GCF of 3099/159, 4385/9731
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3099/159, 4385/9731 i.e 1/1547229 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3099/159, 4385/9731.
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 3099/159,4385/9731?
Given fractions are 3099/159,4385/9731
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 3099/159,4385/9731, numerators are 3099,4385
Denominators are 159,9731
The GCF of 3099,4385 is 1 .
LCM of 159,9731 is 1547229.
The greatest common factor of 3099/159,4385/9731 = [GCF of 3099,4385]/[LCM of 159,9731]= 1/1547229
Therefore, the GCF of 3099/159,4385/9731 is 1/1547229.
To find the highest common factor of 3099,4385, we have to find the factors of both numbers and list the highest common factor.
The factors of 3099 are 1, 3, 1033, 3099
The factors of 4385 are 1, 5, 877, 4385
The HCF of 3099,4385 is 1.
Lets's calculate GCF of 3099,4385
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3099,4385 By Matching Biggest Common Factor Method
Now, list down the factors of 3099
:1,3,1033,3099
Now, list down the factors of 4385
:1,5,877,4385
Greatest Common Factor
We found the factors 3099,4385 . The biggest common factor number is the GCF number.
So the greatest common factor 3099,4385 is 1.
Lets's calculate LCM of 159,9731
Given numbers has no common factors except 1. So, there LCM is their product i.e 1547229
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1547229
Therefore, the GCF of Fractions 3099/159,4385/9731 is 1/1547229
Least Common Multiple of 159,9731 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 159,9731 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(159,9731) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(159,9731) x common factors =1 x 1 = 1
LCM(159,9731) = ( 159 × 9731 ) / 1
LCM(159,9731) = 1547229 / 1
LCM(159,9731) = 1547229
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FAQs on GCF of Fractions of 3099/159, 4385/9731
1. What is the HCF of 3099,4385?
The HCF of 3099,4385 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 3099/159, 4385/9731?
Answer: GCF of Numerators as per given numbers 3099/159, 4385/9731 is
GCF of Numerators i.e. for 3099,4385 is 1
LCM of denominators i.e. for 159,9731 is 1547229.
Thus, GCF of Fractions is 1/1547229.Finally, GCF of Fractions for 3099/159, 4385/9731 is 1/1547229.