GCF of 6649/704, 5878/9844
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6649/704, 5878/9844 i.e 1/1732544 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6649/704, 5878/9844.
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 6649/704,5878/9844?
Given fractions are 6649/704,5878/9844
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 6649/704,5878/9844, numerators are 6649,5878
Denominators are 704,9844
The GCF of 6649,5878 is 1 .
LCM of 704,9844 is 1732544.
The greatest common factor of 6649/704,5878/9844 = [GCF of 6649,5878]/[LCM of 704,9844]= 1/1732544
Therefore, the GCF of 6649/704,5878/9844 is 1/1732544.
To find the highest common factor of 6649,5878, we have to find the factors of both numbers and list the highest common factor.
The factors of 6649 are 1, 61, 109, 6649
The factors of 5878 are 1, 2, 2939, 5878
The HCF of 6649,5878 is 1.
Lets's calculate GCF of 6649,5878
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6649,5878 By Matching Biggest Common Factor Method
Now, list down the factors of 6649
:1,61,109,6649
Now, list down the factors of 5878
:1,2,2939,5878
Greatest Common Factor
We found the factors 6649,5878 . The biggest common factor number is the GCF number.
So the greatest common factor 6649,5878 is 1.
Lets's calculate LCM of 704,9844
| 2 | 704, 9844 |
| 2 | 352, 4922 |
| 176, 2461 |
∴ So the LCM of the given numbers is 2 x 2 x 176 x 2461 = 1732544
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1732544
Therefore, the GCF of Fractions 6649/704,5878/9844 is 1/1732544
Least Common Multiple of 704,9844 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 704,9844 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(704,9844) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(704,9844) x common factors =4 x 1 = 4
LCM(704,9844) = ( 704 × 9844 ) / 4
LCM(704,9844) = 6930176 / 4
LCM(704,9844) = 1732544
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FAQs on GCF of Fractions of 6649/704, 5878/9844
1. What is the HCF of 6649,5878?
The HCF of 6649,5878 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 6649/704, 5878/9844?
Answer: GCF of Numerators as per given numbers 6649/704, 5878/9844 is
GCF of Numerators i.e. for 6649,5878 is 1
LCM of denominators i.e. for 704,9844 is 1732544.
Thus, GCF of Fractions is 1/1732544.Finally, GCF of Fractions for 6649/704, 5878/9844 is 1/1732544.