GCF of 5349/409, 1482/3118
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5349/409, 1482/3118 i.e 3/1275262 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5349/409, 1482/3118.
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 5349/409,1482/3118?
Given fractions are 5349/409,1482/3118
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 5349/409,1482/3118, numerators are 5349,1482
Denominators are 409,3118
The GCF of 5349,1482 is 3 .
LCM of 409,3118 is 1275262.
The greatest common factor of 5349/409,1482/3118 = [GCF of 5349,1482]/[LCM of 409,3118]= 3/1275262
Therefore, the GCF of 5349/409,1482/3118 is 3/1275262.
To find the highest common factor of 5349,1482, we have to find the factors of both numbers and list the highest common factor.
The factors of 5349 are 1, 3, 1783, 5349
The factors of 1482 are 1, 2, 3, 6, 13, 19, 26, 38, 39, 57, 78, 114, 247, 494, 741, 1482
The HCF of 5349,1482 is 3.
Lets's calculate GCF of 5349,1482
| 3 | 5349, 1482 |
| 1783, 494 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5349,1482 By Matching Biggest Common Factor Method
Now, list down the factors of 5349
:1,3,1783,5349
Now, list down the factors of 1482
:1,2,3,6,13,19,26,38,39,57,78,114,247,494,741,1482
Greatest Common Factor
We found the factors 5349,1482 . The biggest common factor number is the GCF number.
So the greatest common factor 5349,1482 is 3.
Lets's calculate LCM of 409,3118
Given numbers has no common factors except 1. So, there LCM is their product i.e 1275262
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1275262
Therefore, the GCF of Fractions 5349/409,1482/3118 is 3/1275262
Least Common Multiple of 409,3118 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 409,3118 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(409,3118) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(409,3118) x common factors =1 x 1 = 1
LCM(409,3118) = ( 409 × 3118 ) / 1
LCM(409,3118) = 1275262 / 1
LCM(409,3118) = 1275262
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FAQs on GCF of Fractions of 5349/409, 1482/3118
1. What is the HCF of 5349,1482?
The HCF of 5349,1482 is 3
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 5349/409, 1482/3118?
Answer: GCF of Numerators as per given numbers 5349/409, 1482/3118 is
GCF of Numerators i.e. for 5349,1482 is 3
LCM of denominators i.e. for 409,3118 is 1275262.
Thus, GCF of Fractions is 3/1275262.Finally, GCF of Fractions for 5349/409, 1482/3118 is 3/1275262.