GCF of 178/312, 8708/388
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 178/312, 8708/388 i.e 2/30264 easily. The following is the detailed procedure to determine the greatest common factor of fractions 178/312, 8708/388.
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 178/312,8708/388?
Given fractions are 178/312,8708/388
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 178/312,8708/388, numerators are 178,8708
Denominators are 312,388
The GCF of 178,8708 is 2 .
LCM of 312,388 is 30264.
The greatest common factor of 178/312,8708/388 = [GCF of 178,8708]/[LCM of 312,388]= 2/30264
Therefore, the GCF of 178/312,8708/388 is 2/30264.
To find the highest common factor of 178,8708, we have to find the factors of both numbers and list the highest common factor.
The factors of 178 are 1, 2, 89, 178
The factors of 8708 are 1, 2, 4, 7, 14, 28, 311, 622, 1244, 2177, 4354, 8708
The HCF of 178,8708 is 2.
Lets's calculate GCF of 178,8708
| 2 | 178, 8708 |
| 89, 4354 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 178,8708 By Matching Biggest Common Factor Method
Now, list down the factors of 178
:1,2,89,178
Now, list down the factors of 8708
:1,2,4,7,14,28,311,622,1244,2177,4354,8708
Greatest Common Factor
We found the factors 178,8708 . The biggest common factor number is the GCF number.
So the greatest common factor 178,8708 is 2.
Lets's calculate LCM of 312,388
| 2 | 312, 388 |
| 2 | 156, 194 |
| 78, 97 |
∴ So the LCM of the given numbers is 2 x 2 x 78 x 97 = 30264
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/30264
Therefore, the GCF of Fractions 178/312,8708/388 is 2/30264
Least Common Multiple of 312,388 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 312,388 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(312,388) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(312,388) x common factors =4 x 1 = 4
LCM(312,388) = ( 312 × 388 ) / 4
LCM(312,388) = 121056 / 4
LCM(312,388) = 30264
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FAQs on GCF of Fractions of 178/312, 8708/388
1. What is the HCF of 178,8708?
The HCF of 178,8708 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 178/312, 8708/388?
Answer: GCF of Numerators as per given numbers 178/312, 8708/388 is
GCF of Numerators i.e. for 178,8708 is 2
LCM of denominators i.e. for 312,388 is 30264.
Thus, GCF of Fractions is 2/30264.Finally, GCF of Fractions for 178/312, 8708/388 is 2/30264.