GCF of 6094/123, 4369/277
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6094/123, 4369/277 i.e 1/34071 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6094/123, 4369/277.
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 6094/123,4369/277?
Given fractions are 6094/123,4369/277
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 6094/123,4369/277, numerators are 6094,4369
Denominators are 123,277
The GCF of 6094,4369 is 1 .
LCM of 123,277 is 34071.
The greatest common factor of 6094/123,4369/277 = [GCF of 6094,4369]/[LCM of 123,277]= 1/34071
Therefore, the GCF of 6094/123,4369/277 is 1/34071.
To find the highest common factor of 6094,4369, we have to find the factors of both numbers and list the highest common factor.
The factors of 6094 are 1, 2, 11, 22, 277, 554, 3047, 6094
The factors of 4369 are 1, 17, 257, 4369
The HCF of 6094,4369 is 1.
Lets's calculate GCF of 6094,4369
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6094,4369 By Matching Biggest Common Factor Method
Now, list down the factors of 6094
:1,2,11,22,277,554,3047,6094
Now, list down the factors of 4369
:1,17,257,4369
Greatest Common Factor
We found the factors 6094,4369 . The biggest common factor number is the GCF number.
So the greatest common factor 6094,4369 is 1.
Lets's calculate LCM of 123,277
Given numbers has no common factors except 1. So, there LCM is their product i.e 34071
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/34071
Therefore, the GCF of Fractions 6094/123,4369/277 is 1/34071
Least Common Multiple of 123,277 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 123,277 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(123,277) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(123,277) x common factors =1 x 1 = 1
LCM(123,277) = ( 123 × 277 ) / 1
LCM(123,277) = 34071 / 1
LCM(123,277) = 34071
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FAQs on GCF of Fractions of 6094/123, 4369/277
1. What is the HCF of 6094,4369?
The HCF of 6094,4369 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 6094/123, 4369/277?
Answer: GCF of Numerators as per given numbers 6094/123, 4369/277 is
GCF of Numerators i.e. for 6094,4369 is 1
LCM of denominators i.e. for 123,277 is 34071.
Thus, GCF of Fractions is 1/34071.Finally, GCF of Fractions for 6094/123, 4369/277 is 1/34071.