GCF of 3210/564, 7071/1670
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3210/564, 7071/1670 i.e 3/470940 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3210/564, 7071/1670.
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 3210/564,7071/1670?
Given fractions are 3210/564,7071/1670
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 3210/564,7071/1670, numerators are 3210,7071
Denominators are 564,1670
The GCF of 3210,7071 is 3 .
LCM of 564,1670 is 470940.
The greatest common factor of 3210/564,7071/1670 = [GCF of 3210,7071]/[LCM of 564,1670]= 3/470940
Therefore, the GCF of 3210/564,7071/1670 is 3/470940.
To find the highest common factor of 3210,7071, we have to find the factors of both numbers and list the highest common factor.
The factors of 3210 are 1, 2, 3, 5, 6, 10, 15, 30, 107, 214, 321, 535, 642, 1070, 1605, 3210
The factors of 7071 are 1, 3, 2357, 7071
The HCF of 3210,7071 is 3.
Lets's calculate GCF of 3210,7071
| 3 | 3210, 7071 |
| 1070, 2357 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3210,7071 By Matching Biggest Common Factor Method
Now, list down the factors of 3210
:1,2,3,5,6,10,15,30,107,214,321,535,642,1070,1605,3210
Now, list down the factors of 7071
:1,3,2357,7071
Greatest Common Factor
We found the factors 3210,7071 . The biggest common factor number is the GCF number.
So the greatest common factor 3210,7071 is 3.
Lets's calculate LCM of 564,1670
| 2 | 564, 1670 |
| 282, 835 |
∴ So the LCM of the given numbers is 2 x 282 x 835 = 470940
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/470940
Therefore, the GCF of Fractions 3210/564,7071/1670 is 3/470940
Least Common Multiple of 564,1670 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 564,1670 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(564,1670) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(564,1670) x common factors =2 x 1 = 2
LCM(564,1670) = ( 564 × 1670 ) / 2
LCM(564,1670) = 941880 / 2
LCM(564,1670) = 470940
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FAQs on GCF of Fractions of 3210/564, 7071/1670
1. What is the HCF of 3210,7071?
The HCF of 3210,7071 is 3
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 3210/564, 7071/1670?
Answer: GCF of Numerators as per given numbers 3210/564, 7071/1670 is
GCF of Numerators i.e. for 3210,7071 is 3
LCM of denominators i.e. for 564,1670 is 470940.
Thus, GCF of Fractions is 3/470940.Finally, GCF of Fractions for 3210/564, 7071/1670 is 3/470940.