GCF of 2716/500, 5271/7212
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2716/500, 5271/7212 i.e 7/901500 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2716/500, 5271/7212.
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 2716/500,5271/7212?
Given fractions are 2716/500,5271/7212
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 2716/500,5271/7212, numerators are 2716,5271
Denominators are 500,7212
The GCF of 2716,5271 is 7 .
LCM of 500,7212 is 901500.
The greatest common factor of 2716/500,5271/7212 = [GCF of 2716,5271]/[LCM of 500,7212]= 7/901500
Therefore, the GCF of 2716/500,5271/7212 is 7/901500.
To find the highest common factor of 2716,5271, we have to find the factors of both numbers and list the highest common factor.
The factors of 2716 are 1, 2, 4, 7, 14, 28, 97, 194, 388, 679, 1358, 2716
The factors of 5271 are 1, 3, 7, 21, 251, 753, 1757, 5271
The HCF of 2716,5271 is 7.
Lets's calculate GCF of 2716,5271
| 7 | 2716, 5271 |
| 388, 753 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 2716,5271 By Matching Biggest Common Factor Method
Now, list down the factors of 2716
:1,2,4,7,14,28,97,194,388,679,1358,2716
Now, list down the factors of 5271
:1,3,7,21,251,753,1757,5271
Greatest Common Factor
We found the factors 2716,5271 . The biggest common factor number is the GCF number.
So the greatest common factor 2716,5271 is 7.
Lets's calculate LCM of 500,7212
| 2 | 500, 7212 |
| 2 | 250, 3606 |
| 125, 1803 |
∴ So the LCM of the given numbers is 2 x 2 x 125 x 1803 = 901500
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/901500
Therefore, the GCF of Fractions 2716/500,5271/7212 is 7/901500
Least Common Multiple of 500,7212 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 500,7212 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(500,7212) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(500,7212) x common factors =4 x 1 = 4
LCM(500,7212) = ( 500 × 7212 ) / 4
LCM(500,7212) = 3606000 / 4
LCM(500,7212) = 901500
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FAQs on GCF of Fractions of 2716/500, 5271/7212
1. What is the HCF of 2716,5271?
The HCF of 2716,5271 is 7
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 2716/500, 5271/7212?
Answer: GCF of Numerators as per given numbers 2716/500, 5271/7212 is
GCF of Numerators i.e. for 2716,5271 is 7
LCM of denominators i.e. for 500,7212 is 901500.
Thus, GCF of Fractions is 7/901500.Finally, GCF of Fractions for 2716/500, 5271/7212 is 7/901500.