GCF of 9586/841, 5140/3538
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9586/841, 5140/3538 i.e 2/102602 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9586/841, 5140/3538.
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 9586/841,5140/3538?
Given fractions are 9586/841,5140/3538
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 9586/841,5140/3538, numerators are 9586,5140
Denominators are 841,3538
The GCF of 9586,5140 is 2 .
LCM of 841,3538 is 102602.
The greatest common factor of 9586/841,5140/3538 = [GCF of 9586,5140]/[LCM of 841,3538]= 2/102602
Therefore, the GCF of 9586/841,5140/3538 is 2/102602.
To find the highest common factor of 9586,5140, we have to find the factors of both numbers and list the highest common factor.
The factors of 9586 are 1, 2, 4793, 9586
The factors of 5140 are 1, 2, 4, 5, 10, 20, 257, 514, 1028, 1285, 2570, 5140
The HCF of 9586,5140 is 2.
Lets's calculate GCF of 9586,5140
| 2 | 9586, 5140 |
| 4793, 2570 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9586,5140 By Matching Biggest Common Factor Method
Now, list down the factors of 9586
:1,2,4793,9586
Now, list down the factors of 5140
:1,2,4,5,10,20,257,514,1028,1285,2570,5140
Greatest Common Factor
We found the factors 9586,5140 . The biggest common factor number is the GCF number.
So the greatest common factor 9586,5140 is 2.
Lets's calculate LCM of 841,3538
| 29 | 841, 3538 |
| 29, 122 |
∴ So the LCM of the given numbers is 29 x 29 x 122 = 102602
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/102602
Therefore, the GCF of Fractions 9586/841,5140/3538 is 2/102602
Least Common Multiple of 841,3538 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 841,3538 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(841,3538) = 29
common factors(in case of two or more numbers have common factors) = 1
GCF(841,3538) x common factors =29 x 1 = 29
LCM(841,3538) = ( 841 × 3538 ) / 29
LCM(841,3538) = 2975458 / 29
LCM(841,3538) = 102602
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FAQs on GCF of Fractions of 9586/841, 5140/3538
1. What is the HCF of 9586,5140?
The HCF of 9586,5140 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 9586/841, 5140/3538?
Answer: GCF of Numerators as per given numbers 9586/841, 5140/3538 is
GCF of Numerators i.e. for 9586,5140 is 2
LCM of denominators i.e. for 841,3538 is 102602.
Thus, GCF of Fractions is 2/102602.Finally, GCF of Fractions for 9586/841, 5140/3538 is 2/102602.