GCF of 4870/660, 3975/1015
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4870/660, 3975/1015 i.e 5/133980 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4870/660, 3975/1015.
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 4870/660,3975/1015?
Given fractions are 4870/660,3975/1015
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 4870/660,3975/1015, numerators are 4870,3975
Denominators are 660,1015
The GCF of 4870,3975 is 5 .
LCM of 660,1015 is 133980.
The greatest common factor of 4870/660,3975/1015 = [GCF of 4870,3975]/[LCM of 660,1015]= 5/133980
Therefore, the GCF of 4870/660,3975/1015 is 5/133980.
To find the highest common factor of 4870,3975, we have to find the factors of both numbers and list the highest common factor.
The factors of 4870 are 1, 2, 5, 10, 487, 974, 2435, 4870
The factors of 3975 are 1, 3, 5, 15, 25, 53, 75, 159, 265, 795, 1325, 3975
The HCF of 4870,3975 is 5.
Lets's calculate GCF of 4870,3975
| 5 | 4870, 3975 |
| 974, 795 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 4870,3975 By Matching Biggest Common Factor Method
Now, list down the factors of 4870
:1,2,5,10,487,974,2435,4870
Now, list down the factors of 3975
:1,3,5,15,25,53,75,159,265,795,1325,3975
Greatest Common Factor
We found the factors 4870,3975 . The biggest common factor number is the GCF number.
So the greatest common factor 4870,3975 is 5.
Lets's calculate LCM of 660,1015
| 5 | 660, 1015 |
| 132, 203 |
∴ So the LCM of the given numbers is 5 x 132 x 203 = 133980
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/133980
Therefore, the GCF of Fractions 4870/660,3975/1015 is 5/133980
Least Common Multiple of 660,1015 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 660,1015 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(660,1015) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(660,1015) x common factors =5 x 1 = 5
LCM(660,1015) = ( 660 × 1015 ) / 5
LCM(660,1015) = 669900 / 5
LCM(660,1015) = 133980
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FAQs on GCF of Fractions of 4870/660, 3975/1015
1. What is the HCF of 4870,3975?
The HCF of 4870,3975 is 5
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 4870/660, 3975/1015?
Answer: GCF of Numerators as per given numbers 4870/660, 3975/1015 is
GCF of Numerators i.e. for 4870,3975 is 5
LCM of denominators i.e. for 660,1015 is 133980.
Thus, GCF of Fractions is 5/133980.Finally, GCF of Fractions for 4870/660, 3975/1015 is 5/133980.