GCF of 6620/665, 8142/975
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6620/665, 8142/975 i.e 2/129675 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6620/665, 8142/975.
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 6620/665,8142/975?
Given fractions are 6620/665,8142/975
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 6620/665,8142/975, numerators are 6620,8142
Denominators are 665,975
The GCF of 6620,8142 is 2 .
LCM of 665,975 is 129675.
The greatest common factor of 6620/665,8142/975 = [GCF of 6620,8142]/[LCM of 665,975]= 2/129675
Therefore, the GCF of 6620/665,8142/975 is 2/129675.
To find the highest common factor of 6620,8142, we have to find the factors of both numbers and list the highest common factor.
The factors of 6620 are 1, 2, 4, 5, 10, 20, 331, 662, 1324, 1655, 3310, 6620
The factors of 8142 are 1, 2, 3, 6, 23, 46, 59, 69, 118, 138, 177, 354, 1357, 2714, 4071, 8142
The HCF of 6620,8142 is 2.
Lets's calculate GCF of 6620,8142
| 2 | 6620, 8142 |
| 3310, 4071 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6620,8142 By Matching Biggest Common Factor Method
Now, list down the factors of 6620
:1,2,4,5,10,20,331,662,1324,1655,3310,6620
Now, list down the factors of 8142
:1,2,3,6,23,46,59,69,118,138,177,354,1357,2714,4071,8142
Greatest Common Factor
We found the factors 6620,8142 . The biggest common factor number is the GCF number.
So the greatest common factor 6620,8142 is 2.
Lets's calculate LCM of 665,975
| 5 | 665, 975 |
| 133, 195 |
∴ So the LCM of the given numbers is 5 x 133 x 195 = 129675
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/129675
Therefore, the GCF of Fractions 6620/665,8142/975 is 2/129675
Least Common Multiple of 665,975 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 665,975 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(665,975) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(665,975) x common factors =5 x 1 = 5
LCM(665,975) = ( 665 × 975 ) / 5
LCM(665,975) = 648375 / 5
LCM(665,975) = 129675
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FAQs on GCF of Fractions of 6620/665, 8142/975
1. What is the HCF of 6620,8142?
The HCF of 6620,8142 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 6620/665, 8142/975?
Answer: GCF of Numerators as per given numbers 6620/665, 8142/975 is
GCF of Numerators i.e. for 6620,8142 is 2
LCM of denominators i.e. for 665,975 is 129675.
Thus, GCF of Fractions is 2/129675.Finally, GCF of Fractions for 6620/665, 8142/975 is 2/129675.