GCF of 29/62, 343/88, 942/178
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 29/62, 343/88, 942/178 i.e 1/242792 easily. The following is the detailed procedure to determine the greatest common factor of fractions 29/62, 343/88, 942/178.
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 29/62,343/88,942/178?
Given fractions are 29/62,343/88,942/178
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 29/62,343/88,942/178, numerators are 29,343,942
Denominators are 62,88,178
The GCF of 29,343,942 is 1 .
LCM of 62,88,178 is 242792.
The greatest common factor of 29/62,343/88,942/178 = [GCF of 29,343,942]/[LCM of 62,88,178]= 1/242792
Therefore, the GCF of 29/62,343/88,942/178 is 1/242792.
To find the highest common factor of 29,343,942, 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 343 are 1, 7, 49, 343
The factors of 942 are 1, 2, 3, 6, 157, 314, 471, 942
The HCF of 29,343,942 is 1.
Lets's calculate GCF of 29,343,942
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 29,343,942 By Matching Biggest Common Factor Method
Now, list down the factors of 29
:1,29
Now, list down the factors of 343
:1,7,49,343
Now, list down the factors of 942
:1,2,3,6,157,314,471,942
Greatest Common Factor
We found the factors 29,343,942 . The biggest common factor number is the GCF number.
So the greatest common factor 29,343,942 is 1.
Lets's calculate LCM of 62,88,178
| 2 | 62, 88, 178 |
| 31, 44, 89 |
∴ So the LCM of the given numbers is 2 x 31 x 44 x 89 = 242792
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/242792
Therefore, the GCF of Fractions 29/62,343/88,942/178 is 1/242792
Least Common Multiple of 62,88,178 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 62,88,178 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,88,178) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(62,88,178) x common factors =2 x 2 = 4
LCM(62,88,178) = ( 62 × 88 × 178 ) / 4
LCM(62,88,178) = 971168 / 4
LCM(62,88,178) = 242792
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FAQs on GCF of Fractions of 29/62, 343/88, 942/178
1. What is the HCF of 29,343,942?
The HCF of 29,343,942 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 29/62, 343/88, 942/178?
Answer: GCF of Numerators as per given numbers 29/62, 343/88, 942/178 is
GCF of Numerators i.e. for 29,343,942 is 1
LCM of denominators i.e. for 62,88,178 is 242792.
Thus, GCF of Fractions is 1/242792.Finally, GCF of Fractions for 29/62, 343/88, 942/178 is 1/242792.