GCF of 3182/753, 5439/2208
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3182/753, 5439/2208 i.e 37/554208 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3182/753, 5439/2208.
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 3182/753,5439/2208?
Given fractions are 3182/753,5439/2208
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 3182/753,5439/2208, numerators are 3182,5439
Denominators are 753,2208
The GCF of 3182,5439 is 37 .
LCM of 753,2208 is 554208.
The greatest common factor of 3182/753,5439/2208 = [GCF of 3182,5439]/[LCM of 753,2208]= 37/554208
Therefore, the GCF of 3182/753,5439/2208 is 37/554208.
To find the highest common factor of 3182,5439, we have to find the factors of both numbers and list the highest common factor.
The factors of 3182 are 1, 2, 37, 43, 74, 86, 1591, 3182
The factors of 5439 are 1, 3, 7, 21, 37, 49, 111, 147, 259, 777, 1813, 5439
The HCF of 3182,5439 is 37.
Lets's calculate GCF of 3182,5439
| 37 | 3182, 5439 |
| 86, 147 |
∴ So the GCF of the given numbers is 37 = 37
Greatest Common Factor of 3182,5439 By Matching Biggest Common Factor Method
Now, list down the factors of 3182
:1,2,37,43,74,86,1591,3182
Now, list down the factors of 5439
:1,3,7,21,37,49,111,147,259,777,1813,5439
Greatest Common Factor
We found the factors 3182,5439 . The biggest common factor number is the GCF number.
So the greatest common factor 3182,5439 is 37.
Lets's calculate LCM of 753,2208
| 3 | 753, 2208 |
| 251, 736 |
∴ So the LCM of the given numbers is 3 x 251 x 736 = 554208
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 37/554208
Therefore, the GCF of Fractions 3182/753,5439/2208 is 37/554208
Least Common Multiple of 753,2208 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 753,2208 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(753,2208) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(753,2208) x common factors =3 x 1 = 3
LCM(753,2208) = ( 753 × 2208 ) / 3
LCM(753,2208) = 1662624 / 3
LCM(753,2208) = 554208
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FAQs on GCF of Fractions of 3182/753, 5439/2208
1. What is the HCF of 3182,5439?
The HCF of 3182,5439 is 37
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 3182/753, 5439/2208?
Answer: GCF of Numerators as per given numbers 3182/753, 5439/2208 is
GCF of Numerators i.e. for 3182,5439 is 37
LCM of denominators i.e. for 753,2208 is 554208.
Thus, GCF of Fractions is 37/554208.Finally, GCF of Fractions for 3182/753, 5439/2208 is 37/554208.