GCF of 3912/449, 6494/7709
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3912/449, 6494/7709 i.e 2/3461341 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3912/449, 6494/7709.
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 3912/449,6494/7709?
Given fractions are 3912/449,6494/7709
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 3912/449,6494/7709, numerators are 3912,6494
Denominators are 449,7709
The GCF of 3912,6494 is 2 .
LCM of 449,7709 is 3461341.
The greatest common factor of 3912/449,6494/7709 = [GCF of 3912,6494]/[LCM of 449,7709]= 2/3461341
Therefore, the GCF of 3912/449,6494/7709 is 2/3461341.
To find the highest common factor of 3912,6494, we have to find the factors of both numbers and list the highest common factor.
The factors of 3912 are 1, 2, 3, 4, 6, 8, 12, 24, 163, 326, 489, 652, 978, 1304, 1956, 3912
The factors of 6494 are 1, 2, 17, 34, 191, 382, 3247, 6494
The HCF of 3912,6494 is 2.
Lets's calculate GCF of 3912,6494
| 2 | 3912, 6494 |
| 1956, 3247 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3912,6494 By Matching Biggest Common Factor Method
Now, list down the factors of 3912
:1,2,3,4,6,8,12,24,163,326,489,652,978,1304,1956,3912
Now, list down the factors of 6494
:1,2,17,34,191,382,3247,6494
Greatest Common Factor
We found the factors 3912,6494 . The biggest common factor number is the GCF number.
So the greatest common factor 3912,6494 is 2.
Lets's calculate LCM of 449,7709
Given numbers has no common factors except 1. So, there LCM is their product i.e 3461341
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3461341
Therefore, the GCF of Fractions 3912/449,6494/7709 is 2/3461341
Least Common Multiple of 449,7709 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 449,7709 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(449,7709) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(449,7709) x common factors =1 x 1 = 1
LCM(449,7709) = ( 449 × 7709 ) / 1
LCM(449,7709) = 3461341 / 1
LCM(449,7709) = 3461341
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FAQs on GCF of Fractions of 3912/449, 6494/7709
1. What is the HCF of 3912,6494?
The HCF of 3912,6494 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 3912/449, 6494/7709?
Answer: GCF of Numerators as per given numbers 3912/449, 6494/7709 is
GCF of Numerators i.e. for 3912,6494 is 2
LCM of denominators i.e. for 449,7709 is 3461341.
Thus, GCF of Fractions is 2/3461341.Finally, GCF of Fractions for 3912/449, 6494/7709 is 2/3461341.