GCF of 5752/164, 7026/2071
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5752/164, 7026/2071 i.e 2/339644 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5752/164, 7026/2071.
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 5752/164,7026/2071?
Given fractions are 5752/164,7026/2071
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 5752/164,7026/2071, numerators are 5752,7026
Denominators are 164,2071
The GCF of 5752,7026 is 2 .
LCM of 164,2071 is 339644.
The greatest common factor of 5752/164,7026/2071 = [GCF of 5752,7026]/[LCM of 164,2071]= 2/339644
Therefore, the GCF of 5752/164,7026/2071 is 2/339644.
To find the highest common factor of 5752,7026, we have to find the factors of both numbers and list the highest common factor.
The factors of 5752 are 1, 2, 4, 8, 719, 1438, 2876, 5752
The factors of 7026 are 1, 2, 3, 6, 1171, 2342, 3513, 7026
The HCF of 5752,7026 is 2.
Lets's calculate GCF of 5752,7026
| 2 | 5752, 7026 |
| 2876, 3513 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5752,7026 By Matching Biggest Common Factor Method
Now, list down the factors of 5752
:1,2,4,8,719,1438,2876,5752
Now, list down the factors of 7026
:1,2,3,6,1171,2342,3513,7026
Greatest Common Factor
We found the factors 5752,7026 . The biggest common factor number is the GCF number.
So the greatest common factor 5752,7026 is 2.
Lets's calculate LCM of 164,2071
Given numbers has no common factors except 1. So, there LCM is their product i.e 339644
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/339644
Therefore, the GCF of Fractions 5752/164,7026/2071 is 2/339644
Least Common Multiple of 164,2071 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 164,2071 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(164,2071) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(164,2071) x common factors =1 x 1 = 1
LCM(164,2071) = ( 164 × 2071 ) / 1
LCM(164,2071) = 339644 / 1
LCM(164,2071) = 339644
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FAQs on GCF of Fractions of 5752/164, 7026/2071
1. What is the HCF of 5752,7026?
The HCF of 5752,7026 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 5752/164, 7026/2071?
Answer: GCF of Numerators as per given numbers 5752/164, 7026/2071 is
GCF of Numerators i.e. for 5752,7026 is 2
LCM of denominators i.e. for 164,2071 is 339644.
Thus, GCF of Fractions is 2/339644.Finally, GCF of Fractions for 5752/164, 7026/2071 is 2/339644.