GCF of 2744/241, 7000/6737
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2744/241, 7000/6737 i.e 56/1623617 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2744/241, 7000/6737.
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 2744/241,7000/6737?
Given fractions are 2744/241,7000/6737
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 2744/241,7000/6737, numerators are 2744,7000
Denominators are 241,6737
The GCF of 2744,7000 is 56 .
LCM of 241,6737 is 1623617.
The greatest common factor of 2744/241,7000/6737 = [GCF of 2744,7000]/[LCM of 241,6737]= 56/1623617
Therefore, the GCF of 2744/241,7000/6737 is 56/1623617.
To find the highest common factor of 2744,7000, we have to find the factors of both numbers and list the highest common factor.
The factors of 2744 are 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 343, 392, 686, 1372, 2744
The factors of 7000 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 40, 50, 56, 70, 100, 125, 140, 175, 200, 250, 280, 350, 500, 700, 875, 1000, 1400, 1750, 3500, 7000
The HCF of 2744,7000 is 56.
Lets's calculate GCF of 2744,7000
| 2 | 2744, 7000 |
| 2 | 1372, 3500 |
| 2 | 686, 1750 |
| 7 | 343, 875 |
| 49, 125 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 7 = 56
Greatest Common Factor of 2744,7000 By Matching Biggest Common Factor Method
Now, list down the factors of 2744
:1,2,4,7,8,14,28,49,56,98,196,343,392,686,1372,2744
Now, list down the factors of 7000
:1,2,4,5,7,8,10,14,20,25,28,35,40,50,56,70,100,125,140,175,200,250,280,350,500,700,875,1000,1400,1750,3500,7000
Greatest Common Factor
We found the factors 2744,7000 . The biggest common factor number is the GCF number.
So the greatest common factor 2744,7000 is 56.
Lets's calculate LCM of 241,6737
Given numbers has no common factors except 1. So, there LCM is their product i.e 1623617
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 56/1623617
Therefore, the GCF of Fractions 2744/241,7000/6737 is 56/1623617
Least Common Multiple of 241,6737 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 241,6737 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(241,6737) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(241,6737) x common factors =1 x 1 = 1
LCM(241,6737) = ( 241 × 6737 ) / 1
LCM(241,6737) = 1623617 / 1
LCM(241,6737) = 1623617
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FAQs on GCF of Fractions of 2744/241, 7000/6737
1. What is the HCF of 2744,7000?
The HCF of 2744,7000 is 56
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 2744/241, 7000/6737?
Answer: GCF of Numerators as per given numbers 2744/241, 7000/6737 is
GCF of Numerators i.e. for 2744,7000 is 56
LCM of denominators i.e. for 241,6737 is 1623617.
Thus, GCF of Fractions is 56/1623617.Finally, GCF of Fractions for 2744/241, 7000/6737 is 56/1623617.