GCF of 2636/231, 7568/7817
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2636/231, 7568/7817 i.e 4/1805727 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2636/231, 7568/7817.
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 2636/231,7568/7817?
Given fractions are 2636/231,7568/7817
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 2636/231,7568/7817, numerators are 2636,7568
Denominators are 231,7817
The GCF of 2636,7568 is 4 .
LCM of 231,7817 is 1805727.
The greatest common factor of 2636/231,7568/7817 = [GCF of 2636,7568]/[LCM of 231,7817]= 4/1805727
Therefore, the GCF of 2636/231,7568/7817 is 4/1805727.
To find the highest common factor of 2636,7568, we have to find the factors of both numbers and list the highest common factor.
The factors of 2636 are 1, 2, 4, 659, 1318, 2636
The factors of 7568 are 1, 2, 4, 8, 11, 16, 22, 43, 44, 86, 88, 172, 176, 344, 473, 688, 946, 1892, 3784, 7568
The HCF of 2636,7568 is 4.
Lets's calculate GCF of 2636,7568
| 2 | 2636, 7568 |
| 2 | 1318, 3784 |
| 659, 1892 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 2636,7568 By Matching Biggest Common Factor Method
Now, list down the factors of 2636
:1,2,4,659,1318,2636
Now, list down the factors of 7568
:1,2,4,8,11,16,22,43,44,86,88,172,176,344,473,688,946,1892,3784,7568
Greatest Common Factor
We found the factors 2636,7568 . The biggest common factor number is the GCF number.
So the greatest common factor 2636,7568 is 4.
Lets's calculate LCM of 231,7817
Given numbers has no common factors except 1. So, there LCM is their product i.e 1805727
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1805727
Therefore, the GCF of Fractions 2636/231,7568/7817 is 4/1805727
Least Common Multiple of 231,7817 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 231,7817 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(231,7817) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(231,7817) x common factors =1 x 1 = 1
LCM(231,7817) = ( 231 × 7817 ) / 1
LCM(231,7817) = 1805727 / 1
LCM(231,7817) = 1805727
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FAQs on GCF of Fractions of 2636/231, 7568/7817
1. What is the HCF of 2636,7568?
The HCF of 2636,7568 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 2636/231, 7568/7817?
Answer: GCF of Numerators as per given numbers 2636/231, 7568/7817 is
GCF of Numerators i.e. for 2636,7568 is 4
LCM of denominators i.e. for 231,7817 is 1805727.
Thus, GCF of Fractions is 4/1805727.Finally, GCF of Fractions for 2636/231, 7568/7817 is 4/1805727.