GCF of 3029/281, 2076/130
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3029/281, 2076/130 i.e 1/36530 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3029/281, 2076/130.
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 3029/281,2076/130?
Given fractions are 3029/281,2076/130
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 3029/281,2076/130, numerators are 3029,2076
Denominators are 281,130
The GCF of 3029,2076 is 1 .
LCM of 281,130 is 36530.
The greatest common factor of 3029/281,2076/130 = [GCF of 3029,2076]/[LCM of 281,130]= 1/36530
Therefore, the GCF of 3029/281,2076/130 is 1/36530.
To find the highest common factor of 3029,2076, we have to find the factors of both numbers and list the highest common factor.
The factors of 3029 are 1, 13, 233, 3029
The factors of 2076 are 1, 2, 3, 4, 6, 12, 173, 346, 519, 692, 1038, 2076
The HCF of 3029,2076 is 1.
Lets's calculate GCF of 3029,2076
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3029,2076 By Matching Biggest Common Factor Method
Now, list down the factors of 3029
:1,13,233,3029
Now, list down the factors of 2076
:1,2,3,4,6,12,173,346,519,692,1038,2076
Greatest Common Factor
We found the factors 3029,2076 . The biggest common factor number is the GCF number.
So the greatest common factor 3029,2076 is 1.
Lets's calculate LCM of 281,130
Given numbers has no common factors except 1. So, there LCM is their product i.e 36530
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/36530
Therefore, the GCF of Fractions 3029/281,2076/130 is 1/36530
Least Common Multiple of 281,130 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 281,130 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(281,130) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(281,130) x common factors =1 x 1 = 1
LCM(281,130) = ( 281 × 130 ) / 1
LCM(281,130) = 36530 / 1
LCM(281,130) = 36530
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3029/281, 2076/130
1. What is the HCF of 3029,2076?
The HCF of 3029,2076 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 3029/281, 2076/130?
Answer: GCF of Numerators as per given numbers 3029/281, 2076/130 is
GCF of Numerators i.e. for 3029,2076 is 1
LCM of denominators i.e. for 281,130 is 36530.
Thus, GCF of Fractions is 1/36530.Finally, GCF of Fractions for 3029/281, 2076/130 is 1/36530.