GCF of 2843/636, 1309/7449
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2843/636, 1309/7449 i.e 1/1579188 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2843/636, 1309/7449.
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 2843/636,1309/7449?
Given fractions are 2843/636,1309/7449
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 2843/636,1309/7449, numerators are 2843,1309
Denominators are 636,7449
The GCF of 2843,1309 is 1 .
LCM of 636,7449 is 1579188.
The greatest common factor of 2843/636,1309/7449 = [GCF of 2843,1309]/[LCM of 636,7449]= 1/1579188
Therefore, the GCF of 2843/636,1309/7449 is 1/1579188.
To find the highest common factor of 2843,1309, we have to find the factors of both numbers and list the highest common factor.
The factors of 2843 are 1, 2843
The factors of 1309 are 1, 7, 11, 17, 77, 119, 187, 1309
The HCF of 2843,1309 is 1.
Lets's calculate GCF of 2843,1309
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2843,1309 By Matching Biggest Common Factor Method
Now, list down the factors of 2843
:1,2843
Now, list down the factors of 1309
:1,7,11,17,77,119,187,1309
Greatest Common Factor
We found the factors 2843,1309 . The biggest common factor number is the GCF number.
So the greatest common factor 2843,1309 is 1.
Lets's calculate LCM of 636,7449
| 3 | 636, 7449 |
| 212, 2483 |
∴ So the LCM of the given numbers is 3 x 212 x 2483 = 1579188
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1579188
Therefore, the GCF of Fractions 2843/636,1309/7449 is 1/1579188
Least Common Multiple of 636,7449 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 636,7449 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(636,7449) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(636,7449) x common factors =3 x 1 = 3
LCM(636,7449) = ( 636 × 7449 ) / 3
LCM(636,7449) = 4737564 / 3
LCM(636,7449) = 1579188
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FAQs on GCF of Fractions of 2843/636, 1309/7449
1. What is the HCF of 2843,1309?
The HCF of 2843,1309 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 2843/636, 1309/7449?
Answer: GCF of Numerators as per given numbers 2843/636, 1309/7449 is
GCF of Numerators i.e. for 2843,1309 is 1
LCM of denominators i.e. for 636,7449 is 1579188.
Thus, GCF of Fractions is 1/1579188.Finally, GCF of Fractions for 2843/636, 1309/7449 is 1/1579188.