GCF of 3686/182, 3983/7240
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3686/182, 3983/7240 i.e 1/658840 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3686/182, 3983/7240.
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 3686/182,3983/7240?
Given fractions are 3686/182,3983/7240
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 3686/182,3983/7240, numerators are 3686,3983
Denominators are 182,7240
The GCF of 3686,3983 is 1 .
LCM of 182,7240 is 658840.
The greatest common factor of 3686/182,3983/7240 = [GCF of 3686,3983]/[LCM of 182,7240]= 1/658840
Therefore, the GCF of 3686/182,3983/7240 is 1/658840.
To find the highest common factor of 3686,3983, we have to find the factors of both numbers and list the highest common factor.
The factors of 3686 are 1, 2, 19, 38, 97, 194, 1843, 3686
The factors of 3983 are 1, 7, 569, 3983
The HCF of 3686,3983 is 1.
Lets's calculate GCF of 3686,3983
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3686,3983 By Matching Biggest Common Factor Method
Now, list down the factors of 3686
:1,2,19,38,97,194,1843,3686
Now, list down the factors of 3983
:1,7,569,3983
Greatest Common Factor
We found the factors 3686,3983 . The biggest common factor number is the GCF number.
So the greatest common factor 3686,3983 is 1.
Lets's calculate LCM of 182,7240
| 2 | 182, 7240 |
| 91, 3620 |
∴ So the LCM of the given numbers is 2 x 91 x 3620 = 658840
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/658840
Therefore, the GCF of Fractions 3686/182,3983/7240 is 1/658840
Least Common Multiple of 182,7240 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 182,7240 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(182,7240) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(182,7240) x common factors =2 x 1 = 2
LCM(182,7240) = ( 182 × 7240 ) / 2
LCM(182,7240) = 1317680 / 2
LCM(182,7240) = 658840
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FAQs on GCF of Fractions of 3686/182, 3983/7240
1. What is the HCF of 3686,3983?
The HCF of 3686,3983 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 3686/182, 3983/7240?
Answer: GCF of Numerators as per given numbers 3686/182, 3983/7240 is
GCF of Numerators i.e. for 3686,3983 is 1
LCM of denominators i.e. for 182,7240 is 658840.
Thus, GCF of Fractions is 1/658840.Finally, GCF of Fractions for 3686/182, 3983/7240 is 1/658840.