350, 4354/5846
1. What is the HCF of 5905,4354?
The HCF of 5905,4354 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 5905/350, 4354/5846?
Answer: GCF of Numerators as per given numbers 5905/350, 4354/5846 is
GCF of Numerators i.e. for 5905,4354 is 1
LCM of denominators i.e. for 350,5846 is 1023050.
Thus, GCF of Fractions is 1/1023050.Finally, GCF of Fractions for 5905/350, 4354/5846 is 1/1023050.