GCF of 1696/204, 9789/2690
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1696/204, 9789/2690 i.e 1/274380 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1696/204, 9789/2690.
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 1696/204,9789/2690?
Given fractions are 1696/204,9789/2690
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 1696/204,9789/2690, numerators are 1696,9789
Denominators are 204,2690
The GCF of 1696,9789 is 1 .
LCM of 204,2690 is 274380.
The greatest common factor of 1696/204,9789/2690 = [GCF of 1696,9789]/[LCM of 204,2690]= 1/274380
Therefore, the GCF of 1696/204,9789/2690 is 1/274380.
To find the highest common factor of 1696,9789, we have to find the factors of both numbers and list the highest common factor.
The factors of 1696 are 1, 2, 4, 8, 16, 32, 53, 106, 212, 424, 848, 1696
The factors of 9789 are 1, 3, 13, 39, 251, 753, 3263, 9789
The HCF of 1696,9789 is 1.
Lets's calculate GCF of 1696,9789
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1696,9789 By Matching Biggest Common Factor Method
Now, list down the factors of 1696
:1,2,4,8,16,32,53,106,212,424,848,1696
Now, list down the factors of 9789
:1,3,13,39,251,753,3263,9789
Greatest Common Factor
We found the factors 1696,9789 . The biggest common factor number is the GCF number.
So the greatest common factor 1696,9789 is 1.
Lets's calculate LCM of 204,2690
| 2 | 204, 2690 |
| 102, 1345 |
∴ So the LCM of the given numbers is 2 x 102 x 1345 = 274380
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/274380
Therefore, the GCF of Fractions 1696/204,9789/2690 is 1/274380
Least Common Multiple of 204,2690 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 204,2690 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(204,2690) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(204,2690) x common factors =2 x 1 = 2
LCM(204,2690) = ( 204 × 2690 ) / 2
LCM(204,2690) = 548760 / 2
LCM(204,2690) = 274380
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FAQs on GCF of Fractions of 1696/204, 9789/2690
1. What is the HCF of 1696,9789?
The HCF of 1696,9789 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 1696/204, 9789/2690?
Answer: GCF of Numerators as per given numbers 1696/204, 9789/2690 is
GCF of Numerators i.e. for 1696,9789 is 1
LCM of denominators i.e. for 204,2690 is 274380.
Thus, GCF of Fractions is 1/274380.Finally, GCF of Fractions for 1696/204, 9789/2690 is 1/274380.