GCF of 152/76, 311/4174
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 152/76, 311/4174 i.e 1/158612 easily. The following is the detailed procedure to determine the greatest common factor of fractions 152/76, 311/4174.
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 152/76,311/4174?
Given fractions are 152/76,311/4174
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 152/76,311/4174, numerators are 152,311
Denominators are 76,4174
The GCF of 152,311 is 1 .
LCM of 76,4174 is 158612.
The greatest common factor of 152/76,311/4174 = [GCF of 152,311]/[LCM of 76,4174]= 1/158612
Therefore, the GCF of 152/76,311/4174 is 1/158612.
To find the highest common factor of 152,311, we have to find the factors of both numbers and list the highest common factor.
The factors of 152 are 1, 2, 4, 8, 19, 38, 76, 152
The factors of 311 are 1, 311
The HCF of 152,311 is 1.
Lets's calculate GCF of 152,311
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 152,311 By Matching Biggest Common Factor Method
Now, list down the factors of 152
:1,2,4,8,19,38,76,152
Now, list down the factors of 311
:1,311
Greatest Common Factor
We found the factors 152,311 . The biggest common factor number is the GCF number.
So the greatest common factor 152,311 is 1.
Lets's calculate LCM of 76,4174
| 2 | 76, 4174 |
| 38, 2087 |
∴ So the LCM of the given numbers is 2 x 38 x 2087 = 158612
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/158612
Therefore, the GCF of Fractions 152/76,311/4174 is 1/158612
Least Common Multiple of 76,4174 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 76,4174 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(76,4174) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(76,4174) x common factors =2 x 1 = 2
LCM(76,4174) = ( 76 × 4174 ) / 2
LCM(76,4174) = 317224 / 2
LCM(76,4174) = 158612
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FAQs on GCF of Fractions of 152/76, 311/4174
1. What is the HCF of 152,311?
The HCF of 152,311 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 152/76, 311/4174?
Answer: GCF of Numerators as per given numbers 152/76, 311/4174 is
GCF of Numerators i.e. for 152,311 is 1
LCM of denominators i.e. for 76,4174 is 158612.
Thus, GCF of Fractions is 1/158612.Finally, GCF of Fractions for 152/76, 311/4174 is 1/158612.