GCF of 5830/627, 9702/332
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5830/627, 9702/332 i.e 22/208164 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5830/627, 9702/332.
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 5830/627,9702/332?
Given fractions are 5830/627,9702/332
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 5830/627,9702/332, numerators are 5830,9702
Denominators are 627,332
The GCF of 5830,9702 is 22 .
LCM of 627,332 is 208164.
The greatest common factor of 5830/627,9702/332 = [GCF of 5830,9702]/[LCM of 627,332]= 22/208164
Therefore, the GCF of 5830/627,9702/332 is 22/208164.
To find the highest common factor of 5830,9702, we have to find the factors of both numbers and list the highest common factor.
The factors of 5830 are 1, 2, 5, 10, 11, 22, 53, 55, 106, 110, 265, 530, 583, 1166, 2915, 5830
The factors of 9702 are 1, 2, 3, 6, 7, 9, 11, 14, 18, 21, 22, 33, 42, 49, 63, 66, 77, 98, 99, 126, 147, 154, 198, 231, 294, 441, 462, 539, 693, 882, 1078, 1386, 1617, 3234, 4851, 9702
The HCF of 5830,9702 is 22.
Lets's calculate GCF of 5830,9702
| 2 | 5830, 9702 |
| 11 | 2915, 4851 |
| 265, 441 |
∴ So the GCF of the given numbers is 2 x 11 = 22
Greatest Common Factor of 5830,9702 By Matching Biggest Common Factor Method
Now, list down the factors of 5830
:1,2,5,10,11,22,53,55,106,110,265,530,583,1166,2915,5830
Now, list down the factors of 9702
:1,2,3,6,7,9,11,14,18,21,22,33,42,49,63,66,77,98,99,126,147,154,198,231,294,441,462,539,693,882,1078,1386,1617,3234,4851,9702
Greatest Common Factor
We found the factors 5830,9702 . The biggest common factor number is the GCF number.
So the greatest common factor 5830,9702 is 22.
Lets's calculate LCM of 627,332
Given numbers has no common factors except 1. So, there LCM is their product i.e 208164
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/208164
Therefore, the GCF of Fractions 5830/627,9702/332 is 22/208164
Least Common Multiple of 627,332 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 627,332 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(627,332) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(627,332) x common factors =1 x 1 = 1
LCM(627,332) = ( 627 × 332 ) / 1
LCM(627,332) = 208164 / 1
LCM(627,332) = 208164
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FAQs on GCF of Fractions of 5830/627, 9702/332
1. What is the HCF of 5830,9702?
The HCF of 5830,9702 is 22
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 5830/627, 9702/332?
Answer: GCF of Numerators as per given numbers 5830/627, 9702/332 is
GCF of Numerators i.e. for 5830,9702 is 22
LCM of denominators i.e. for 627,332 is 208164.
Thus, GCF of Fractions is 22/208164.Finally, GCF of Fractions for 5830/627, 9702/332 is 22/208164.