GCF of 640/703, 6400/938
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 640/703, 6400/938 i.e 640/659414 easily. The following is the detailed procedure to determine the greatest common factor of fractions 640/703, 6400/938.
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 640/703,6400/938?
Given fractions are 640/703,6400/938
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 640/703,6400/938, numerators are 640,6400
Denominators are 703,938
The GCF of 640,6400 is 640 .
LCM of 703,938 is 659414.
The greatest common factor of 640/703,6400/938 = [GCF of 640,6400]/[LCM of 703,938]= 640/659414
Therefore, the GCF of 640/703,6400/938 is 640/659414.
To find the highest common factor of 640,6400, we have to find the factors of both numbers and list the highest common factor.
The factors of 640 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
The factors of 6400 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 128, 160, 200, 256, 320, 400, 640, 800, 1280, 1600, 3200, 6400
The HCF of 640,6400 is 640.
Lets's calculate GCF of 640,6400
| 2 | 640, 6400 |
| 2 | 320, 3200 |
| 2 | 160, 1600 |
| 2 | 80, 800 |
| 2 | 40, 400 |
| 2 | 20, 200 |
| 2 | 10, 100 |
| 5 | 5, 50 |
| 1, 10 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 = 640
Greatest Common Factor of 640,6400 By Matching Biggest Common Factor Method
Now, list down the factors of 640
:1,2,4,5,8,10,16,20,32,40,64,80,128,160,320,640
Now, list down the factors of 6400
:1,2,4,5,8,10,16,20,25,32,40,50,64,80,100,128,160,200,256,320,400,640,800,1280,1600,3200,6400
Greatest Common Factor
We found the factors 640,6400 . The biggest common factor number is the GCF number.
So the greatest common factor 640,6400 is 640.
Lets's calculate LCM of 703,938
Given numbers has no common factors except 1. So, there LCM is their product i.e 659414
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 640/659414
Therefore, the GCF of Fractions 640/703,6400/938 is 640/659414
Least Common Multiple of 703,938 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 703,938 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(703,938) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(703,938) x common factors =1 x 1 = 1
LCM(703,938) = ( 703 × 938 ) / 1
LCM(703,938) = 659414 / 1
LCM(703,938) = 659414
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FAQs on GCF of Fractions of 640/703, 6400/938
1. What is the HCF of 640,6400?
The HCF of 640,6400 is 640
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 640/703, 6400/938?
Answer: GCF of Numerators as per given numbers 640/703, 6400/938 is
GCF of Numerators i.e. for 640,6400 is 640
LCM of denominators i.e. for 703,938 is 659414.
Thus, GCF of Fractions is 640/659414.Finally, GCF of Fractions for 640/703, 6400/938 is 640/659414.