GCF of 62/569, 40/469, 316/660
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 62/569, 40/469, 316/660 i.e 2/176128260 easily. The following is the detailed procedure to determine the greatest common factor of fractions 62/569, 40/469, 316/660.
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 62/569,40/469,316/660?
Given fractions are 62/569,40/469,316/660
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 62/569,40/469,316/660, numerators are 62,40,316
Denominators are 569,469,660
The GCF of 62,40,316 is 2 .
LCM of 569,469,660 is 176128260.
The greatest common factor of 62/569,40/469,316/660 = [GCF of 62,40,316]/[LCM of 569,469,660]= 2/176128260
Therefore, the GCF of 62/569,40/469,316/660 is 2/176128260.
To find the highest common factor of 62,40,316, we have to find the factors of both numbers and list the highest common factor.
The factors of 62 are 1, 2, 31, 62
The factors of 40 are 1, 2, 4, 5, 8, 10, 20, 40
The factors of 316 are 1, 2, 4, 79, 158, 316
The HCF of 62,40,316 is 2.
Lets's calculate GCF of 62,40,316
| 2 | 62, 40, 316 |
| 31, 20, 158 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 62,40,316 By Matching Biggest Common Factor Method
Now, list down the factors of 62
:1,2,31,62
Now, list down the factors of 40
:1,2,4,5,8,10,20,40
Now, list down the factors of 316
:1,2,4,79,158,316
Greatest Common Factor
We found the factors 62,40,316 . The biggest common factor number is the GCF number.
So the greatest common factor 62,40,316 is 2.
Lets's calculate LCM of 569,469,660
Given numbers has no common factors except 1. So, there LCM is their product i.e 176128260
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/176128260
Therefore, the GCF of Fractions 62/569,40/469,316/660 is 2/176128260
Least Common Multiple of 569,469,660 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 569,469,660 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(569,469,660) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(569,469,660) x common factors =1 x 1 = 1
LCM(569,469,660) = ( 569 × 469 × 660 ) / 1
LCM(569,469,660) = 176128260 / 1
LCM(569,469,660) = 176128260
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FAQs on GCF of Fractions of 62/569, 40/469, 316/660
1. What is the HCF of 62,40,316?
The HCF of 62,40,316 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 62/569, 40/469, 316/660?
Answer: GCF of Numerators as per given numbers 62/569, 40/469, 316/660 is
GCF of Numerators i.e. for 62,40,316 is 2
LCM of denominators i.e. for 569,469,660 is 176128260.
Thus, GCF of Fractions is 2/176128260.Finally, GCF of Fractions for 62/569, 40/469, 316/660 is 2/176128260.