GCF of 3396/894, 3572/8655
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3396/894, 3572/8655 i.e 4/2579190 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3396/894, 3572/8655.
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 3396/894,3572/8655?
Given fractions are 3396/894,3572/8655
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 3396/894,3572/8655, numerators are 3396,3572
Denominators are 894,8655
The GCF of 3396,3572 is 4 .
LCM of 894,8655 is 2579190.
The greatest common factor of 3396/894,3572/8655 = [GCF of 3396,3572]/[LCM of 894,8655]= 4/2579190
Therefore, the GCF of 3396/894,3572/8655 is 4/2579190.
To find the highest common factor of 3396,3572, we have to find the factors of both numbers and list the highest common factor.
The factors of 3396 are 1, 2, 3, 4, 6, 12, 283, 566, 849, 1132, 1698, 3396
The factors of 3572 are 1, 2, 4, 19, 38, 47, 76, 94, 188, 893, 1786, 3572
The HCF of 3396,3572 is 4.
Lets's calculate GCF of 3396,3572
| 2 | 3396, 3572 |
| 2 | 1698, 1786 |
| 849, 893 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 3396,3572 By Matching Biggest Common Factor Method
Now, list down the factors of 3396
:1,2,3,4,6,12,283,566,849,1132,1698,3396
Now, list down the factors of 3572
:1,2,4,19,38,47,76,94,188,893,1786,3572
Greatest Common Factor
We found the factors 3396,3572 . The biggest common factor number is the GCF number.
So the greatest common factor 3396,3572 is 4.
Lets's calculate LCM of 894,8655
| 3 | 894, 8655 |
| 298, 2885 |
∴ So the LCM of the given numbers is 3 x 298 x 2885 = 2579190
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/2579190
Therefore, the GCF of Fractions 3396/894,3572/8655 is 4/2579190
Least Common Multiple of 894,8655 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 894,8655 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(894,8655) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(894,8655) x common factors =3 x 1 = 3
LCM(894,8655) = ( 894 × 8655 ) / 3
LCM(894,8655) = 7737570 / 3
LCM(894,8655) = 2579190
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FAQs on GCF of Fractions of 3396/894, 3572/8655
1. What is the HCF of 3396,3572?
The HCF of 3396,3572 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 3396/894, 3572/8655?
Answer: GCF of Numerators as per given numbers 3396/894, 3572/8655 is
GCF of Numerators i.e. for 3396,3572 is 4
LCM of denominators i.e. for 894,8655 is 2579190.
Thus, GCF of Fractions is 4/2579190.Finally, GCF of Fractions for 3396/894, 3572/8655 is 4/2579190.