GCF of 5066/586, 9157/1304
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5066/586, 9157/1304 i.e 1/382072 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5066/586, 9157/1304.
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 5066/586,9157/1304?
Given fractions are 5066/586,9157/1304
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 5066/586,9157/1304, numerators are 5066,9157
Denominators are 586,1304
The GCF of 5066,9157 is 1 .
LCM of 586,1304 is 382072.
The greatest common factor of 5066/586,9157/1304 = [GCF of 5066,9157]/[LCM of 586,1304]= 1/382072
Therefore, the GCF of 5066/586,9157/1304 is 1/382072.
To find the highest common factor of 5066,9157, we have to find the factors of both numbers and list the highest common factor.
The factors of 5066 are 1, 2, 17, 34, 149, 298, 2533, 5066
The factors of 9157 are 1, 9157
The HCF of 5066,9157 is 1.
Lets's calculate GCF of 5066,9157
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5066,9157 By Matching Biggest Common Factor Method
Now, list down the factors of 5066
:1,2,17,34,149,298,2533,5066
Now, list down the factors of 9157
:1,9157
Greatest Common Factor
We found the factors 5066,9157 . The biggest common factor number is the GCF number.
So the greatest common factor 5066,9157 is 1.
Lets's calculate LCM of 586,1304
| 2 | 586, 1304 |
| 293, 652 |
∴ So the LCM of the given numbers is 2 x 293 x 652 = 382072
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/382072
Therefore, the GCF of Fractions 5066/586,9157/1304 is 1/382072
Least Common Multiple of 586,1304 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 586,1304 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(586,1304) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(586,1304) x common factors =2 x 1 = 2
LCM(586,1304) = ( 586 × 1304 ) / 2
LCM(586,1304) = 764144 / 2
LCM(586,1304) = 382072
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FAQs on GCF of Fractions of 5066/586, 9157/1304
1. What is the HCF of 5066,9157?
The HCF of 5066,9157 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 5066/586, 9157/1304?
Answer: GCF of Numerators as per given numbers 5066/586, 9157/1304 is
GCF of Numerators i.e. for 5066,9157 is 1
LCM of denominators i.e. for 586,1304 is 382072.
Thus, GCF of Fractions is 1/382072.Finally, GCF of Fractions for 5066/586, 9157/1304 is 1/382072.