GCF of 5746/197, 4939/6467
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5746/197, 4939/6467 i.e 1/1273999 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5746/197, 4939/6467.
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 5746/197,4939/6467?
Given fractions are 5746/197,4939/6467
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 5746/197,4939/6467, numerators are 5746,4939
Denominators are 197,6467
The GCF of 5746,4939 is 1 .
LCM of 197,6467 is 1273999.
The greatest common factor of 5746/197,4939/6467 = [GCF of 5746,4939]/[LCM of 197,6467]= 1/1273999
Therefore, the GCF of 5746/197,4939/6467 is 1/1273999.
To find the highest common factor of 5746,4939, we have to find the factors of both numbers and list the highest common factor.
The factors of 5746 are 1, 2, 13, 17, 26, 34, 169, 221, 338, 442, 2873, 5746
The factors of 4939 are 1, 11, 449, 4939
The HCF of 5746,4939 is 1.
Lets's calculate GCF of 5746,4939
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5746,4939 By Matching Biggest Common Factor Method
Now, list down the factors of 5746
:1,2,13,17,26,34,169,221,338,442,2873,5746
Now, list down the factors of 4939
:1,11,449,4939
Greatest Common Factor
We found the factors 5746,4939 . The biggest common factor number is the GCF number.
So the greatest common factor 5746,4939 is 1.
Lets's calculate LCM of 197,6467
Given numbers has no common factors except 1. So, there LCM is their product i.e 1273999
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1273999
Therefore, the GCF of Fractions 5746/197,4939/6467 is 1/1273999
Least Common Multiple of 197,6467 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 197,6467 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(197,6467) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(197,6467) x common factors =1 x 1 = 1
LCM(197,6467) = ( 197 × 6467 ) / 1
LCM(197,6467) = 1273999 / 1
LCM(197,6467) = 1273999
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FAQs on GCF of Fractions of 5746/197, 4939/6467
1. What is the HCF of 5746,4939?
The HCF of 5746,4939 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 5746/197, 4939/6467?
Answer: GCF of Numerators as per given numbers 5746/197, 4939/6467 is
GCF of Numerators i.e. for 5746,4939 is 1
LCM of denominators i.e. for 197,6467 is 1273999.
Thus, GCF of Fractions is 1/1273999.Finally, GCF of Fractions for 5746/197, 4939/6467 is 1/1273999.