GCF of 716/449, 500/597, 768/966
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 716/449, 500/597, 768/966 i.e 4/86313066 easily. The following is the detailed procedure to determine the greatest common factor of fractions 716/449, 500/597, 768/966.
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 716/449,500/597,768/966?
Given fractions are 716/449,500/597,768/966
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 716/449,500/597,768/966, numerators are 716,500,768
Denominators are 449,597,966
The GCF of 716,500,768 is 4 .
LCM of 449,597,966 is 86313066.
The greatest common factor of 716/449,500/597,768/966 = [GCF of 716,500,768]/[LCM of 449,597,966]= 4/86313066
Therefore, the GCF of 716/449,500/597,768/966 is 4/86313066.
To find the highest common factor of 716,500,768, 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 500 are 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
The factors of 768 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
The HCF of 716,500,768 is 4.
Lets's calculate GCF of 716,500,768
| 2 | 716, 500, 768 |
| 2 | 358, 250, 384 |
| 179, 125, 192 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 716,500,768 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 500
:1,2,4,5,10,20,25,50,100,125,250,500
Now, list down the factors of 768
:1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768
Greatest Common Factor
We found the factors 716,500,768 . The biggest common factor number is the GCF number.
So the greatest common factor 716,500,768 is 4.
Lets's calculate LCM of 449,597,966
| 3 | 449, 597, 966 |
| 449, 199, 322 |
∴ So the LCM of the given numbers is 3 x 449 x 199 x 322 = 86313066
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/86313066
Therefore, the GCF of Fractions 716/449,500/597,768/966 is 4/86313066
Least Common Multiple of 449,597,966 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 449,597,966 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(449,597,966) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(449,597,966) x common factors =1 x 3 = 3
LCM(449,597,966) = ( 449 × 597 × 966 ) / 3
LCM(449,597,966) = 258939198 / 3
LCM(449,597,966) = 86313066
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FAQs on GCF of Fractions of 716/449, 500/597, 768/966
1. What is the HCF of 716,500,768?
The HCF of 716,500,768 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 716/449, 500/597, 768/966?
Answer: GCF of Numerators as per given numbers 716/449, 500/597, 768/966 is
GCF of Numerators i.e. for 716,500,768 is 4
LCM of denominators i.e. for 449,597,966 is 86313066.
Thus, GCF of Fractions is 4/86313066.Finally, GCF of Fractions for 716/449, 500/597, 768/966 is 4/86313066.