GCF of 4924/581, 1147/2065
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4924/581, 1147/2065 i.e 1/171395 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4924/581, 1147/2065.
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 4924/581,1147/2065?
Given fractions are 4924/581,1147/2065
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 4924/581,1147/2065, numerators are 4924,1147
Denominators are 581,2065
The GCF of 4924,1147 is 1 .
LCM of 581,2065 is 171395.
The greatest common factor of 4924/581,1147/2065 = [GCF of 4924,1147]/[LCM of 581,2065]= 1/171395
Therefore, the GCF of 4924/581,1147/2065 is 1/171395.
To find the highest common factor of 4924,1147, we have to find the factors of both numbers and list the highest common factor.
The factors of 4924 are 1, 2, 4, 1231, 2462, 4924
The factors of 1147 are 1, 31, 37, 1147
The HCF of 4924,1147 is 1.
Lets's calculate GCF of 4924,1147
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4924,1147 By Matching Biggest Common Factor Method
Now, list down the factors of 4924
:1,2,4,1231,2462,4924
Now, list down the factors of 1147
:1,31,37,1147
Greatest Common Factor
We found the factors 4924,1147 . The biggest common factor number is the GCF number.
So the greatest common factor 4924,1147 is 1.
Lets's calculate LCM of 581,2065
| 7 | 581, 2065 |
| 83, 295 |
∴ So the LCM of the given numbers is 7 x 83 x 295 = 171395
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/171395
Therefore, the GCF of Fractions 4924/581,1147/2065 is 1/171395
Least Common Multiple of 581,2065 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 581,2065 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(581,2065) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(581,2065) x common factors =7 x 1 = 7
LCM(581,2065) = ( 581 × 2065 ) / 7
LCM(581,2065) = 1199765 / 7
LCM(581,2065) = 171395
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4924/581, 1147/2065
1. What is the HCF of 4924,1147?
The HCF of 4924,1147 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 4924/581, 1147/2065?
Answer: GCF of Numerators as per given numbers 4924/581, 1147/2065 is
GCF of Numerators i.e. for 4924,1147 is 1
LCM of denominators i.e. for 581,2065 is 171395.
Thus, GCF of Fractions is 1/171395.Finally, GCF of Fractions for 4924/581, 1147/2065 is 1/171395.