GCF of 5600/746, 6881/8512
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5600/746, 6881/8512 i.e 7/3174976 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5600/746, 6881/8512.
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 5600/746,6881/8512?
Given fractions are 5600/746,6881/8512
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 5600/746,6881/8512, numerators are 5600,6881
Denominators are 746,8512
The GCF of 5600,6881 is 7 .
LCM of 746,8512 is 3174976.
The greatest common factor of 5600/746,6881/8512 = [GCF of 5600,6881]/[LCM of 746,8512]= 7/3174976
Therefore, the GCF of 5600/746,6881/8512 is 7/3174976.
To find the highest common factor of 5600,6881, we have to find the factors of both numbers and list the highest common factor.
The factors of 5600 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 25, 28, 32, 35, 40, 50, 56, 70, 80, 100, 112, 140, 160, 175, 200, 224, 280, 350, 400, 560, 700, 800, 1120, 1400, 2800, 5600
The factors of 6881 are 1, 7, 983, 6881
The HCF of 5600,6881 is 7.
Lets's calculate GCF of 5600,6881
| 7 | 5600, 6881 |
| 800, 983 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 5600,6881 By Matching Biggest Common Factor Method
Now, list down the factors of 5600
:1,2,4,5,7,8,10,14,16,20,25,28,32,35,40,50,56,70,80,100,112,140,160,175,200,224,280,350,400,560,700,800,1120,1400,2800,5600
Now, list down the factors of 6881
:1,7,983,6881
Greatest Common Factor
We found the factors 5600,6881 . The biggest common factor number is the GCF number.
So the greatest common factor 5600,6881 is 7.
Lets's calculate LCM of 746,8512
| 2 | 746, 8512 |
| 373, 4256 |
∴ So the LCM of the given numbers is 2 x 373 x 4256 = 3174976
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/3174976
Therefore, the GCF of Fractions 5600/746,6881/8512 is 7/3174976
Least Common Multiple of 746,8512 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 746,8512 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(746,8512) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(746,8512) x common factors =2 x 1 = 2
LCM(746,8512) = ( 746 × 8512 ) / 2
LCM(746,8512) = 6349952 / 2
LCM(746,8512) = 3174976
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FAQs on GCF of Fractions of 5600/746, 6881/8512
1. What is the HCF of 5600,6881?
The HCF of 5600,6881 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 5600/746, 6881/8512?
Answer: GCF of Numerators as per given numbers 5600/746, 6881/8512 is
GCF of Numerators i.e. for 5600,6881 is 7
LCM of denominators i.e. for 746,8512 is 3174976.
Thus, GCF of Fractions is 7/3174976.Finally, GCF of Fractions for 5600/746, 6881/8512 is 7/3174976.