GCF of 5764/852, 8723/7049
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5764/852, 8723/7049 i.e 11/6005748 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5764/852, 8723/7049.
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 5764/852,8723/7049?
Given fractions are 5764/852,8723/7049
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 5764/852,8723/7049, numerators are 5764,8723
Denominators are 852,7049
The GCF of 5764,8723 is 11 .
LCM of 852,7049 is 6005748.
The greatest common factor of 5764/852,8723/7049 = [GCF of 5764,8723]/[LCM of 852,7049]= 11/6005748
Therefore, the GCF of 5764/852,8723/7049 is 11/6005748.
To find the highest common factor of 5764,8723, we have to find the factors of both numbers and list the highest common factor.
The factors of 5764 are 1, 2, 4, 11, 22, 44, 131, 262, 524, 1441, 2882, 5764
The factors of 8723 are 1, 11, 13, 61, 143, 671, 793, 8723
The HCF of 5764,8723 is 11.
Lets's calculate GCF of 5764,8723
| 11 | 5764, 8723 |
| 524, 793 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 5764,8723 By Matching Biggest Common Factor Method
Now, list down the factors of 5764
:1,2,4,11,22,44,131,262,524,1441,2882,5764
Now, list down the factors of 8723
:1,11,13,61,143,671,793,8723
Greatest Common Factor
We found the factors 5764,8723 . The biggest common factor number is the GCF number.
So the greatest common factor 5764,8723 is 11.
Lets's calculate LCM of 852,7049
Given numbers has no common factors except 1. So, there LCM is their product i.e 6005748
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/6005748
Therefore, the GCF of Fractions 5764/852,8723/7049 is 11/6005748
Least Common Multiple of 852,7049 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 852,7049 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(852,7049) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(852,7049) x common factors =1 x 1 = 1
LCM(852,7049) = ( 852 × 7049 ) / 1
LCM(852,7049) = 6005748 / 1
LCM(852,7049) = 6005748
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FAQs on GCF of Fractions of 5764/852, 8723/7049
1. What is the HCF of 5764,8723?
The HCF of 5764,8723 is 11
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 5764/852, 8723/7049?
Answer: GCF of Numerators as per given numbers 5764/852, 8723/7049 is
GCF of Numerators i.e. for 5764,8723 is 11
LCM of denominators i.e. for 852,7049 is 6005748.
Thus, GCF of Fractions is 11/6005748.Finally, GCF of Fractions for 5764/852, 8723/7049 is 11/6005748.