GCF of 2172/289, 6703/1908
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2172/289, 6703/1908 i.e 1/551412 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2172/289, 6703/1908.
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 2172/289,6703/1908?
Given fractions are 2172/289,6703/1908
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 2172/289,6703/1908, numerators are 2172,6703
Denominators are 289,1908
The GCF of 2172,6703 is 1 .
LCM of 289,1908 is 551412.
The greatest common factor of 2172/289,6703/1908 = [GCF of 2172,6703]/[LCM of 289,1908]= 1/551412
Therefore, the GCF of 2172/289,6703/1908 is 1/551412.
To find the highest common factor of 2172,6703, we have to find the factors of both numbers and list the highest common factor.
The factors of 2172 are 1, 2, 3, 4, 6, 12, 181, 362, 543, 724, 1086, 2172
The factors of 6703 are 1, 6703
The HCF of 2172,6703 is 1.
Lets's calculate GCF of 2172,6703
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2172,6703 By Matching Biggest Common Factor Method
Now, list down the factors of 2172
:1,2,3,4,6,12,181,362,543,724,1086,2172
Now, list down the factors of 6703
:1,6703
Greatest Common Factor
We found the factors 2172,6703 . The biggest common factor number is the GCF number.
So the greatest common factor 2172,6703 is 1.
Lets's calculate LCM of 289,1908
Given numbers has no common factors except 1. So, there LCM is their product i.e 551412
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/551412
Therefore, the GCF of Fractions 2172/289,6703/1908 is 1/551412
Least Common Multiple of 289,1908 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 289,1908 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(289,1908) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(289,1908) x common factors =1 x 1 = 1
LCM(289,1908) = ( 289 × 1908 ) / 1
LCM(289,1908) = 551412 / 1
LCM(289,1908) = 551412
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FAQs on GCF of Fractions of 2172/289, 6703/1908
1. What is the HCF of 2172,6703?
The HCF of 2172,6703 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 2172/289, 6703/1908?
Answer: GCF of Numerators as per given numbers 2172/289, 6703/1908 is
GCF of Numerators i.e. for 2172,6703 is 1
LCM of denominators i.e. for 289,1908 is 551412.
Thus, GCF of Fractions is 1/551412.Finally, GCF of Fractions for 2172/289, 6703/1908 is 1/551412.