GCF of 3104/644, 9610/8281
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3104/644, 9610/8281 i.e 2/761852 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3104/644, 9610/8281.
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 3104/644,9610/8281?
Given fractions are 3104/644,9610/8281
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 3104/644,9610/8281, numerators are 3104,9610
Denominators are 644,8281
The GCF of 3104,9610 is 2 .
LCM of 644,8281 is 761852.
The greatest common factor of 3104/644,9610/8281 = [GCF of 3104,9610]/[LCM of 644,8281]= 2/761852
Therefore, the GCF of 3104/644,9610/8281 is 2/761852.
To find the highest common factor of 3104,9610, we have to find the factors of both numbers and list the highest common factor.
The factors of 3104 are 1, 2, 4, 8, 16, 32, 97, 194, 388, 776, 1552, 3104
The factors of 9610 are 1, 2, 5, 10, 31, 62, 155, 310, 961, 1922, 4805, 9610
The HCF of 3104,9610 is 2.
Lets's calculate GCF of 3104,9610
| 2 | 3104, 9610 |
| 1552, 4805 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3104,9610 By Matching Biggest Common Factor Method
Now, list down the factors of 3104
:1,2,4,8,16,32,97,194,388,776,1552,3104
Now, list down the factors of 9610
:1,2,5,10,31,62,155,310,961,1922,4805,9610
Greatest Common Factor
We found the factors 3104,9610 . The biggest common factor number is the GCF number.
So the greatest common factor 3104,9610 is 2.
Lets's calculate LCM of 644,8281
| 7 | 644, 8281 |
| 92, 1183 |
∴ So the LCM of the given numbers is 7 x 92 x 1183 = 761852
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/761852
Therefore, the GCF of Fractions 3104/644,9610/8281 is 2/761852
Least Common Multiple of 644,8281 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 644,8281 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(644,8281) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(644,8281) x common factors =7 x 1 = 7
LCM(644,8281) = ( 644 × 8281 ) / 7
LCM(644,8281) = 5332964 / 7
LCM(644,8281) = 761852
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FAQs on GCF of Fractions of 3104/644, 9610/8281
1. What is the HCF of 3104,9610?
The HCF of 3104,9610 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 3104/644, 9610/8281?
Answer: GCF of Numerators as per given numbers 3104/644, 9610/8281 is
GCF of Numerators i.e. for 3104,9610 is 2
LCM of denominators i.e. for 644,8281 is 761852.
Thus, GCF of Fractions is 2/761852.Finally, GCF of Fractions for 3104/644, 9610/8281 is 2/761852.