GCF of 4382/33, 1570/828
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4382/33, 1570/828 i.e 2/9108 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4382/33, 1570/828.
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 4382/33,1570/828?
Given fractions are 4382/33,1570/828
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 4382/33,1570/828, numerators are 4382,1570
Denominators are 33,828
The GCF of 4382,1570 is 2 .
LCM of 33,828 is 9108.
The greatest common factor of 4382/33,1570/828 = [GCF of 4382,1570]/[LCM of 33,828]= 2/9108
Therefore, the GCF of 4382/33,1570/828 is 2/9108.
To find the highest common factor of 4382,1570, we have to find the factors of both numbers and list the highest common factor.
The factors of 4382 are 1, 2, 7, 14, 313, 626, 2191, 4382
The factors of 1570 are 1, 2, 5, 10, 157, 314, 785, 1570
The HCF of 4382,1570 is 2.
Lets's calculate GCF of 4382,1570
| 2 | 4382, 1570 |
| 2191, 785 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4382,1570 By Matching Biggest Common Factor Method
Now, list down the factors of 4382
:1,2,7,14,313,626,2191,4382
Now, list down the factors of 1570
:1,2,5,10,157,314,785,1570
Greatest Common Factor
We found the factors 4382,1570 . The biggest common factor number is the GCF number.
So the greatest common factor 4382,1570 is 2.
Lets's calculate LCM of 33,828
| 3 | 33, 828 |
| 11, 276 |
∴ So the LCM of the given numbers is 3 x 11 x 276 = 9108
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/9108
Therefore, the GCF of Fractions 4382/33,1570/828 is 2/9108
Least Common Multiple of 33,828 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 33,828 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(33,828) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(33,828) x common factors =3 x 1 = 3
LCM(33,828) = ( 33 × 828 ) / 3
LCM(33,828) = 27324 / 3
LCM(33,828) = 9108
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FAQs on GCF of Fractions of 4382/33, 1570/828
1. What is the HCF of 4382,1570?
The HCF of 4382,1570 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 4382/33, 1570/828?
Answer: GCF of Numerators as per given numbers 4382/33, 1570/828 is
GCF of Numerators i.e. for 4382,1570 is 2
LCM of denominators i.e. for 33,828 is 9108.
Thus, GCF of Fractions is 2/9108.Finally, GCF of Fractions for 4382/33, 1570/828 is 2/9108.