GCF of 9510/274, 9783/4777
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9510/274, 9783/4777 i.e 3/1308898 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9510/274, 9783/4777.
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 9510/274,9783/4777?
Given fractions are 9510/274,9783/4777
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 9510/274,9783/4777, numerators are 9510,9783
Denominators are 274,4777
The GCF of 9510,9783 is 3 .
LCM of 274,4777 is 1308898.
The greatest common factor of 9510/274,9783/4777 = [GCF of 9510,9783]/[LCM of 274,4777]= 3/1308898
Therefore, the GCF of 9510/274,9783/4777 is 3/1308898.
To find the highest common factor of 9510,9783, we have to find the factors of both numbers and list the highest common factor.
The factors of 9510 are 1, 2, 3, 5, 6, 10, 15, 30, 317, 634, 951, 1585, 1902, 3170, 4755, 9510
The factors of 9783 are 1, 3, 9, 1087, 3261, 9783
The HCF of 9510,9783 is 3.
Lets's calculate GCF of 9510,9783
| 3 | 9510, 9783 |
| 3170, 3261 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9510,9783 By Matching Biggest Common Factor Method
Now, list down the factors of 9510
:1,2,3,5,6,10,15,30,317,634,951,1585,1902,3170,4755,9510
Now, list down the factors of 9783
:1,3,9,1087,3261,9783
Greatest Common Factor
We found the factors 9510,9783 . The biggest common factor number is the GCF number.
So the greatest common factor 9510,9783 is 3.
Lets's calculate LCM of 274,4777
Given numbers has no common factors except 1. So, there LCM is their product i.e 1308898
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1308898
Therefore, the GCF of Fractions 9510/274,9783/4777 is 3/1308898
Least Common Multiple of 274,4777 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 274,4777 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(274,4777) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(274,4777) x common factors =1 x 1 = 1
LCM(274,4777) = ( 274 × 4777 ) / 1
LCM(274,4777) = 1308898 / 1
LCM(274,4777) = 1308898
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FAQs on GCF of Fractions of 9510/274, 9783/4777
1. What is the HCF of 9510,9783?
The HCF of 9510,9783 is 3
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 9510/274, 9783/4777?
Answer: GCF of Numerators as per given numbers 9510/274, 9783/4777 is
GCF of Numerators i.e. for 9510,9783 is 3
LCM of denominators i.e. for 274,4777 is 1308898.
Thus, GCF of Fractions is 3/1308898.Finally, GCF of Fractions for 9510/274, 9783/4777 is 3/1308898.