GCF of 716/11, 958/247
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 716/11, 958/247 i.e 2/2717 easily. The following is the detailed procedure to determine the greatest common factor of fractions 716/11, 958/247.
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 716/11,958/247?
Given fractions are 716/11,958/247
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 716/11,958/247, numerators are 716,958
Denominators are 11,247
The GCF of 716,958 is 2 .
LCM of 11,247 is 2717.
The greatest common factor of 716/11,958/247 = [GCF of 716,958]/[LCM of 11,247]= 2/2717
Therefore, the GCF of 716/11,958/247 is 2/2717.
To find the highest common factor of 716,958, we have to find the factors of both numbers and list the highest common factor.
The factors of 716 are 1, 2, 4, 179, 358, 716
The factors of 958 are 1, 2, 479, 958
The HCF of 716,958 is 2.
Lets's calculate GCF of 716,958
| 2 | 716, 958 |
| 358, 479 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 716,958 By Matching Biggest Common Factor Method
Now, list down the factors of 716
:1,2,4,179,358,716
Now, list down the factors of 958
:1,2,479,958
Greatest Common Factor
We found the factors 716,958 . The biggest common factor number is the GCF number.
So the greatest common factor 716,958 is 2.
Lets's calculate LCM of 11,247
Given numbers has no common factors except 1. So, there LCM is their product i.e 2717
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2717
Therefore, the GCF of Fractions 716/11,958/247 is 2/2717
Least Common Multiple of 11,247 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 11,247 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(11,247) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(11,247) x common factors =1 x 1 = 1
LCM(11,247) = ( 11 × 247 ) / 1
LCM(11,247) = 2717 / 1
LCM(11,247) = 2717
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FAQs on GCF of Fractions of 716/11, 958/247
1. What is the HCF of 716,958?
The HCF of 716,958 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 716/11, 958/247?
Answer: GCF of Numerators as per given numbers 716/11, 958/247 is
GCF of Numerators i.e. for 716,958 is 2
LCM of denominators i.e. for 11,247 is 2717.
Thus, GCF of Fractions is 2/2717.Finally, GCF of Fractions for 716/11, 958/247 is 2/2717.