GCF of 256/24, 974/151
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 256/24, 974/151 i.e 2/3624 easily. The following is the detailed procedure to determine the greatest common factor of fractions 256/24, 974/151.
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 256/24,974/151?
Given fractions are 256/24,974/151
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 256/24,974/151, numerators are 256,974
Denominators are 24,151
The GCF of 256,974 is 2 .
LCM of 24,151 is 3624.
The greatest common factor of 256/24,974/151 = [GCF of 256,974]/[LCM of 24,151]= 2/3624
Therefore, the GCF of 256/24,974/151 is 2/3624.
To find the highest common factor of 256,974, we have to find the factors of both numbers and list the highest common factor.
The factors of 256 are 1, 2, 4, 8, 16, 32, 64, 128, 256
The factors of 974 are 1, 2, 487, 974
The HCF of 256,974 is 2.
Lets's calculate GCF of 256,974
| 2 | 256, 974 |
| 128, 487 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 256,974 By Matching Biggest Common Factor Method
Now, list down the factors of 256
:1,2,4,8,16,32,64,128,256
Now, list down the factors of 974
:1,2,487,974
Greatest Common Factor
We found the factors 256,974 . The biggest common factor number is the GCF number.
So the greatest common factor 256,974 is 2.
Lets's calculate LCM of 24,151
Given numbers has no common factors except 1. So, there LCM is their product i.e 3624
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3624
Therefore, the GCF of Fractions 256/24,974/151 is 2/3624
Least Common Multiple of 24,151 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 24,151 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(24,151) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(24,151) x common factors =1 x 1 = 1
LCM(24,151) = ( 24 × 151 ) / 1
LCM(24,151) = 3624 / 1
LCM(24,151) = 3624
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FAQs on GCF of Fractions of 256/24, 974/151
1. What is the HCF of 256,974?
The HCF of 256,974 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 256/24, 974/151?
Answer: GCF of Numerators as per given numbers 256/24, 974/151 is
GCF of Numerators i.e. for 256,974 is 2
LCM of denominators i.e. for 24,151 is 3624.
Thus, GCF of Fractions is 2/3624.Finally, GCF of Fractions for 256/24, 974/151 is 2/3624.