GCF of 844/178, 142/128, 416/613
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 844/178, 142/128, 416/613 i.e 2/6983296 easily. The following is the detailed procedure to determine the greatest common factor of fractions 844/178, 142/128, 416/613.
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 844/178,142/128,416/613?
Given fractions are 844/178,142/128,416/613
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 844/178,142/128,416/613, numerators are 844,142,416
Denominators are 178,128,613
The GCF of 844,142,416 is 2 .
LCM of 178,128,613 is 6983296.
The greatest common factor of 844/178,142/128,416/613 = [GCF of 844,142,416]/[LCM of 178,128,613]= 2/6983296
Therefore, the GCF of 844/178,142/128,416/613 is 2/6983296.
To find the highest common factor of 844,142,416, we have to find the factors of both numbers and list the highest common factor.
The factors of 844 are 1, 2, 4, 211, 422, 844
The factors of 142 are 1, 2, 71, 142
The factors of 416 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
The HCF of 844,142,416 is 2.
Lets's calculate GCF of 844,142,416
| 2 | 844, 142, 416 |
| 422, 71, 208 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 844,142,416 By Matching Biggest Common Factor Method
Now, list down the factors of 844
:1,2,4,211,422,844
Now, list down the factors of 142
:1,2,71,142
Now, list down the factors of 416
:1,2,4,8,13,16,26,32,52,104,208,416
Greatest Common Factor
We found the factors 844,142,416 . The biggest common factor number is the GCF number.
So the greatest common factor 844,142,416 is 2.
Lets's calculate LCM of 178,128,613
| 2 | 178, 128, 613 |
| 89, 64, 613 |
∴ So the LCM of the given numbers is 2 x 89 x 64 x 613 = 6983296
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6983296
Therefore, the GCF of Fractions 844/178,142/128,416/613 is 2/6983296
Least Common Multiple of 178,128,613 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 178,128,613 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(178,128,613) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(178,128,613) x common factors =1 x 2 = 2
LCM(178,128,613) = ( 178 × 128 × 613 ) / 2
LCM(178,128,613) = 13966592 / 2
LCM(178,128,613) = 6983296
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FAQs on GCF of Fractions of 844/178, 142/128, 416/613
1. What is the HCF of 844,142,416?
The HCF of 844,142,416 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 844/178, 142/128, 416/613?
Answer: GCF of Numerators as per given numbers 844/178, 142/128, 416/613 is
GCF of Numerators i.e. for 844,142,416 is 2
LCM of denominators i.e. for 178,128,613 is 6983296.
Thus, GCF of Fractions is 2/6983296.Finally, GCF of Fractions for 844/178, 142/128, 416/613 is 2/6983296.