GCF of 5461/227, 6094/7945
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5461/227, 6094/7945 i.e 1/7945 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5461/227, 6094/7945.
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 5461/227,6094/7945?
Given fractions are 5461/227,6094/7945
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 5461/227,6094/7945, numerators are 5461,6094
Denominators are 227,7945
The GCF of 5461,6094 is 1 .
LCM of 227,7945 is 7945.
The greatest common factor of 5461/227,6094/7945 = [GCF of 5461,6094]/[LCM of 227,7945]= 1/7945
Therefore, the GCF of 5461/227,6094/7945 is 1/7945.
To find the highest common factor of 5461,6094, we have to find the factors of both numbers and list the highest common factor.
The factors of 5461 are 1, 43, 127, 5461
The factors of 6094 are 1, 2, 11, 22, 277, 554, 3047, 6094
The HCF of 5461,6094 is 1.
Lets's calculate GCF of 5461,6094
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5461,6094 By Matching Biggest Common Factor Method
Now, list down the factors of 5461
:1,43,127,5461
Now, list down the factors of 6094
:1,2,11,22,277,554,3047,6094
Greatest Common Factor
We found the factors 5461,6094 . The biggest common factor number is the GCF number.
So the greatest common factor 5461,6094 is 1.
Lets's calculate LCM of 227,7945
| 227 | 227, 7945 |
| 1, 35 |
∴ So the LCM of the given numbers is 227 x 1 x 35 = 7945
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7945
Therefore, the GCF of Fractions 5461/227,6094/7945 is 1/7945
Least Common Multiple of 227,7945 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 227,7945 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(227,7945) = 227
common factors(in case of two or more numbers have common factors) = 1
GCF(227,7945) x common factors =227 x 1 = 227
LCM(227,7945) = ( 227 × 7945 ) / 227
LCM(227,7945) = 1803515 / 227
LCM(227,7945) = 7945
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FAQs on GCF of Fractions of 5461/227, 6094/7945
1. What is the HCF of 5461,6094?
The HCF of 5461,6094 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 5461/227, 6094/7945?
Answer: GCF of Numerators as per given numbers 5461/227, 6094/7945 is
GCF of Numerators i.e. for 5461,6094 is 1
LCM of denominators i.e. for 227,7945 is 7945.
Thus, GCF of Fractions is 1/7945.Finally, GCF of Fractions for 5461/227, 6094/7945 is 1/7945.