GCF of 3154/137, 9609/4020
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3154/137, 9609/4020 i.e 1/550740 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3154/137, 9609/4020.
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 3154/137,9609/4020?
Given fractions are 3154/137,9609/4020
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 3154/137,9609/4020, numerators are 3154,9609
Denominators are 137,4020
The GCF of 3154,9609 is 1 .
LCM of 137,4020 is 550740.
The greatest common factor of 3154/137,9609/4020 = [GCF of 3154,9609]/[LCM of 137,4020]= 1/550740
Therefore, the GCF of 3154/137,9609/4020 is 1/550740.
To find the highest common factor of 3154,9609, we have to find the factors of both numbers and list the highest common factor.
The factors of 3154 are 1, 2, 19, 38, 83, 166, 1577, 3154
The factors of 9609 are 1, 3, 3203, 9609
The HCF of 3154,9609 is 1.
Lets's calculate GCF of 3154,9609
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3154,9609 By Matching Biggest Common Factor Method
Now, list down the factors of 3154
:1,2,19,38,83,166,1577,3154
Now, list down the factors of 9609
:1,3,3203,9609
Greatest Common Factor
We found the factors 3154,9609 . The biggest common factor number is the GCF number.
So the greatest common factor 3154,9609 is 1.
Lets's calculate LCM of 137,4020
Given numbers has no common factors except 1. So, there LCM is their product i.e 550740
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/550740
Therefore, the GCF of Fractions 3154/137,9609/4020 is 1/550740
Least Common Multiple of 137,4020 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 137,4020 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(137,4020) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(137,4020) x common factors =1 x 1 = 1
LCM(137,4020) = ( 137 × 4020 ) / 1
LCM(137,4020) = 550740 / 1
LCM(137,4020) = 550740
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3154/137, 9609/4020
1. What is the HCF of 3154,9609?
The HCF of 3154,9609 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 3154/137, 9609/4020?
Answer: GCF of Numerators as per given numbers 3154/137, 9609/4020 is
GCF of Numerators i.e. for 3154,9609 is 1
LCM of denominators i.e. for 137,4020 is 550740.
Thus, GCF of Fractions is 1/550740.Finally, GCF of Fractions for 3154/137, 9609/4020 is 1/550740.