GCF of 9683/135, 2084/3490
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9683/135, 2084/3490 i.e 1/94230 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9683/135, 2084/3490.
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 9683/135,2084/3490?
Given fractions are 9683/135,2084/3490
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 9683/135,2084/3490, numerators are 9683,2084
Denominators are 135,3490
The GCF of 9683,2084 is 1 .
LCM of 135,3490 is 94230.
The greatest common factor of 9683/135,2084/3490 = [GCF of 9683,2084]/[LCM of 135,3490]= 1/94230
Therefore, the GCF of 9683/135,2084/3490 is 1/94230.
To find the highest common factor of 9683,2084, we have to find the factors of both numbers and list the highest common factor.
The factors of 9683 are 1, 23, 421, 9683
The factors of 2084 are 1, 2, 4, 521, 1042, 2084
The HCF of 9683,2084 is 1.
Lets's calculate GCF of 9683,2084
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9683,2084 By Matching Biggest Common Factor Method
Now, list down the factors of 9683
:1,23,421,9683
Now, list down the factors of 2084
:1,2,4,521,1042,2084
Greatest Common Factor
We found the factors 9683,2084 . The biggest common factor number is the GCF number.
So the greatest common factor 9683,2084 is 1.
Lets's calculate LCM of 135,3490
| 5 | 135, 3490 |
| 27, 698 |
∴ So the LCM of the given numbers is 5 x 27 x 698 = 94230
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/94230
Therefore, the GCF of Fractions 9683/135,2084/3490 is 1/94230
Least Common Multiple of 135,3490 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 135,3490 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(135,3490) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(135,3490) x common factors =5 x 1 = 5
LCM(135,3490) = ( 135 × 3490 ) / 5
LCM(135,3490) = 471150 / 5
LCM(135,3490) = 94230
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FAQs on GCF of Fractions of 9683/135, 2084/3490
1. What is the HCF of 9683,2084?
The HCF of 9683,2084 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 9683/135, 2084/3490?
Answer: GCF of Numerators as per given numbers 9683/135, 2084/3490 is
GCF of Numerators i.e. for 9683,2084 is 1
LCM of denominators i.e. for 135,3490 is 94230.
Thus, GCF of Fractions is 1/94230.Finally, GCF of Fractions for 9683/135, 2084/3490 is 1/94230.