GCF of 3388/834, 7500/105
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3388/834, 7500/105 i.e 4/29190 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3388/834, 7500/105.
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 3388/834,7500/105?
Given fractions are 3388/834,7500/105
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 3388/834,7500/105, numerators are 3388,7500
Denominators are 834,105
The GCF of 3388,7500 is 4 .
LCM of 834,105 is 29190.
The greatest common factor of 3388/834,7500/105 = [GCF of 3388,7500]/[LCM of 834,105]= 4/29190
Therefore, the GCF of 3388/834,7500/105 is 4/29190.
To find the highest common factor of 3388,7500, we have to find the factors of both numbers and list the highest common factor.
The factors of 3388 are 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 121, 154, 242, 308, 484, 847, 1694, 3388
The factors of 7500 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 125, 150, 250, 300, 375, 500, 625, 750, 1250, 1500, 1875, 2500, 3750, 7500
The HCF of 3388,7500 is 4.
Lets's calculate GCF of 3388,7500
| 2 | 3388, 7500 |
| 2 | 1694, 3750 |
| 847, 1875 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 3388,7500 By Matching Biggest Common Factor Method
Now, list down the factors of 3388
:1,2,4,7,11,14,22,28,44,77,121,154,242,308,484,847,1694,3388
Now, list down the factors of 7500
:1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,125,150,250,300,375,500,625,750,1250,1500,1875,2500,3750,7500
Greatest Common Factor
We found the factors 3388,7500 . The biggest common factor number is the GCF number.
So the greatest common factor 3388,7500 is 4.
Lets's calculate LCM of 834,105
| 3 | 834, 105 |
| 278, 35 |
∴ So the LCM of the given numbers is 3 x 278 x 35 = 29190
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/29190
Therefore, the GCF of Fractions 3388/834,7500/105 is 4/29190
Least Common Multiple of 834,105 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 834,105 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(834,105) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(834,105) x common factors =3 x 1 = 3
LCM(834,105) = ( 834 × 105 ) / 3
LCM(834,105) = 87570 / 3
LCM(834,105) = 29190
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FAQs on GCF of Fractions of 3388/834, 7500/105
1. What is the HCF of 3388,7500?
The HCF of 3388,7500 is 4
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 3388/834, 7500/105?
Answer: GCF of Numerators as per given numbers 3388/834, 7500/105 is
GCF of Numerators i.e. for 3388,7500 is 4
LCM of denominators i.e. for 834,105 is 29190.
Thus, GCF of Fractions is 4/29190.Finally, GCF of Fractions for 3388/834, 7500/105 is 4/29190.