GCF of 3750/180, 7845/9582
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3750/180, 7845/9582 i.e 15/287460 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3750/180, 7845/9582.
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 3750/180,7845/9582?
Given fractions are 3750/180,7845/9582
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 3750/180,7845/9582, numerators are 3750,7845
Denominators are 180,9582
The GCF of 3750,7845 is 15 .
LCM of 180,9582 is 287460.
The greatest common factor of 3750/180,7845/9582 = [GCF of 3750,7845]/[LCM of 180,9582]= 15/287460
Therefore, the GCF of 3750/180,7845/9582 is 15/287460.
To find the highest common factor of 3750,7845, we have to find the factors of both numbers and list the highest common factor.
The factors of 3750 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 625, 750, 1250, 1875, 3750
The factors of 7845 are 1, 3, 5, 15, 523, 1569, 2615, 7845
The HCF of 3750,7845 is 15.
Lets's calculate GCF of 3750,7845
| 3 | 3750, 7845 |
| 5 | 1250, 2615 |
| 250, 523 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Greatest Common Factor of 3750,7845 By Matching Biggest Common Factor Method
Now, list down the factors of 3750
:1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,625,750,1250,1875,3750
Now, list down the factors of 7845
:1,3,5,15,523,1569,2615,7845
Greatest Common Factor
We found the factors 3750,7845 . The biggest common factor number is the GCF number.
So the greatest common factor 3750,7845 is 15.
Lets's calculate LCM of 180,9582
| 2 | 180, 9582 |
| 3 | 90, 4791 |
| 30, 1597 |
∴ So the LCM of the given numbers is 2 x 3 x 30 x 1597 = 287460
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/287460
Therefore, the GCF of Fractions 3750/180,7845/9582 is 15/287460
Least Common Multiple of 180,9582 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 180,9582 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(180,9582) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(180,9582) x common factors =6 x 1 = 6
LCM(180,9582) = ( 180 × 9582 ) / 6
LCM(180,9582) = 1724760 / 6
LCM(180,9582) = 287460
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FAQs on GCF of Fractions of 3750/180, 7845/9582
1. What is the HCF of 3750,7845?
The HCF of 3750,7845 is 15
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 3750/180, 7845/9582?
Answer: GCF of Numerators as per given numbers 3750/180, 7845/9582 is
GCF of Numerators i.e. for 3750,7845 is 15
LCM of denominators i.e. for 180,9582 is 287460.
Thus, GCF of Fractions is 15/287460.Finally, GCF of Fractions for 3750/180, 7845/9582 is 15/287460.