GCF of 595/159, 1056/636
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 595/159, 1056/636 i.e 1/636 easily. The following is the detailed procedure to determine the greatest common factor of fractions 595/159, 1056/636.
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 595/159,1056/636?
Given fractions are 595/159,1056/636
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 595/159,1056/636, numerators are 595,1056
Denominators are 159,636
The GCF of 595,1056 is 1 .
LCM of 159,636 is 636.
The greatest common factor of 595/159,1056/636 = [GCF of 595,1056]/[LCM of 159,636]= 1/636
Therefore, the GCF of 595/159,1056/636 is 1/636.
To find the highest common factor of 595,1056, we have to find the factors of both numbers and list the highest common factor.
The factors of 595 are 1, 5, 7, 17, 35, 85, 119, 595
The factors of 1056 are 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 66, 88, 96, 132, 176, 264, 352, 528, 1056
The HCF of 595,1056 is 1.
Lets's calculate GCF of 595,1056
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 595,1056 By Matching Biggest Common Factor Method
Now, list down the factors of 595
:1,5,7,17,35,85,119,595
Now, list down the factors of 1056
:1,2,3,4,6,8,11,12,16,22,24,32,33,44,48,66,88,96,132,176,264,352,528,1056
Greatest Common Factor
We found the factors 595,1056 . The biggest common factor number is the GCF number.
So the greatest common factor 595,1056 is 1.
Lets's calculate LCM of 159,636
| 3 | 159, 636 |
| 53 | 53, 212 |
| 1, 4 |
∴ So the LCM of the given numbers is 3 x 53 x 1 x 4 = 636
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/636
Therefore, the GCF of Fractions 595/159,1056/636 is 1/636
Least Common Multiple of 159,636 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 159,636 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(159,636) = 159
common factors(in case of two or more numbers have common factors) = 1
GCF(159,636) x common factors =159 x 1 = 159
LCM(159,636) = ( 159 × 636 ) / 159
LCM(159,636) = 101124 / 159
LCM(159,636) = 636
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FAQs on GCF of Fractions of 595/159, 1056/636
1. What is the HCF of 595,1056?
The HCF of 595,1056 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 595/159, 1056/636?
Answer: GCF of Numerators as per given numbers 595/159, 1056/636 is
GCF of Numerators i.e. for 595,1056 is 1
LCM of denominators i.e. for 159,636 is 636.
Thus, GCF of Fractions is 1/636.Finally, GCF of Fractions for 595/159, 1056/636 is 1/636.