GCF of 6465/108, 6540/701
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6465/108, 6540/701 i.e 15/75708 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6465/108, 6540/701.
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 6465/108,6540/701?
Given fractions are 6465/108,6540/701
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 6465/108,6540/701, numerators are 6465,6540
Denominators are 108,701
The GCF of 6465,6540 is 15 .
LCM of 108,701 is 75708.
The greatest common factor of 6465/108,6540/701 = [GCF of 6465,6540]/[LCM of 108,701]= 15/75708
Therefore, the GCF of 6465/108,6540/701 is 15/75708.
To find the highest common factor of 6465,6540, we have to find the factors of both numbers and list the highest common factor.
The factors of 6465 are 1, 3, 5, 15, 431, 1293, 2155, 6465
The factors of 6540 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 109, 218, 327, 436, 545, 654, 1090, 1308, 1635, 2180, 3270, 6540
The HCF of 6465,6540 is 15.
Lets's calculate GCF of 6465,6540
| 3 | 6465, 6540 |
| 5 | 2155, 2180 |
| 431, 436 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Greatest Common Factor of 6465,6540 By Matching Biggest Common Factor Method
Now, list down the factors of 6465
:1,3,5,15,431,1293,2155,6465
Now, list down the factors of 6540
:1,2,3,4,5,6,10,12,15,20,30,60,109,218,327,436,545,654,1090,1308,1635,2180,3270,6540
Greatest Common Factor
We found the factors 6465,6540 . The biggest common factor number is the GCF number.
So the greatest common factor 6465,6540 is 15.
Lets's calculate LCM of 108,701
Given numbers has no common factors except 1. So, there LCM is their product i.e 75708
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/75708
Therefore, the GCF of Fractions 6465/108,6540/701 is 15/75708
Least Common Multiple of 108,701 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 108,701 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(108,701) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(108,701) x common factors =1 x 1 = 1
LCM(108,701) = ( 108 × 701 ) / 1
LCM(108,701) = 75708 / 1
LCM(108,701) = 75708
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FAQs on GCF of Fractions of 6465/108, 6540/701
1. What is the HCF of 6465,6540?
The HCF of 6465,6540 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 6465/108, 6540/701?
Answer: GCF of Numerators as per given numbers 6465/108, 6540/701 is
GCF of Numerators i.e. for 6465,6540 is 15
LCM of denominators i.e. for 108,701 is 75708.
Thus, GCF of Fractions is 15/75708.Finally, GCF of Fractions for 6465/108, 6540/701 is 15/75708.