GCF of 3256/153, 4756/8100
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3256/153, 4756/8100 i.e 4/137700 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3256/153, 4756/8100.
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 3256/153,4756/8100?
Given fractions are 3256/153,4756/8100
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 3256/153,4756/8100, numerators are 3256,4756
Denominators are 153,8100
The GCF of 3256,4756 is 4 .
LCM of 153,8100 is 137700.
The greatest common factor of 3256/153,4756/8100 = [GCF of 3256,4756]/[LCM of 153,8100]= 4/137700
Therefore, the GCF of 3256/153,4756/8100 is 4/137700.
To find the highest common factor of 3256,4756, we have to find the factors of both numbers and list the highest common factor.
The factors of 3256 are 1, 2, 4, 8, 11, 22, 37, 44, 74, 88, 148, 296, 407, 814, 1628, 3256
The factors of 4756 are 1, 2, 4, 29, 41, 58, 82, 116, 164, 1189, 2378, 4756
The HCF of 3256,4756 is 4.
Lets's calculate GCF of 3256,4756
| 2 | 3256, 4756 |
| 2 | 1628, 2378 |
| 814, 1189 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 3256,4756 By Matching Biggest Common Factor Method
Now, list down the factors of 3256
:1,2,4,8,11,22,37,44,74,88,148,296,407,814,1628,3256
Now, list down the factors of 4756
:1,2,4,29,41,58,82,116,164,1189,2378,4756
Greatest Common Factor
We found the factors 3256,4756 . The biggest common factor number is the GCF number.
So the greatest common factor 3256,4756 is 4.
Lets's calculate LCM of 153,8100
| 3 | 153, 8100 |
| 3 | 51, 2700 |
| 17, 900 |
∴ So the LCM of the given numbers is 3 x 3 x 17 x 900 = 137700
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/137700
Therefore, the GCF of Fractions 3256/153,4756/8100 is 4/137700
Least Common Multiple of 153,8100 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 153,8100 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(153,8100) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(153,8100) x common factors =9 x 1 = 9
LCM(153,8100) = ( 153 × 8100 ) / 9
LCM(153,8100) = 1239300 / 9
LCM(153,8100) = 137700
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FAQs on GCF of Fractions of 3256/153, 4756/8100
1. What is the HCF of 3256,4756?
The HCF of 3256,4756 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 3256/153, 4756/8100?
Answer: GCF of Numerators as per given numbers 3256/153, 4756/8100 is
GCF of Numerators i.e. for 3256,4756 is 4
LCM of denominators i.e. for 153,8100 is 137700.
Thus, GCF of Fractions is 4/137700.Finally, GCF of Fractions for 3256/153, 4756/8100 is 4/137700.