GCF of 2690/272, 1908/3090
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2690/272, 1908/3090 i.e 2/420240 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2690/272, 1908/3090.
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 2690/272,1908/3090?
Given fractions are 2690/272,1908/3090
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 2690/272,1908/3090, numerators are 2690,1908
Denominators are 272,3090
The GCF of 2690,1908 is 2 .
LCM of 272,3090 is 420240.
The greatest common factor of 2690/272,1908/3090 = [GCF of 2690,1908]/[LCM of 272,3090]= 2/420240
Therefore, the GCF of 2690/272,1908/3090 is 2/420240.
To find the highest common factor of 2690,1908, we have to find the factors of both numbers and list the highest common factor.
The factors of 2690 are 1, 2, 5, 10, 269, 538, 1345, 2690
The factors of 1908 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 53, 106, 159, 212, 318, 477, 636, 954, 1908
The HCF of 2690,1908 is 2.
Lets's calculate GCF of 2690,1908
| 2 | 2690, 1908 |
| 1345, 954 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2690,1908 By Matching Biggest Common Factor Method
Now, list down the factors of 2690
:1,2,5,10,269,538,1345,2690
Now, list down the factors of 1908
:1,2,3,4,6,9,12,18,36,53,106,159,212,318,477,636,954,1908
Greatest Common Factor
We found the factors 2690,1908 . The biggest common factor number is the GCF number.
So the greatest common factor 2690,1908 is 2.
Lets's calculate LCM of 272,3090
| 2 | 272, 3090 |
| 136, 1545 |
∴ So the LCM of the given numbers is 2 x 136 x 1545 = 420240
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/420240
Therefore, the GCF of Fractions 2690/272,1908/3090 is 2/420240
Least Common Multiple of 272,3090 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 272,3090 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(272,3090) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(272,3090) x common factors =2 x 1 = 2
LCM(272,3090) = ( 272 × 3090 ) / 2
LCM(272,3090) = 840480 / 2
LCM(272,3090) = 420240
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FAQs on GCF of Fractions of 2690/272, 1908/3090
1. What is the HCF of 2690,1908?
The HCF of 2690,1908 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 2690/272, 1908/3090?
Answer: GCF of Numerators as per given numbers 2690/272, 1908/3090 is
GCF of Numerators i.e. for 2690,1908 is 2
LCM of denominators i.e. for 272,3090 is 420240.
Thus, GCF of Fractions is 2/420240.Finally, GCF of Fractions for 2690/272, 1908/3090 is 2/420240.