GCF of 616/76, 168/353
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 616/76, 168/353 i.e 56/26828 easily. The following is the detailed procedure to determine the greatest common factor of fractions 616/76, 168/353.
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 616/76,168/353?
Given fractions are 616/76,168/353
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 616/76,168/353, numerators are 616,168
Denominators are 76,353
The GCF of 616,168 is 56 .
LCM of 76,353 is 26828.
The greatest common factor of 616/76,168/353 = [GCF of 616,168]/[LCM of 76,353]= 56/26828
Therefore, the GCF of 616/76,168/353 is 56/26828.
To find the highest common factor of 616,168, we have to find the factors of both numbers and list the highest common factor.
The factors of 616 are 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
The factors of 168 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
The HCF of 616,168 is 56.
Lets's calculate GCF of 616,168
| 2 | 616, 168 |
| 2 | 308, 84 |
| 2 | 154, 42 |
| 7 | 77, 21 |
| 11, 3 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 7 = 56
Greatest Common Factor of 616,168 By Matching Biggest Common Factor Method
Now, list down the factors of 616
:1,2,4,7,8,11,14,22,28,44,56,77,88,154,308,616
Now, list down the factors of 168
:1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168
Greatest Common Factor
We found the factors 616,168 . The biggest common factor number is the GCF number.
So the greatest common factor 616,168 is 56.
Lets's calculate LCM of 76,353
Given numbers has no common factors except 1. So, there LCM is their product i.e 26828
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 56/26828
Therefore, the GCF of Fractions 616/76,168/353 is 56/26828
Least Common Multiple of 76,353 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 76,353 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(76,353) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(76,353) x common factors =1 x 1 = 1
LCM(76,353) = ( 76 × 353 ) / 1
LCM(76,353) = 26828 / 1
LCM(76,353) = 26828
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FAQs on GCF of Fractions of 616/76, 168/353
1. What is the HCF of 616,168?
The HCF of 616,168 is 56
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 616/76, 168/353?
Answer: GCF of Numerators as per given numbers 616/76, 168/353 is
GCF of Numerators i.e. for 616,168 is 56
LCM of denominators i.e. for 76,353 is 26828.
Thus, GCF of Fractions is 56/26828.Finally, GCF of Fractions for 616/76, 168/353 is 56/26828.