GCF of 9508/616, 5044/5731
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9508/616, 5044/5731 i.e 4/320936 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9508/616, 5044/5731.
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 9508/616,5044/5731?
Given fractions are 9508/616,5044/5731
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 9508/616,5044/5731, numerators are 9508,5044
Denominators are 616,5731
The GCF of 9508,5044 is 4 .
LCM of 616,5731 is 320936.
The greatest common factor of 9508/616,5044/5731 = [GCF of 9508,5044]/[LCM of 616,5731]= 4/320936
Therefore, the GCF of 9508/616,5044/5731 is 4/320936.
To find the highest common factor of 9508,5044, we have to find the factors of both numbers and list the highest common factor.
The factors of 9508 are 1, 2, 4, 2377, 4754, 9508
The factors of 5044 are 1, 2, 4, 13, 26, 52, 97, 194, 388, 1261, 2522, 5044
The HCF of 9508,5044 is 4.
Lets's calculate GCF of 9508,5044
| 2 | 9508, 5044 |
| 2 | 4754, 2522 |
| 2377, 1261 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 9508,5044 By Matching Biggest Common Factor Method
Now, list down the factors of 9508
:1,2,4,2377,4754,9508
Now, list down the factors of 5044
:1,2,4,13,26,52,97,194,388,1261,2522,5044
Greatest Common Factor
We found the factors 9508,5044 . The biggest common factor number is the GCF number.
So the greatest common factor 9508,5044 is 4.
Lets's calculate LCM of 616,5731
| 11 | 616, 5731 |
| 56, 521 |
∴ So the LCM of the given numbers is 11 x 56 x 521 = 320936
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/320936
Therefore, the GCF of Fractions 9508/616,5044/5731 is 4/320936
Least Common Multiple of 616,5731 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 616,5731 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(616,5731) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(616,5731) x common factors =11 x 1 = 11
LCM(616,5731) = ( 616 × 5731 ) / 11
LCM(616,5731) = 3530296 / 11
LCM(616,5731) = 320936
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FAQs on GCF of Fractions of 9508/616, 5044/5731
1. What is the HCF of 9508,5044?
The HCF of 9508,5044 is 4
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 9508/616, 5044/5731?
Answer: GCF of Numerators as per given numbers 9508/616, 5044/5731 is
GCF of Numerators i.e. for 9508,5044 is 4
LCM of denominators i.e. for 616,5731 is 320936.
Thus, GCF of Fractions is 4/320936.Finally, GCF of Fractions for 9508/616, 5044/5731 is 4/320936.