GCF of 3421/644, 3634/648
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3421/644, 3634/648 i.e 1/104328 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3421/644, 3634/648.
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 3421/644,3634/648?
Given fractions are 3421/644,3634/648
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 3421/644,3634/648, numerators are 3421,3634
Denominators are 644,648
The GCF of 3421,3634 is 1 .
LCM of 644,648 is 104328.
The greatest common factor of 3421/644,3634/648 = [GCF of 3421,3634]/[LCM of 644,648]= 1/104328
Therefore, the GCF of 3421/644,3634/648 is 1/104328.
To find the highest common factor of 3421,3634, we have to find the factors of both numbers and list the highest common factor.
The factors of 3421 are 1, 11, 311, 3421
The factors of 3634 are 1, 2, 23, 46, 79, 158, 1817, 3634
The HCF of 3421,3634 is 1.
Lets's calculate GCF of 3421,3634
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3421,3634 By Matching Biggest Common Factor Method
Now, list down the factors of 3421
:1,11,311,3421
Now, list down the factors of 3634
:1,2,23,46,79,158,1817,3634
Greatest Common Factor
We found the factors 3421,3634 . The biggest common factor number is the GCF number.
So the greatest common factor 3421,3634 is 1.
Lets's calculate LCM of 644,648
| 2 | 644, 648 |
| 2 | 322, 324 |
| 161, 162 |
∴ So the LCM of the given numbers is 2 x 2 x 161 x 162 = 104328
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/104328
Therefore, the GCF of Fractions 3421/644,3634/648 is 1/104328
Least Common Multiple of 644,648 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 644,648 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(644,648) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(644,648) x common factors =4 x 1 = 4
LCM(644,648) = ( 644 × 648 ) / 4
LCM(644,648) = 417312 / 4
LCM(644,648) = 104328
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FAQs on GCF of Fractions of 3421/644, 3634/648
1. What is the HCF of 3421,3634?
The HCF of 3421,3634 is 1
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 3421/644, 3634/648?
Answer: GCF of Numerators as per given numbers 3421/644, 3634/648 is
GCF of Numerators i.e. for 3421,3634 is 1
LCM of denominators i.e. for 644,648 is 104328.
Thus, GCF of Fractions is 1/104328.Finally, GCF of Fractions for 3421/644, 3634/648 is 1/104328.