GCF of 9199/334, 6172/1931
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9199/334, 6172/1931 i.e 1/644954 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9199/334, 6172/1931.
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 9199/334,6172/1931?
Given fractions are 9199/334,6172/1931
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 9199/334,6172/1931, numerators are 9199,6172
Denominators are 334,1931
The GCF of 9199,6172 is 1 .
LCM of 334,1931 is 644954.
The greatest common factor of 9199/334,6172/1931 = [GCF of 9199,6172]/[LCM of 334,1931]= 1/644954
Therefore, the GCF of 9199/334,6172/1931 is 1/644954.
To find the highest common factor of 9199,6172, we have to find the factors of both numbers and list the highest common factor.
The factors of 9199 are 1, 9199
The factors of 6172 are 1, 2, 4, 1543, 3086, 6172
The HCF of 9199,6172 is 1.
Lets's calculate GCF of 9199,6172
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9199,6172 By Matching Biggest Common Factor Method
Now, list down the factors of 9199
:1,9199
Now, list down the factors of 6172
:1,2,4,1543,3086,6172
Greatest Common Factor
We found the factors 9199,6172 . The biggest common factor number is the GCF number.
So the greatest common factor 9199,6172 is 1.
Lets's calculate LCM of 334,1931
Given numbers has no common factors except 1. So, there LCM is their product i.e 644954
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/644954
Therefore, the GCF of Fractions 9199/334,6172/1931 is 1/644954
Least Common Multiple of 334,1931 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 334,1931 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(334,1931) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(334,1931) x common factors =1 x 1 = 1
LCM(334,1931) = ( 334 × 1931 ) / 1
LCM(334,1931) = 644954 / 1
LCM(334,1931) = 644954
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FAQs on GCF of Fractions of 9199/334, 6172/1931
1. What is the HCF of 9199,6172?
The HCF of 9199,6172 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 9199/334, 6172/1931?
Answer: GCF of Numerators as per given numbers 9199/334, 6172/1931 is
GCF of Numerators i.e. for 9199,6172 is 1
LCM of denominators i.e. for 334,1931 is 644954.
Thus, GCF of Fractions is 1/644954.Finally, GCF of Fractions for 9199/334, 6172/1931 is 1/644954.