GCF of 152/259, 268/797
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 152/259, 268/797 i.e 4/206423 easily. The following is the detailed procedure to determine the greatest common factor of fractions 152/259, 268/797.
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 152/259,268/797?
Given fractions are 152/259,268/797
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 152/259,268/797, numerators are 152,268
Denominators are 259,797
The GCF of 152,268 is 4 .
LCM of 259,797 is 206423.
The greatest common factor of 152/259,268/797 = [GCF of 152,268]/[LCM of 259,797]= 4/206423
Therefore, the GCF of 152/259,268/797 is 4/206423.
To find the highest common factor of 152,268, 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 268 are 1, 2, 4, 67, 134, 268
The HCF of 152,268 is 4.
Lets's calculate GCF of 152,268
| 2 | 152, 268 |
| 2 | 76, 134 |
| 38, 67 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 152,268 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 268
:1,2,4,67,134,268
Greatest Common Factor
We found the factors 152,268 . The biggest common factor number is the GCF number.
So the greatest common factor 152,268 is 4.
Lets's calculate LCM of 259,797
Given numbers has no common factors except 1. So, there LCM is their product i.e 206423
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/206423
Therefore, the GCF of Fractions 152/259,268/797 is 4/206423
Least Common Multiple of 259,797 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 259,797 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(259,797) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(259,797) x common factors =1 x 1 = 1
LCM(259,797) = ( 259 × 797 ) / 1
LCM(259,797) = 206423 / 1
LCM(259,797) = 206423
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FAQs on GCF of Fractions of 152/259, 268/797
1. What is the HCF of 152,268?
The HCF of 152,268 is 4
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 152/259, 268/797?
Answer: GCF of Numerators as per given numbers 152/259, 268/797 is
GCF of Numerators i.e. for 152,268 is 4
LCM of denominators i.e. for 259,797 is 206423.
Thus, GCF of Fractions is 4/206423.Finally, GCF of Fractions for 152/259, 268/797 is 4/206423.