GCF of 994/69, 342/25, 116/71
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 994/69, 342/25, 116/71 i.e 2/122475 easily. The following is the detailed procedure to determine the greatest common factor of fractions 994/69, 342/25, 116/71.
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 994/69,342/25,116/71?
Given fractions are 994/69,342/25,116/71
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 994/69,342/25,116/71, numerators are 994,342,116
Denominators are 69,25,71
The GCF of 994,342,116 is 2 .
LCM of 69,25,71 is 122475.
The greatest common factor of 994/69,342/25,116/71 = [GCF of 994,342,116]/[LCM of 69,25,71]= 2/122475
Therefore, the GCF of 994/69,342/25,116/71 is 2/122475.
To find the highest common factor of 994,342,116, we have to find the factors of both numbers and list the highest common factor.
The factors of 994 are 1, 2, 7, 14, 71, 142, 497, 994
The factors of 342 are 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
The factors of 116 are 1, 2, 4, 29, 58, 116
The HCF of 994,342,116 is 2.
Lets's calculate GCF of 994,342,116
| 2 | 994, 342, 116 |
| 497, 171, 58 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 994,342,116 By Matching Biggest Common Factor Method
Now, list down the factors of 994
:1,2,7,14,71,142,497,994
Now, list down the factors of 342
:1,2,3,6,9,18,19,38,57,114,171,342
Now, list down the factors of 116
:1,2,4,29,58,116
Greatest Common Factor
We found the factors 994,342,116 . The biggest common factor number is the GCF number.
So the greatest common factor 994,342,116 is 2.
Lets's calculate LCM of 69,25,71
Given numbers has no common factors except 1. So, there LCM is their product i.e 122475
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/122475
Therefore, the GCF of Fractions 994/69,342/25,116/71 is 2/122475
Least Common Multiple of 69,25,71 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 69,25,71 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(69,25,71) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(69,25,71) x common factors =1 x 1 = 1
LCM(69,25,71) = ( 69 × 25 × 71 ) / 1
LCM(69,25,71) = 122475 / 1
LCM(69,25,71) = 122475
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FAQs on GCF of Fractions of 994/69, 342/25, 116/71
1. What is the HCF of 994,342,116?
The HCF of 994,342,116 is 2
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 994/69, 342/25, 116/71?
Answer: GCF of Numerators as per given numbers 994/69, 342/25, 116/71 is
GCF of Numerators i.e. for 994,342,116 is 2
LCM of denominators i.e. for 69,25,71 is 122475.
Thus, GCF of Fractions is 2/122475.Finally, GCF of Fractions for 994/69, 342/25, 116/71 is 2/122475.