GCF of 1035/654, 6510/622
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1035/654, 6510/622 i.e 15/203394 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1035/654, 6510/622.
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 1035/654,6510/622?
Given fractions are 1035/654,6510/622
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 1035/654,6510/622, numerators are 1035,6510
Denominators are 654,622
The GCF of 1035,6510 is 15 .
LCM of 654,622 is 203394.
The greatest common factor of 1035/654,6510/622 = [GCF of 1035,6510]/[LCM of 654,622]= 15/203394
Therefore, the GCF of 1035/654,6510/622 is 15/203394.
To find the highest common factor of 1035,6510, we have to find the factors of both numbers and list the highest common factor.
The factors of 1035 are 1, 3, 5, 9, 15, 23, 45, 69, 115, 207, 345, 1035
The factors of 6510 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 31, 35, 42, 62, 70, 93, 105, 155, 186, 210, 217, 310, 434, 465, 651, 930, 1085, 1302, 2170, 3255, 6510
The HCF of 1035,6510 is 15.
Lets's calculate GCF of 1035,6510
| 3 | 1035, 6510 |
| 5 | 345, 2170 |
| 69, 434 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Greatest Common Factor of 1035,6510 By Matching Biggest Common Factor Method
Now, list down the factors of 1035
:1,3,5,9,15,23,45,69,115,207,345,1035
Now, list down the factors of 6510
:1,2,3,5,6,7,10,14,15,21,30,31,35,42,62,70,93,105,155,186,210,217,310,434,465,651,930,1085,1302,2170,3255,6510
Greatest Common Factor
We found the factors 1035,6510 . The biggest common factor number is the GCF number.
So the greatest common factor 1035,6510 is 15.
Lets's calculate LCM of 654,622
| 2 | 654, 622 |
| 327, 311 |
∴ So the LCM of the given numbers is 2 x 327 x 311 = 203394
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/203394
Therefore, the GCF of Fractions 1035/654,6510/622 is 15/203394
Least Common Multiple of 654,622 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 654,622 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(654,622) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(654,622) x common factors =2 x 1 = 2
LCM(654,622) = ( 654 × 622 ) / 2
LCM(654,622) = 406788 / 2
LCM(654,622) = 203394
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FAQs on GCF of Fractions of 1035/654, 6510/622
1. What is the HCF of 1035,6510?
The HCF of 1035,6510 is 15
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 1035/654, 6510/622?
Answer: GCF of Numerators as per given numbers 1035/654, 6510/622 is
GCF of Numerators i.e. for 1035,6510 is 15
LCM of denominators i.e. for 654,622 is 203394.
Thus, GCF of Fractions is 15/203394.Finally, GCF of Fractions for 1035/654, 6510/622 is 15/203394.