GCF of 5077/344, 6414/5175
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5077/344, 6414/5175 i.e 1/1780200 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5077/344, 6414/5175.
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 5077/344,6414/5175?
Given fractions are 5077/344,6414/5175
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 5077/344,6414/5175, numerators are 5077,6414
Denominators are 344,5175
The GCF of 5077,6414 is 1 .
LCM of 344,5175 is 1780200.
The greatest common factor of 5077/344,6414/5175 = [GCF of 5077,6414]/[LCM of 344,5175]= 1/1780200
Therefore, the GCF of 5077/344,6414/5175 is 1/1780200.
To find the highest common factor of 5077,6414, we have to find the factors of both numbers and list the highest common factor.
The factors of 5077 are 1, 5077
The factors of 6414 are 1, 2, 3, 6, 1069, 2138, 3207, 6414
The HCF of 5077,6414 is 1.
Lets's calculate GCF of 5077,6414
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5077,6414 By Matching Biggest Common Factor Method
Now, list down the factors of 5077
:1,5077
Now, list down the factors of 6414
:1,2,3,6,1069,2138,3207,6414
Greatest Common Factor
We found the factors 5077,6414 . The biggest common factor number is the GCF number.
So the greatest common factor 5077,6414 is 1.
Lets's calculate LCM of 344,5175
Given numbers has no common factors except 1. So, there LCM is their product i.e 1780200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1780200
Therefore, the GCF of Fractions 5077/344,6414/5175 is 1/1780200
Least Common Multiple of 344,5175 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 344,5175 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(344,5175) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(344,5175) x common factors =1 x 1 = 1
LCM(344,5175) = ( 344 × 5175 ) / 1
LCM(344,5175) = 1780200 / 1
LCM(344,5175) = 1780200
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FAQs on GCF of Fractions of 5077/344, 6414/5175
1. What is the HCF of 5077,6414?
The HCF of 5077,6414 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 5077/344, 6414/5175?
Answer: GCF of Numerators as per given numbers 5077/344, 6414/5175 is
GCF of Numerators i.e. for 5077,6414 is 1
LCM of denominators i.e. for 344,5175 is 1780200.
Thus, GCF of Fractions is 1/1780200.Finally, GCF of Fractions for 5077/344, 6414/5175 is 1/1780200.