GCF of 7950/215, 3825/3272
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7950/215, 3825/3272 i.e 75/703480 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7950/215, 3825/3272.
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 7950/215,3825/3272?
Given fractions are 7950/215,3825/3272
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 7950/215,3825/3272, numerators are 7950,3825
Denominators are 215,3272
The GCF of 7950,3825 is 75 .
LCM of 215,3272 is 703480.
The greatest common factor of 7950/215,3825/3272 = [GCF of 7950,3825]/[LCM of 215,3272]= 75/703480
Therefore, the GCF of 7950/215,3825/3272 is 75/703480.
To find the highest common factor of 7950,3825, we have to find the factors of both numbers and list the highest common factor.
The factors of 7950 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 53, 75, 106, 150, 159, 265, 318, 530, 795, 1325, 1590, 2650, 3975, 7950
The factors of 3825 are 1, 3, 5, 9, 15, 17, 25, 45, 51, 75, 85, 153, 225, 255, 425, 765, 1275, 3825
The HCF of 7950,3825 is 75.
Lets's calculate GCF of 7950,3825
| 3 | 7950, 3825 |
| 5 | 2650, 1275 |
| 5 | 530, 255 |
| 106, 51 |
∴ So the GCF of the given numbers is 3 x 5 x 5 = 75
Greatest Common Factor of 7950,3825 By Matching Biggest Common Factor Method
Now, list down the factors of 7950
:1,2,3,5,6,10,15,25,30,50,53,75,106,150,159,265,318,530,795,1325,1590,2650,3975,7950
Now, list down the factors of 3825
:1,3,5,9,15,17,25,45,51,75,85,153,225,255,425,765,1275,3825
Greatest Common Factor
We found the factors 7950,3825 . The biggest common factor number is the GCF number.
So the greatest common factor 7950,3825 is 75.
Lets's calculate LCM of 215,3272
Given numbers has no common factors except 1. So, there LCM is their product i.e 703480
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 75/703480
Therefore, the GCF of Fractions 7950/215,3825/3272 is 75/703480
Least Common Multiple of 215,3272 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 215,3272 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(215,3272) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(215,3272) x common factors =1 x 1 = 1
LCM(215,3272) = ( 215 × 3272 ) / 1
LCM(215,3272) = 703480 / 1
LCM(215,3272) = 703480
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FAQs on GCF of Fractions of 7950/215, 3825/3272
1. What is the HCF of 7950,3825?
The HCF of 7950,3825 is 75
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 7950/215, 3825/3272?
Answer: GCF of Numerators as per given numbers 7950/215, 3825/3272 is
GCF of Numerators i.e. for 7950,3825 is 75
LCM of denominators i.e. for 215,3272 is 703480.
Thus, GCF of Fractions is 75/703480.Finally, GCF of Fractions for 7950/215, 3825/3272 is 75/703480.