GCF of 8035/735, 1600/938
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8035/735, 1600/938 i.e 5/98490 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8035/735, 1600/938.
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 8035/735,1600/938?
Given fractions are 8035/735,1600/938
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 8035/735,1600/938, numerators are 8035,1600
Denominators are 735,938
The GCF of 8035,1600 is 5 .
LCM of 735,938 is 98490.
The greatest common factor of 8035/735,1600/938 = [GCF of 8035,1600]/[LCM of 735,938]= 5/98490
Therefore, the GCF of 8035/735,1600/938 is 5/98490.
To find the highest common factor of 8035,1600, we have to find the factors of both numbers and list the highest common factor.
The factors of 8035 are 1, 5, 1607, 8035
The factors of 1600 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 160, 200, 320, 400, 800, 1600
The HCF of 8035,1600 is 5.
Lets's calculate GCF of 8035,1600
| 5 | 8035, 1600 |
| 1607, 320 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 8035,1600 By Matching Biggest Common Factor Method
Now, list down the factors of 8035
:1,5,1607,8035
Now, list down the factors of 1600
:1,2,4,5,8,10,16,20,25,32,40,50,64,80,100,160,200,320,400,800,1600
Greatest Common Factor
We found the factors 8035,1600 . The biggest common factor number is the GCF number.
So the greatest common factor 8035,1600 is 5.
Lets's calculate LCM of 735,938
| 7 | 735, 938 |
| 105, 134 |
∴ So the LCM of the given numbers is 7 x 105 x 134 = 98490
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/98490
Therefore, the GCF of Fractions 8035/735,1600/938 is 5/98490
Least Common Multiple of 735,938 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 735,938 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(735,938) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(735,938) x common factors =7 x 1 = 7
LCM(735,938) = ( 735 × 938 ) / 7
LCM(735,938) = 689430 / 7
LCM(735,938) = 98490
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FAQs on GCF of Fractions of 8035/735, 1600/938
1. What is the HCF of 8035,1600?
The HCF of 8035,1600 is 5
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 8035/735, 1600/938?
Answer: GCF of Numerators as per given numbers 8035/735, 1600/938 is
GCF of Numerators i.e. for 8035,1600 is 5
LCM of denominators i.e. for 735,938 is 98490.
Thus, GCF of Fractions is 5/98490.Finally, GCF of Fractions for 8035/735, 1600/938 is 5/98490.