GCF of 29/16, 920/35, 159/236
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 29/16, 920/35, 159/236 i.e 1/33040 easily. The following is the detailed procedure to determine the greatest common factor of fractions 29/16, 920/35, 159/236.
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 29/16,920/35,159/236?
Given fractions are 29/16,920/35,159/236
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 29/16,920/35,159/236, numerators are 29,920,159
Denominators are 16,35,236
The GCF of 29,920,159 is 1 .
LCM of 16,35,236 is 33040.
The greatest common factor of 29/16,920/35,159/236 = [GCF of 29,920,159]/[LCM of 16,35,236]= 1/33040
Therefore, the GCF of 29/16,920/35,159/236 is 1/33040.
To find the highest common factor of 29,920,159, we have to find the factors of both numbers and list the highest common factor.
The factors of 29 are 1, 29
The factors of 920 are 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
The factors of 159 are 1, 3, 53, 159
The HCF of 29,920,159 is 1.
Lets's calculate GCF of 29,920,159
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 29,920,159 By Matching Biggest Common Factor Method
Now, list down the factors of 29
:1,29
Now, list down the factors of 920
:1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920
Now, list down the factors of 159
:1,3,53,159
Greatest Common Factor
We found the factors 29,920,159 . The biggest common factor number is the GCF number.
So the greatest common factor 29,920,159 is 1.
Lets's calculate LCM of 16,35,236
| 2 | 16, 35, 236 |
| 2 | 8, 35, 118 |
| 4, 35, 59 |
∴ So the LCM of the given numbers is 2 x 2 x 4 x 35 x 59 = 33040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/33040
Therefore, the GCF of Fractions 29/16,920/35,159/236 is 1/33040
Least Common Multiple of 16,35,236 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 16,35,236 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(16,35,236) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(16,35,236) x common factors =1 x 4 = 4
LCM(16,35,236) = ( 16 × 35 × 236 ) / 4
LCM(16,35,236) = 132160 / 4
LCM(16,35,236) = 33040
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FAQs on GCF of Fractions of 29/16, 920/35, 159/236
1. What is the HCF of 29,920,159?
The HCF of 29,920,159 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 29/16, 920/35, 159/236?
Answer: GCF of Numerators as per given numbers 29/16, 920/35, 159/236 is
GCF of Numerators i.e. for 29,920,159 is 1
LCM of denominators i.e. for 16,35,236 is 33040.
Thus, GCF of Fractions is 1/33040.Finally, GCF of Fractions for 29/16, 920/35, 159/236 is 1/33040.