GCF of 570/32, 322/102
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 570/32, 322/102 i.e 2/1632 easily. The following is the detailed procedure to determine the greatest common factor of fractions 570/32, 322/102.
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 570/32,322/102?
Given fractions are 570/32,322/102
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 570/32,322/102, numerators are 570,322
Denominators are 32,102
The GCF of 570,322 is 2 .
LCM of 32,102 is 1632.
The greatest common factor of 570/32,322/102 = [GCF of 570,322]/[LCM of 32,102]= 2/1632
Therefore, the GCF of 570/32,322/102 is 2/1632.
To find the highest common factor of 570,322, we have to find the factors of both numbers and list the highest common factor.
The factors of 570 are 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
The factors of 322 are 1, 2, 7, 14, 23, 46, 161, 322
The HCF of 570,322 is 2.
Lets's calculate GCF of 570,322
| 2 | 570, 322 |
| 285, 161 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 570,322 By Matching Biggest Common Factor Method
Now, list down the factors of 570
:1,2,3,5,6,10,15,19,30,38,57,95,114,190,285,570
Now, list down the factors of 322
:1,2,7,14,23,46,161,322
Greatest Common Factor
We found the factors 570,322 . The biggest common factor number is the GCF number.
So the greatest common factor 570,322 is 2.
Lets's calculate LCM of 32,102
| 2 | 32, 102 |
| 16, 51 |
∴ So the LCM of the given numbers is 2 x 16 x 51 = 1632
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1632
Therefore, the GCF of Fractions 570/32,322/102 is 2/1632
Least Common Multiple of 32,102 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 32,102 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(32,102) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(32,102) x common factors =2 x 1 = 2
LCM(32,102) = ( 32 × 102 ) / 2
LCM(32,102) = 3264 / 2
LCM(32,102) = 1632
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FAQs on GCF of Fractions of 570/32, 322/102
1. What is the HCF of 570,322?
The HCF of 570,322 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 570/32, 322/102?
Answer: GCF of Numerators as per given numbers 570/32, 322/102 is
GCF of Numerators i.e. for 570,322 is 2
LCM of denominators i.e. for 32,102 is 1632.
Thus, GCF of Fractions is 2/1632.Finally, GCF of Fractions for 570/32, 322/102 is 2/1632.