GCF of 3156/457, 2109/959
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3156/457, 2109/959 i.e 3/438263 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3156/457, 2109/959.
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 3156/457,2109/959?
Given fractions are 3156/457,2109/959
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 3156/457,2109/959, numerators are 3156,2109
Denominators are 457,959
The GCF of 3156,2109 is 3 .
LCM of 457,959 is 438263.
The greatest common factor of 3156/457,2109/959 = [GCF of 3156,2109]/[LCM of 457,959]= 3/438263
Therefore, the GCF of 3156/457,2109/959 is 3/438263.
To find the highest common factor of 3156,2109, we have to find the factors of both numbers and list the highest common factor.
The factors of 3156 are 1, 2, 3, 4, 6, 12, 263, 526, 789, 1052, 1578, 3156
The factors of 2109 are 1, 3, 19, 37, 57, 111, 703, 2109
The HCF of 3156,2109 is 3.
Lets's calculate GCF of 3156,2109
| 3 | 3156, 2109 |
| 1052, 703 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3156,2109 By Matching Biggest Common Factor Method
Now, list down the factors of 3156
:1,2,3,4,6,12,263,526,789,1052,1578,3156
Now, list down the factors of 2109
:1,3,19,37,57,111,703,2109
Greatest Common Factor
We found the factors 3156,2109 . The biggest common factor number is the GCF number.
So the greatest common factor 3156,2109 is 3.
Lets's calculate LCM of 457,959
Given numbers has no common factors except 1. So, there LCM is their product i.e 438263
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/438263
Therefore, the GCF of Fractions 3156/457,2109/959 is 3/438263
Least Common Multiple of 457,959 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 457,959 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(457,959) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(457,959) x common factors =1 x 1 = 1
LCM(457,959) = ( 457 × 959 ) / 1
LCM(457,959) = 438263 / 1
LCM(457,959) = 438263
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FAQs on GCF of Fractions of 3156/457, 2109/959
1. What is the HCF of 3156,2109?
The HCF of 3156,2109 is 3
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 3156/457, 2109/959?
Answer: GCF of Numerators as per given numbers 3156/457, 2109/959 is
GCF of Numerators i.e. for 3156,2109 is 3
LCM of denominators i.e. for 457,959 is 438263.
Thus, GCF of Fractions is 3/438263.Finally, GCF of Fractions for 3156/457, 2109/959 is 3/438263.