GCF of 640/271, 1994/435
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 640/271, 1994/435 i.e 2/117885 easily. The following is the detailed procedure to determine the greatest common factor of fractions 640/271, 1994/435.
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 640/271,1994/435?
Given fractions are 640/271,1994/435
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 640/271,1994/435, numerators are 640,1994
Denominators are 271,435
The GCF of 640,1994 is 2 .
LCM of 271,435 is 117885.
The greatest common factor of 640/271,1994/435 = [GCF of 640,1994]/[LCM of 271,435]= 2/117885
Therefore, the GCF of 640/271,1994/435 is 2/117885.
To find the highest common factor of 640,1994, 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 1994 are 1, 2, 997, 1994
The HCF of 640,1994 is 2.
Lets's calculate GCF of 640,1994
| 2 | 640, 1994 |
| 320, 997 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 640,1994 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 1994
:1,2,997,1994
Greatest Common Factor
We found the factors 640,1994 . The biggest common factor number is the GCF number.
So the greatest common factor 640,1994 is 2.
Lets's calculate LCM of 271,435
Given numbers has no common factors except 1. So, there LCM is their product i.e 117885
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/117885
Therefore, the GCF of Fractions 640/271,1994/435 is 2/117885
Least Common Multiple of 271,435 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 271,435 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(271,435) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(271,435) x common factors =1 x 1 = 1
LCM(271,435) = ( 271 × 435 ) / 1
LCM(271,435) = 117885 / 1
LCM(271,435) = 117885
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FAQs on GCF of Fractions of 640/271, 1994/435
1. What is the HCF of 640,1994?
The HCF of 640,1994 is 2
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 640/271, 1994/435?
Answer: GCF of Numerators as per given numbers 640/271, 1994/435 is
GCF of Numerators i.e. for 640,1994 is 2
LCM of denominators i.e. for 271,435 is 117885.
Thus, GCF of Fractions is 2/117885.Finally, GCF of Fractions for 640/271, 1994/435 is 2/117885.