GCF of 3788/525, 3152/969
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3788/525, 3152/969 i.e 4/169575 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3788/525, 3152/969.
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 3788/525,3152/969?
Given fractions are 3788/525,3152/969
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 3788/525,3152/969, numerators are 3788,3152
Denominators are 525,969
The GCF of 3788,3152 is 4 .
LCM of 525,969 is 169575.
The greatest common factor of 3788/525,3152/969 = [GCF of 3788,3152]/[LCM of 525,969]= 4/169575
Therefore, the GCF of 3788/525,3152/969 is 4/169575.
To find the highest common factor of 3788,3152, we have to find the factors of both numbers and list the highest common factor.
The factors of 3788 are 1, 2, 4, 947, 1894, 3788
The factors of 3152 are 1, 2, 4, 8, 16, 197, 394, 788, 1576, 3152
The HCF of 3788,3152 is 4.
Lets's calculate GCF of 3788,3152
| 2 | 3788, 3152 |
| 2 | 1894, 1576 |
| 947, 788 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 3788,3152 By Matching Biggest Common Factor Method
Now, list down the factors of 3788
:1,2,4,947,1894,3788
Now, list down the factors of 3152
:1,2,4,8,16,197,394,788,1576,3152
Greatest Common Factor
We found the factors 3788,3152 . The biggest common factor number is the GCF number.
So the greatest common factor 3788,3152 is 4.
Lets's calculate LCM of 525,969
| 3 | 525, 969 |
| 175, 323 |
∴ So the LCM of the given numbers is 3 x 175 x 323 = 169575
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/169575
Therefore, the GCF of Fractions 3788/525,3152/969 is 4/169575
Least Common Multiple of 525,969 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 525,969 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(525,969) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(525,969) x common factors =3 x 1 = 3
LCM(525,969) = ( 525 × 969 ) / 3
LCM(525,969) = 508725 / 3
LCM(525,969) = 169575
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FAQs on GCF of Fractions of 3788/525, 3152/969
1. What is the HCF of 3788,3152?
The HCF of 3788,3152 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 3788/525, 3152/969?
Answer: GCF of Numerators as per given numbers 3788/525, 3152/969 is
GCF of Numerators i.e. for 3788,3152 is 4
LCM of denominators i.e. for 525,969 is 169575.
Thus, GCF of Fractions is 4/169575.Finally, GCF of Fractions for 3788/525, 3152/969 is 4/169575.