GCF of 8252/624, 3750/825
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8252/624, 3750/825 i.e 2/171600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8252/624, 3750/825.
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 8252/624,3750/825?
Given fractions are 8252/624,3750/825
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 8252/624,3750/825, numerators are 8252,3750
Denominators are 624,825
The GCF of 8252,3750 is 2 .
LCM of 624,825 is 171600.
The greatest common factor of 8252/624,3750/825 = [GCF of 8252,3750]/[LCM of 624,825]= 2/171600
Therefore, the GCF of 8252/624,3750/825 is 2/171600.
To find the highest common factor of 8252,3750, we have to find the factors of both numbers and list the highest common factor.
The factors of 8252 are 1, 2, 4, 2063, 4126, 8252
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 HCF of 8252,3750 is 2.
Lets's calculate GCF of 8252,3750
| 2 | 8252, 3750 |
| 4126, 1875 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8252,3750 By Matching Biggest Common Factor Method
Now, list down the factors of 8252
:1,2,4,2063,4126,8252
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
Greatest Common Factor
We found the factors 8252,3750 . The biggest common factor number is the GCF number.
So the greatest common factor 8252,3750 is 2.
Lets's calculate LCM of 624,825
| 3 | 624, 825 |
| 208, 275 |
∴ So the LCM of the given numbers is 3 x 208 x 275 = 171600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/171600
Therefore, the GCF of Fractions 8252/624,3750/825 is 2/171600
Least Common Multiple of 624,825 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 624,825 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(624,825) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(624,825) x common factors =3 x 1 = 3
LCM(624,825) = ( 624 × 825 ) / 3
LCM(624,825) = 514800 / 3
LCM(624,825) = 171600
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FAQs on GCF of Fractions of 8252/624, 3750/825
1. What is the HCF of 8252,3750?
The HCF of 8252,3750 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 8252/624, 3750/825?
Answer: GCF of Numerators as per given numbers 8252/624, 3750/825 is
GCF of Numerators i.e. for 8252,3750 is 2
LCM of denominators i.e. for 624,825 is 171600.
Thus, GCF of Fractions is 2/171600.Finally, GCF of Fractions for 8252/624, 3750/825 is 2/171600.