GCF of 3382/632, 6878/6944
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3382/632, 6878/6944 i.e 38/548576 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3382/632, 6878/6944.
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 3382/632,6878/6944?
Given fractions are 3382/632,6878/6944
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 3382/632,6878/6944, numerators are 3382,6878
Denominators are 632,6944
The GCF of 3382,6878 is 38 .
LCM of 632,6944 is 548576.
The greatest common factor of 3382/632,6878/6944 = [GCF of 3382,6878]/[LCM of 632,6944]= 38/548576
Therefore, the GCF of 3382/632,6878/6944 is 38/548576.
To find the highest common factor of 3382,6878, we have to find the factors of both numbers and list the highest common factor.
The factors of 3382 are 1, 2, 19, 38, 89, 178, 1691, 3382
The factors of 6878 are 1, 2, 19, 38, 181, 362, 3439, 6878
The HCF of 3382,6878 is 38.
Lets's calculate GCF of 3382,6878
| 2 | 3382, 6878 |
| 19 | 1691, 3439 |
| 89, 181 |
∴ So the GCF of the given numbers is 2 x 19 = 38
Greatest Common Factor of 3382,6878 By Matching Biggest Common Factor Method
Now, list down the factors of 3382
:1,2,19,38,89,178,1691,3382
Now, list down the factors of 6878
:1,2,19,38,181,362,3439,6878
Greatest Common Factor
We found the factors 3382,6878 . The biggest common factor number is the GCF number.
So the greatest common factor 3382,6878 is 38.
Lets's calculate LCM of 632,6944
| 2 | 632, 6944 |
| 2 | 316, 3472 |
| 2 | 158, 1736 |
| 79, 868 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 79 x 868 = 548576
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 38/548576
Therefore, the GCF of Fractions 3382/632,6878/6944 is 38/548576
Least Common Multiple of 632,6944 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 632,6944 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(632,6944) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(632,6944) x common factors =8 x 1 = 8
LCM(632,6944) = ( 632 × 6944 ) / 8
LCM(632,6944) = 4388608 / 8
LCM(632,6944) = 548576
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FAQs on GCF of Fractions of 3382/632, 6878/6944
1. What is the HCF of 3382,6878?
The HCF of 3382,6878 is 38
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 3382/632, 6878/6944?
Answer: GCF of Numerators as per given numbers 3382/632, 6878/6944 is
GCF of Numerators i.e. for 3382,6878 is 38
LCM of denominators i.e. for 632,6944 is 548576.
Thus, GCF of Fractions is 38/548576.Finally, GCF of Fractions for 3382/632, 6878/6944 is 38/548576.