GCF of 5419/123, 4325/5198
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5419/123, 4325/5198 i.e 1/639354 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5419/123, 4325/5198.
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 5419/123,4325/5198?
Given fractions are 5419/123,4325/5198
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 5419/123,4325/5198, numerators are 5419,4325
Denominators are 123,5198
The GCF of 5419,4325 is 1 .
LCM of 123,5198 is 639354.
The greatest common factor of 5419/123,4325/5198 = [GCF of 5419,4325]/[LCM of 123,5198]= 1/639354
Therefore, the GCF of 5419/123,4325/5198 is 1/639354.
To find the highest common factor of 5419,4325, we have to find the factors of both numbers and list the highest common factor.
The factors of 5419 are 1, 5419
The factors of 4325 are 1, 5, 25, 173, 865, 4325
The HCF of 5419,4325 is 1.
Lets's calculate GCF of 5419,4325
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5419,4325 By Matching Biggest Common Factor Method
Now, list down the factors of 5419
:1,5419
Now, list down the factors of 4325
:1,5,25,173,865,4325
Greatest Common Factor
We found the factors 5419,4325 . The biggest common factor number is the GCF number.
So the greatest common factor 5419,4325 is 1.
Lets's calculate LCM of 123,5198
Given numbers has no common factors except 1. So, there LCM is their product i.e 639354
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/639354
Therefore, the GCF of Fractions 5419/123,4325/5198 is 1/639354
Least Common Multiple of 123,5198 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 123,5198 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(123,5198) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(123,5198) x common factors =1 x 1 = 1
LCM(123,5198) = ( 123 × 5198 ) / 1
LCM(123,5198) = 639354 / 1
LCM(123,5198) = 639354
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FAQs on GCF of Fractions of 5419/123, 4325/5198
1. What is the HCF of 5419,4325?
The HCF of 5419,4325 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 5419/123, 4325/5198?
Answer: GCF of Numerators as per given numbers 5419/123, 4325/5198 is
GCF of Numerators i.e. for 5419,4325 is 1
LCM of denominators i.e. for 123,5198 is 639354.
Thus, GCF of Fractions is 1/639354.Finally, GCF of Fractions for 5419/123, 4325/5198 is 1/639354.