GCF of 6650/345, 9510/1482
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6650/345, 9510/1482 i.e 10/170430 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6650/345, 9510/1482.
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 6650/345,9510/1482?
Given fractions are 6650/345,9510/1482
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 6650/345,9510/1482, numerators are 6650,9510
Denominators are 345,1482
The GCF of 6650,9510 is 10 .
LCM of 345,1482 is 170430.
The greatest common factor of 6650/345,9510/1482 = [GCF of 6650,9510]/[LCM of 345,1482]= 10/170430
Therefore, the GCF of 6650/345,9510/1482 is 10/170430.
To find the highest common factor of 6650,9510, we have to find the factors of both numbers and list the highest common factor.
The factors of 6650 are 1, 2, 5, 7, 10, 14, 19, 25, 35, 38, 50, 70, 95, 133, 175, 190, 266, 350, 475, 665, 950, 1330, 3325, 6650
The factors of 9510 are 1, 2, 3, 5, 6, 10, 15, 30, 317, 634, 951, 1585, 1902, 3170, 4755, 9510
The HCF of 6650,9510 is 10.
Lets's calculate GCF of 6650,9510
| 2 | 6650, 9510 |
| 5 | 3325, 4755 |
| 665, 951 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 6650,9510 By Matching Biggest Common Factor Method
Now, list down the factors of 6650
:1,2,5,7,10,14,19,25,35,38,50,70,95,133,175,190,266,350,475,665,950,1330,3325,6650
Now, list down the factors of 9510
:1,2,3,5,6,10,15,30,317,634,951,1585,1902,3170,4755,9510
Greatest Common Factor
We found the factors 6650,9510 . The biggest common factor number is the GCF number.
So the greatest common factor 6650,9510 is 10.
Lets's calculate LCM of 345,1482
| 3 | 345, 1482 |
| 115, 494 |
∴ So the LCM of the given numbers is 3 x 115 x 494 = 170430
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/170430
Therefore, the GCF of Fractions 6650/345,9510/1482 is 10/170430
Least Common Multiple of 345,1482 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 345,1482 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(345,1482) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(345,1482) x common factors =3 x 1 = 3
LCM(345,1482) = ( 345 × 1482 ) / 3
LCM(345,1482) = 511290 / 3
LCM(345,1482) = 170430
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FAQs on GCF of Fractions of 6650/345, 9510/1482
1. What is the HCF of 6650,9510?
The HCF of 6650,9510 is 10
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 6650/345, 9510/1482?
Answer: GCF of Numerators as per given numbers 6650/345, 9510/1482 is
GCF of Numerators i.e. for 6650,9510 is 10
LCM of denominators i.e. for 345,1482 is 170430.
Thus, GCF of Fractions is 10/170430.Finally, GCF of Fractions for 6650/345, 9510/1482 is 10/170430.