GCF of 3237/540, 5600/3207
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3237/540, 5600/3207 i.e 1/577260 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3237/540, 5600/3207.
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 3237/540,5600/3207?
Given fractions are 3237/540,5600/3207
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 3237/540,5600/3207, numerators are 3237,5600
Denominators are 540,3207
The GCF of 3237,5600 is 1 .
LCM of 540,3207 is 577260.
The greatest common factor of 3237/540,5600/3207 = [GCF of 3237,5600]/[LCM of 540,3207]= 1/577260
Therefore, the GCF of 3237/540,5600/3207 is 1/577260.
To find the highest common factor of 3237,5600, we have to find the factors of both numbers and list the highest common factor.
The factors of 3237 are 1, 3, 13, 39, 83, 249, 1079, 3237
The factors of 5600 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 25, 28, 32, 35, 40, 50, 56, 70, 80, 100, 112, 140, 160, 175, 200, 224, 280, 350, 400, 560, 700, 800, 1120, 1400, 2800, 5600
The HCF of 3237,5600 is 1.
Lets's calculate GCF of 3237,5600
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3237,5600 By Matching Biggest Common Factor Method
Now, list down the factors of 3237
:1,3,13,39,83,249,1079,3237
Now, list down the factors of 5600
:1,2,4,5,7,8,10,14,16,20,25,28,32,35,40,50,56,70,80,100,112,140,160,175,200,224,280,350,400,560,700,800,1120,1400,2800,5600
Greatest Common Factor
We found the factors 3237,5600 . The biggest common factor number is the GCF number.
So the greatest common factor 3237,5600 is 1.
Lets's calculate LCM of 540,3207
| 3 | 540, 3207 |
| 180, 1069 |
∴ So the LCM of the given numbers is 3 x 180 x 1069 = 577260
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/577260
Therefore, the GCF of Fractions 3237/540,5600/3207 is 1/577260
Least Common Multiple of 540,3207 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 540,3207 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(540,3207) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(540,3207) x common factors =3 x 1 = 3
LCM(540,3207) = ( 540 × 3207 ) / 3
LCM(540,3207) = 1731780 / 3
LCM(540,3207) = 577260
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FAQs on GCF of Fractions of 3237/540, 5600/3207
1. What is the HCF of 3237,5600?
The HCF of 3237,5600 is 1
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 3237/540, 5600/3207?
Answer: GCF of Numerators as per given numbers 3237/540, 5600/3207 is
GCF of Numerators i.e. for 3237,5600 is 1
LCM of denominators i.e. for 540,3207 is 577260.
Thus, GCF of Fractions is 1/577260.Finally, GCF of Fractions for 3237/540, 5600/3207 is 1/577260.