GCF of 5632/315, 5943/225
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5632/315, 5943/225 i.e 1/1575 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5632/315, 5943/225.
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 5632/315,5943/225?
Given fractions are 5632/315,5943/225
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 5632/315,5943/225, numerators are 5632,5943
Denominators are 315,225
The GCF of 5632,5943 is 1 .
LCM of 315,225 is 1575.
The greatest common factor of 5632/315,5943/225 = [GCF of 5632,5943]/[LCM of 315,225]= 1/1575
Therefore, the GCF of 5632/315,5943/225 is 1/1575.
To find the highest common factor of 5632,5943, we have to find the factors of both numbers and list the highest common factor.
The factors of 5632 are 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 128, 176, 256, 352, 512, 704, 1408, 2816, 5632
The factors of 5943 are 1, 3, 7, 21, 283, 849, 1981, 5943
The HCF of 5632,5943 is 1.
Lets's calculate GCF of 5632,5943
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5632,5943 By Matching Biggest Common Factor Method
Now, list down the factors of 5632
:1,2,4,8,11,16,22,32,44,64,88,128,176,256,352,512,704,1408,2816,5632
Now, list down the factors of 5943
:1,3,7,21,283,849,1981,5943
Greatest Common Factor
We found the factors 5632,5943 . The biggest common factor number is the GCF number.
So the greatest common factor 5632,5943 is 1.
Lets's calculate LCM of 315,225
| 3 | 315, 225 |
| 3 | 105, 75 |
| 5 | 35, 25 |
| 7, 5 |
∴ So the LCM of the given numbers is 3 x 3 x 5 x 7 x 5 = 1575
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1575
Therefore, the GCF of Fractions 5632/315,5943/225 is 1/1575
Least Common Multiple of 315,225 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 315,225 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(315,225) = 45
common factors(in case of two or more numbers have common factors) = 1
GCF(315,225) x common factors =45 x 1 = 45
LCM(315,225) = ( 315 × 225 ) / 45
LCM(315,225) = 70875 / 45
LCM(315,225) = 1575
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FAQs on GCF of Fractions of 5632/315, 5943/225
1. What is the HCF of 5632,5943?
The HCF of 5632,5943 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 5632/315, 5943/225?
Answer: GCF of Numerators as per given numbers 5632/315, 5943/225 is
GCF of Numerators i.e. for 5632,5943 is 1
LCM of denominators i.e. for 315,225 is 1575.
Thus, GCF of Fractions is 1/1575.Finally, GCF of Fractions for 5632/315, 5943/225 is 1/1575.