GCF of 2646/890, 3438/615
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2646/890, 3438/615 i.e 18/109470 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2646/890, 3438/615.
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 2646/890,3438/615?
Given fractions are 2646/890,3438/615
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 2646/890,3438/615, numerators are 2646,3438
Denominators are 890,615
The GCF of 2646,3438 is 18 .
LCM of 890,615 is 109470.
The greatest common factor of 2646/890,3438/615 = [GCF of 2646,3438]/[LCM of 890,615]= 18/109470
Therefore, the GCF of 2646/890,3438/615 is 18/109470.
To find the highest common factor of 2646,3438, we have to find the factors of both numbers and list the highest common factor.
The factors of 2646 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 49, 54, 63, 98, 126, 147, 189, 294, 378, 441, 882, 1323, 2646
The factors of 3438 are 1, 2, 3, 6, 9, 18, 191, 382, 573, 1146, 1719, 3438
The HCF of 2646,3438 is 18.
Lets's calculate GCF of 2646,3438
| 2 | 2646, 3438 |
| 3 | 1323, 1719 |
| 3 | 441, 573 |
| 147, 191 |
∴ So the GCF of the given numbers is 2 x 3 x 3 = 18
Greatest Common Factor of 2646,3438 By Matching Biggest Common Factor Method
Now, list down the factors of 2646
:1,2,3,6,7,9,14,18,21,27,42,49,54,63,98,126,147,189,294,378,441,882,1323,2646
Now, list down the factors of 3438
:1,2,3,6,9,18,191,382,573,1146,1719,3438
Greatest Common Factor
We found the factors 2646,3438 . The biggest common factor number is the GCF number.
So the greatest common factor 2646,3438 is 18.
Lets's calculate LCM of 890,615
| 5 | 890, 615 |
| 178, 123 |
∴ So the LCM of the given numbers is 5 x 178 x 123 = 109470
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/109470
Therefore, the GCF of Fractions 2646/890,3438/615 is 18/109470
Least Common Multiple of 890,615 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 890,615 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(890,615) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(890,615) x common factors =5 x 1 = 5
LCM(890,615) = ( 890 × 615 ) / 5
LCM(890,615) = 547350 / 5
LCM(890,615) = 109470
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FAQs on GCF of Fractions of 2646/890, 3438/615
1. What is the HCF of 2646,3438?
The HCF of 2646,3438 is 18
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 2646/890, 3438/615?
Answer: GCF of Numerators as per given numbers 2646/890, 3438/615 is
GCF of Numerators i.e. for 2646,3438 is 18
LCM of denominators i.e. for 890,615 is 109470.
Thus, GCF of Fractions is 18/109470.Finally, GCF of Fractions for 2646/890, 3438/615 is 18/109470.