GCF of 9842/616, 3576/812
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9842/616, 3576/812 i.e 2/17864 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9842/616, 3576/812.
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 9842/616,3576/812?
Given fractions are 9842/616,3576/812
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 9842/616,3576/812, numerators are 9842,3576
Denominators are 616,812
The GCF of 9842,3576 is 2 .
LCM of 616,812 is 17864.
The greatest common factor of 9842/616,3576/812 = [GCF of 9842,3576]/[LCM of 616,812]= 2/17864
Therefore, the GCF of 9842/616,3576/812 is 2/17864.
To find the highest common factor of 9842,3576, we have to find the factors of both numbers and list the highest common factor.
The factors of 9842 are 1, 2, 7, 14, 19, 37, 38, 74, 133, 259, 266, 518, 703, 1406, 4921, 9842
The factors of 3576 are 1, 2, 3, 4, 6, 8, 12, 24, 149, 298, 447, 596, 894, 1192, 1788, 3576
The HCF of 9842,3576 is 2.
Lets's calculate GCF of 9842,3576
| 2 | 9842, 3576 |
| 4921, 1788 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9842,3576 By Matching Biggest Common Factor Method
Now, list down the factors of 9842
:1,2,7,14,19,37,38,74,133,259,266,518,703,1406,4921,9842
Now, list down the factors of 3576
:1,2,3,4,6,8,12,24,149,298,447,596,894,1192,1788,3576
Greatest Common Factor
We found the factors 9842,3576 . The biggest common factor number is the GCF number.
So the greatest common factor 9842,3576 is 2.
Lets's calculate LCM of 616,812
| 2 | 616, 812 |
| 2 | 308, 406 |
| 7 | 154, 203 |
| 22, 29 |
∴ So the LCM of the given numbers is 2 x 2 x 7 x 22 x 29 = 17864
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/17864
Therefore, the GCF of Fractions 9842/616,3576/812 is 2/17864
Least Common Multiple of 616,812 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 616,812 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(616,812) = 28
common factors(in case of two or more numbers have common factors) = 1
GCF(616,812) x common factors =28 x 1 = 28
LCM(616,812) = ( 616 × 812 ) / 28
LCM(616,812) = 500192 / 28
LCM(616,812) = 17864
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FAQs on GCF of Fractions of 9842/616, 3576/812
1. What is the HCF of 9842,3576?
The HCF of 9842,3576 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 9842/616, 3576/812?
Answer: GCF of Numerators as per given numbers 9842/616, 3576/812 is
GCF of Numerators i.e. for 9842,3576 is 2
LCM of denominators i.e. for 616,812 is 17864.
Thus, GCF of Fractions is 2/17864.Finally, GCF of Fractions for 9842/616, 3576/812 is 2/17864.