GCF of 3545/957, 3200/998
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3545/957, 3200/998 i.e 5/955086 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3545/957, 3200/998.
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 3545/957,3200/998?
Given fractions are 3545/957,3200/998
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 3545/957,3200/998, numerators are 3545,3200
Denominators are 957,998
The GCF of 3545,3200 is 5 .
LCM of 957,998 is 955086.
The greatest common factor of 3545/957,3200/998 = [GCF of 3545,3200]/[LCM of 957,998]= 5/955086
Therefore, the GCF of 3545/957,3200/998 is 5/955086.
To find the highest common factor of 3545,3200, we have to find the factors of both numbers and list the highest common factor.
The factors of 3545 are 1, 5, 709, 3545
The factors of 3200 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 128, 160, 200, 320, 400, 640, 800, 1600, 3200
The HCF of 3545,3200 is 5.
Lets's calculate GCF of 3545,3200
| 5 | 3545, 3200 |
| 709, 640 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 3545,3200 By Matching Biggest Common Factor Method
Now, list down the factors of 3545
:1,5,709,3545
Now, list down the factors of 3200
:1,2,4,5,8,10,16,20,25,32,40,50,64,80,100,128,160,200,320,400,640,800,1600,3200
Greatest Common Factor
We found the factors 3545,3200 . The biggest common factor number is the GCF number.
So the greatest common factor 3545,3200 is 5.
Lets's calculate LCM of 957,998
Given numbers has no common factors except 1. So, there LCM is their product i.e 955086
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/955086
Therefore, the GCF of Fractions 3545/957,3200/998 is 5/955086
Least Common Multiple of 957,998 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 957,998 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(957,998) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(957,998) x common factors =1 x 1 = 1
LCM(957,998) = ( 957 × 998 ) / 1
LCM(957,998) = 955086 / 1
LCM(957,998) = 955086
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FAQs on GCF of Fractions of 3545/957, 3200/998
1. What is the HCF of 3545,3200?
The HCF of 3545,3200 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 3545/957, 3200/998?
Answer: GCF of Numerators as per given numbers 3545/957, 3200/998 is
GCF of Numerators i.e. for 3545,3200 is 5
LCM of denominators i.e. for 957,998 is 955086.
Thus, GCF of Fractions is 5/955086.Finally, GCF of Fractions for 3545/957, 3200/998 is 5/955086.