GCF of 756/53, 180/5399
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 756/53, 180/5399 i.e 36/286147 easily. The following is the detailed procedure to determine the greatest common factor of fractions 756/53, 180/5399.
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 756/53,180/5399?
Given fractions are 756/53,180/5399
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 756/53,180/5399, numerators are 756,180
Denominators are 53,5399
The GCF of 756,180 is 36 .
LCM of 53,5399 is 286147.
The greatest common factor of 756/53,180/5399 = [GCF of 756,180]/[LCM of 53,5399]= 36/286147
Therefore, the GCF of 756/53,180/5399 is 36/286147.
To find the highest common factor of 756,180, we have to find the factors of both numbers and list the highest common factor.
The factors of 756 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
The factors of 180 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
The HCF of 756,180 is 36.
Lets's calculate GCF of 756,180
| 2 | 756, 180 |
| 2 | 378, 90 |
| 3 | 189, 45 |
| 3 | 63, 15 |
| 21, 5 |
∴ So the GCF of the given numbers is 2 x 2 x 3 x 3 = 36
Greatest Common Factor of 756,180 By Matching Biggest Common Factor Method
Now, list down the factors of 756
:1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756
Now, list down the factors of 180
:1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,60,90,180
Greatest Common Factor
We found the factors 756,180 . The biggest common factor number is the GCF number.
So the greatest common factor 756,180 is 36.
Lets's calculate LCM of 53,5399
Given numbers has no common factors except 1. So, there LCM is their product i.e 286147
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 36/286147
Therefore, the GCF of Fractions 756/53,180/5399 is 36/286147
Least Common Multiple of 53,5399 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 53,5399 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(53,5399) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(53,5399) x common factors =1 x 1 = 1
LCM(53,5399) = ( 53 × 5399 ) / 1
LCM(53,5399) = 286147 / 1
LCM(53,5399) = 286147
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FAQs on GCF of Fractions of 756/53, 180/5399
1. What is the HCF of 756,180?
The HCF of 756,180 is 36
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 756/53, 180/5399?
Answer: GCF of Numerators as per given numbers 756/53, 180/5399 is
GCF of Numerators i.e. for 756,180 is 36
LCM of denominators i.e. for 53,5399 is 286147.
Thus, GCF of Fractions is 36/286147.Finally, GCF of Fractions for 756/53, 180/5399 is 36/286147.