GCF of 3166/209, 2154/337
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3166/209, 2154/337 i.e 2/70433 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3166/209, 2154/337.
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 3166/209,2154/337?
Given fractions are 3166/209,2154/337
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 3166/209,2154/337, numerators are 3166,2154
Denominators are 209,337
The GCF of 3166,2154 is 2 .
LCM of 209,337 is 70433.
The greatest common factor of 3166/209,2154/337 = [GCF of 3166,2154]/[LCM of 209,337]= 2/70433
Therefore, the GCF of 3166/209,2154/337 is 2/70433.
To find the highest common factor of 3166,2154, we have to find the factors of both numbers and list the highest common factor.
The factors of 3166 are 1, 2, 1583, 3166
The factors of 2154 are 1, 2, 3, 6, 359, 718, 1077, 2154
The HCF of 3166,2154 is 2.
Lets's calculate GCF of 3166,2154
| 2 | 3166, 2154 |
| 1583, 1077 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3166,2154 By Matching Biggest Common Factor Method
Now, list down the factors of 3166
:1,2,1583,3166
Now, list down the factors of 2154
:1,2,3,6,359,718,1077,2154
Greatest Common Factor
We found the factors 3166,2154 . The biggest common factor number is the GCF number.
So the greatest common factor 3166,2154 is 2.
Lets's calculate LCM of 209,337
Given numbers has no common factors except 1. So, there LCM is their product i.e 70433
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/70433
Therefore, the GCF of Fractions 3166/209,2154/337 is 2/70433
Least Common Multiple of 209,337 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 209,337 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(209,337) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(209,337) x common factors =1 x 1 = 1
LCM(209,337) = ( 209 × 337 ) / 1
LCM(209,337) = 70433 / 1
LCM(209,337) = 70433
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FAQs on GCF of Fractions of 3166/209, 2154/337
1. What is the HCF of 3166,2154?
The HCF of 3166,2154 is 2
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 3166/209, 2154/337?
Answer: GCF of Numerators as per given numbers 3166/209, 2154/337 is
GCF of Numerators i.e. for 3166,2154 is 2
LCM of denominators i.e. for 209,337 is 70433.
Thus, GCF of Fractions is 2/70433.Finally, GCF of Fractions for 3166/209, 2154/337 is 2/70433.