GCF of 2412/590, 5654/7692
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2412/590, 5654/7692 i.e 2/2269140 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2412/590, 5654/7692.
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 2412/590,5654/7692?
Given fractions are 2412/590,5654/7692
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 2412/590,5654/7692, numerators are 2412,5654
Denominators are 590,7692
The GCF of 2412,5654 is 2 .
LCM of 590,7692 is 2269140.
The greatest common factor of 2412/590,5654/7692 = [GCF of 2412,5654]/[LCM of 590,7692]= 2/2269140
Therefore, the GCF of 2412/590,5654/7692 is 2/2269140.
To find the highest common factor of 2412,5654, we have to find the factors of both numbers and list the highest common factor.
The factors of 2412 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 67, 134, 201, 268, 402, 603, 804, 1206, 2412
The factors of 5654 are 1, 2, 11, 22, 257, 514, 2827, 5654
The HCF of 2412,5654 is 2.
Lets's calculate GCF of 2412,5654
| 2 | 2412, 5654 |
| 1206, 2827 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2412,5654 By Matching Biggest Common Factor Method
Now, list down the factors of 2412
:1,2,3,4,6,9,12,18,36,67,134,201,268,402,603,804,1206,2412
Now, list down the factors of 5654
:1,2,11,22,257,514,2827,5654
Greatest Common Factor
We found the factors 2412,5654 . The biggest common factor number is the GCF number.
So the greatest common factor 2412,5654 is 2.
Lets's calculate LCM of 590,7692
| 2 | 590, 7692 |
| 295, 3846 |
∴ So the LCM of the given numbers is 2 x 295 x 3846 = 2269140
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2269140
Therefore, the GCF of Fractions 2412/590,5654/7692 is 2/2269140
Least Common Multiple of 590,7692 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 590,7692 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(590,7692) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(590,7692) x common factors =2 x 1 = 2
LCM(590,7692) = ( 590 × 7692 ) / 2
LCM(590,7692) = 4538280 / 2
LCM(590,7692) = 2269140
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FAQs on GCF of Fractions of 2412/590, 5654/7692
1. What is the HCF of 2412,5654?
The HCF of 2412,5654 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 2412/590, 5654/7692?
Answer: GCF of Numerators as per given numbers 2412/590, 5654/7692 is
GCF of Numerators i.e. for 2412,5654 is 2
LCM of denominators i.e. for 590,7692 is 2269140.
Thus, GCF of Fractions is 2/2269140.Finally, GCF of Fractions for 2412/590, 5654/7692 is 2/2269140.