GCF of 6216/270, 7654/3150
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6216/270, 7654/3150 i.e 2/9450 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6216/270, 7654/3150.
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 6216/270,7654/3150?
Given fractions are 6216/270,7654/3150
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 6216/270,7654/3150, numerators are 6216,7654
Denominators are 270,3150
The GCF of 6216,7654 is 2 .
LCM of 270,3150 is 9450.
The greatest common factor of 6216/270,7654/3150 = [GCF of 6216,7654]/[LCM of 270,3150]= 2/9450
Therefore, the GCF of 6216/270,7654/3150 is 2/9450.
To find the highest common factor of 6216,7654, we have to find the factors of both numbers and list the highest common factor.
The factors of 6216 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 37, 42, 56, 74, 84, 111, 148, 168, 222, 259, 296, 444, 518, 777, 888, 1036, 1554, 2072, 3108, 6216
The factors of 7654 are 1, 2, 43, 86, 89, 178, 3827, 7654
The HCF of 6216,7654 is 2.
Lets's calculate GCF of 6216,7654
| 2 | 6216, 7654 |
| 3108, 3827 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6216,7654 By Matching Biggest Common Factor Method
Now, list down the factors of 6216
:1,2,3,4,6,7,8,12,14,21,24,28,37,42,56,74,84,111,148,168,222,259,296,444,518,777,888,1036,1554,2072,3108,6216
Now, list down the factors of 7654
:1,2,43,86,89,178,3827,7654
Greatest Common Factor
We found the factors 6216,7654 . The biggest common factor number is the GCF number.
So the greatest common factor 6216,7654 is 2.
Lets's calculate LCM of 270,3150
| 2 | 270, 3150 |
| 3 | 135, 1575 |
| 3 | 45, 525 |
| 5 | 15, 175 |
| 3, 35 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 3 x 35 = 9450
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/9450
Therefore, the GCF of Fractions 6216/270,7654/3150 is 2/9450
Least Common Multiple of 270,3150 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 270,3150 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(270,3150) = 90
common factors(in case of two or more numbers have common factors) = 1
GCF(270,3150) x common factors =90 x 1 = 90
LCM(270,3150) = ( 270 × 3150 ) / 90
LCM(270,3150) = 850500 / 90
LCM(270,3150) = 9450
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FAQs on GCF of Fractions of 6216/270, 7654/3150
1. What is the HCF of 6216,7654?
The HCF of 6216,7654 is 2
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 6216/270, 7654/3150?
Answer: GCF of Numerators as per given numbers 6216/270, 7654/3150 is
GCF of Numerators i.e. for 6216,7654 is 2
LCM of denominators i.e. for 270,3150 is 9450.
Thus, GCF of Fractions is 2/9450.Finally, GCF of Fractions for 6216/270, 7654/3150 is 2/9450.