GCF of 7174/177, 6049/2317
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7174/177, 6049/2317 i.e 1/410109 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7174/177, 6049/2317.
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 7174/177,6049/2317?
Given fractions are 7174/177,6049/2317
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 7174/177,6049/2317, numerators are 7174,6049
Denominators are 177,2317
The GCF of 7174,6049 is 1 .
LCM of 177,2317 is 410109.
The greatest common factor of 7174/177,6049/2317 = [GCF of 7174,6049]/[LCM of 177,2317]= 1/410109
Therefore, the GCF of 7174/177,6049/2317 is 1/410109.
To find the highest common factor of 7174,6049, we have to find the factors of both numbers and list the highest common factor.
The factors of 7174 are 1, 2, 17, 34, 211, 422, 3587, 7174
The factors of 6049 are 1, 23, 263, 6049
The HCF of 7174,6049 is 1.
Lets's calculate GCF of 7174,6049
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7174,6049 By Matching Biggest Common Factor Method
Now, list down the factors of 7174
:1,2,17,34,211,422,3587,7174
Now, list down the factors of 6049
:1,23,263,6049
Greatest Common Factor
We found the factors 7174,6049 . The biggest common factor number is the GCF number.
So the greatest common factor 7174,6049 is 1.
Lets's calculate LCM of 177,2317
Given numbers has no common factors except 1. So, there LCM is their product i.e 410109
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/410109
Therefore, the GCF of Fractions 7174/177,6049/2317 is 1/410109
Least Common Multiple of 177,2317 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 177,2317 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(177,2317) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(177,2317) x common factors =1 x 1 = 1
LCM(177,2317) = ( 177 × 2317 ) / 1
LCM(177,2317) = 410109 / 1
LCM(177,2317) = 410109
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FAQs on GCF of Fractions of 7174/177, 6049/2317
1. What is the HCF of 7174,6049?
The HCF of 7174,6049 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 7174/177, 6049/2317?
Answer: GCF of Numerators as per given numbers 7174/177, 6049/2317 is
GCF of Numerators i.e. for 7174,6049 is 1
LCM of denominators i.e. for 177,2317 is 410109.
Thus, GCF of Fractions is 1/410109.Finally, GCF of Fractions for 7174/177, 6049/2317 is 1/410109.