GCF of 716/756, 9400/7819
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 716/756, 9400/7819 i.e 4/844452 easily. The following is the detailed procedure to determine the greatest common factor of fractions 716/756, 9400/7819.
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 716/756,9400/7819?
Given fractions are 716/756,9400/7819
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 716/756,9400/7819, numerators are 716,9400
Denominators are 756,7819
The GCF of 716,9400 is 4 .
LCM of 756,7819 is 844452.
The greatest common factor of 716/756,9400/7819 = [GCF of 716,9400]/[LCM of 756,7819]= 4/844452
Therefore, the GCF of 716/756,9400/7819 is 4/844452.
To find the highest common factor of 716,9400, 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 9400 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 47, 50, 94, 100, 188, 200, 235, 376, 470, 940, 1175, 1880, 2350, 4700, 9400
The HCF of 716,9400 is 4.
Lets's calculate GCF of 716,9400
| 2 | 716, 9400 |
| 2 | 358, 4700 |
| 179, 2350 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 716,9400 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 9400
:1,2,4,5,8,10,20,25,40,47,50,94,100,188,200,235,376,470,940,1175,1880,2350,4700,9400
Greatest Common Factor
We found the factors 716,9400 . The biggest common factor number is the GCF number.
So the greatest common factor 716,9400 is 4.
Lets's calculate LCM of 756,7819
| 7 | 756, 7819 |
| 108, 1117 |
∴ So the LCM of the given numbers is 7 x 108 x 1117 = 844452
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/844452
Therefore, the GCF of Fractions 716/756,9400/7819 is 4/844452
Least Common Multiple of 756,7819 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 756,7819 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(756,7819) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(756,7819) x common factors =7 x 1 = 7
LCM(756,7819) = ( 756 × 7819 ) / 7
LCM(756,7819) = 5911164 / 7
LCM(756,7819) = 844452
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FAQs on GCF of Fractions of 716/756, 9400/7819
1. What is the HCF of 716,9400?
The HCF of 716,9400 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 716/756, 9400/7819?
Answer: GCF of Numerators as per given numbers 716/756, 9400/7819 is
GCF of Numerators i.e. for 716,9400 is 4
LCM of denominators i.e. for 756,7819 is 844452.
Thus, GCF of Fractions is 4/844452.Finally, GCF of Fractions for 716/756, 9400/7819 is 4/844452.