GCF of 3216/672, 3434/964
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3216/672, 3434/964 i.e 2/161952 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3216/672, 3434/964.
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 3216/672,3434/964?
Given fractions are 3216/672,3434/964
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 3216/672,3434/964, numerators are 3216,3434
Denominators are 672,964
The GCF of 3216,3434 is 2 .
LCM of 672,964 is 161952.
The greatest common factor of 3216/672,3434/964 = [GCF of 3216,3434]/[LCM of 672,964]= 2/161952
Therefore, the GCF of 3216/672,3434/964 is 2/161952.
To find the highest common factor of 3216,3434, we have to find the factors of both numbers and list the highest common factor.
The factors of 3216 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 67, 134, 201, 268, 402, 536, 804, 1072, 1608, 3216
The factors of 3434 are 1, 2, 17, 34, 101, 202, 1717, 3434
The HCF of 3216,3434 is 2.
Lets's calculate GCF of 3216,3434
| 2 | 3216, 3434 |
| 1608, 1717 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3216,3434 By Matching Biggest Common Factor Method
Now, list down the factors of 3216
:1,2,3,4,6,8,12,16,24,48,67,134,201,268,402,536,804,1072,1608,3216
Now, list down the factors of 3434
:1,2,17,34,101,202,1717,3434
Greatest Common Factor
We found the factors 3216,3434 . The biggest common factor number is the GCF number.
So the greatest common factor 3216,3434 is 2.
Lets's calculate LCM of 672,964
| 2 | 672, 964 |
| 2 | 336, 482 |
| 168, 241 |
∴ So the LCM of the given numbers is 2 x 2 x 168 x 241 = 161952
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/161952
Therefore, the GCF of Fractions 3216/672,3434/964 is 2/161952
Least Common Multiple of 672,964 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 672,964 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(672,964) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(672,964) x common factors =4 x 1 = 4
LCM(672,964) = ( 672 × 964 ) / 4
LCM(672,964) = 647808 / 4
LCM(672,964) = 161952
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FAQs on GCF of Fractions of 3216/672, 3434/964
1. What is the HCF of 3216,3434?
The HCF of 3216,3434 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 3216/672, 3434/964?
Answer: GCF of Numerators as per given numbers 3216/672, 3434/964 is
GCF of Numerators i.e. for 3216,3434 is 2
LCM of denominators i.e. for 672,964 is 161952.
Thus, GCF of Fractions is 2/161952.Finally, GCF of Fractions for 3216/672, 3434/964 is 2/161952.