GCF of 6360/123, 9788/4786
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6360/123, 9788/4786 i.e 4/588678 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6360/123, 9788/4786.
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 6360/123,9788/4786?
Given fractions are 6360/123,9788/4786
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 6360/123,9788/4786, numerators are 6360,9788
Denominators are 123,4786
The GCF of 6360,9788 is 4 .
LCM of 123,4786 is 588678.
The greatest common factor of 6360/123,9788/4786 = [GCF of 6360,9788]/[LCM of 123,4786]= 4/588678
Therefore, the GCF of 6360/123,9788/4786 is 4/588678.
To find the highest common factor of 6360,9788, we have to find the factors of both numbers and list the highest common factor.
The factors of 6360 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 53, 60, 106, 120, 159, 212, 265, 318, 424, 530, 636, 795, 1060, 1272, 1590, 2120, 3180, 6360
The factors of 9788 are 1, 2, 4, 2447, 4894, 9788
The HCF of 6360,9788 is 4.
Lets's calculate GCF of 6360,9788
| 2 | 6360, 9788 |
| 2 | 3180, 4894 |
| 1590, 2447 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 6360,9788 By Matching Biggest Common Factor Method
Now, list down the factors of 6360
:1,2,3,4,5,6,8,10,12,15,20,24,30,40,53,60,106,120,159,212,265,318,424,530,636,795,1060,1272,1590,2120,3180,6360
Now, list down the factors of 9788
:1,2,4,2447,4894,9788
Greatest Common Factor
We found the factors 6360,9788 . The biggest common factor number is the GCF number.
So the greatest common factor 6360,9788 is 4.
Lets's calculate LCM of 123,4786
Given numbers has no common factors except 1. So, there LCM is their product i.e 588678
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/588678
Therefore, the GCF of Fractions 6360/123,9788/4786 is 4/588678
Least Common Multiple of 123,4786 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 123,4786 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(123,4786) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(123,4786) x common factors =1 x 1 = 1
LCM(123,4786) = ( 123 × 4786 ) / 1
LCM(123,4786) = 588678 / 1
LCM(123,4786) = 588678
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FAQs on GCF of Fractions of 6360/123, 9788/4786
1. What is the HCF of 6360,9788?
The HCF of 6360,9788 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 6360/123, 9788/4786?
Answer: GCF of Numerators as per given numbers 6360/123, 9788/4786 is
GCF of Numerators i.e. for 6360,9788 is 4
LCM of denominators i.e. for 123,4786 is 588678.
Thus, GCF of Fractions is 4/588678.Finally, GCF of Fractions for 6360/123, 9788/4786 is 4/588678.