GCF of 1242/266, 4600/2642
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1242/266, 4600/2642 i.e 46/351386 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1242/266, 4600/2642.
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 1242/266,4600/2642?
Given fractions are 1242/266,4600/2642
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 1242/266,4600/2642, numerators are 1242,4600
Denominators are 266,2642
The GCF of 1242,4600 is 46 .
LCM of 266,2642 is 351386.
The greatest common factor of 1242/266,4600/2642 = [GCF of 1242,4600]/[LCM of 266,2642]= 46/351386
Therefore, the GCF of 1242/266,4600/2642 is 46/351386.
To find the highest common factor of 1242,4600, we have to find the factors of both numbers and list the highest common factor.
The factors of 1242 are 1, 2, 3, 6, 9, 18, 23, 27, 46, 54, 69, 138, 207, 414, 621, 1242
The factors of 4600 are 1, 2, 4, 5, 8, 10, 20, 23, 25, 40, 46, 50, 92, 100, 115, 184, 200, 230, 460, 575, 920, 1150, 2300, 4600
The HCF of 1242,4600 is 46.
Lets's calculate GCF of 1242,4600
| 2 | 1242, 4600 |
| 23 | 621, 2300 |
| 27, 100 |
∴ So the GCF of the given numbers is 2 x 23 = 46
Greatest Common Factor of 1242,4600 By Matching Biggest Common Factor Method
Now, list down the factors of 1242
:1,2,3,6,9,18,23,27,46,54,69,138,207,414,621,1242
Now, list down the factors of 4600
:1,2,4,5,8,10,20,23,25,40,46,50,92,100,115,184,200,230,460,575,920,1150,2300,4600
Greatest Common Factor
We found the factors 1242,4600 . The biggest common factor number is the GCF number.
So the greatest common factor 1242,4600 is 46.
Lets's calculate LCM of 266,2642
| 2 | 266, 2642 |
| 133, 1321 |
∴ So the LCM of the given numbers is 2 x 133 x 1321 = 351386
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 46/351386
Therefore, the GCF of Fractions 1242/266,4600/2642 is 46/351386
Least Common Multiple of 266,2642 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 266,2642 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(266,2642) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(266,2642) x common factors =2 x 1 = 2
LCM(266,2642) = ( 266 × 2642 ) / 2
LCM(266,2642) = 702772 / 2
LCM(266,2642) = 351386
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FAQs on GCF of Fractions of 1242/266, 4600/2642
1. What is the HCF of 1242,4600?
The HCF of 1242,4600 is 46
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 1242/266, 4600/2642?
Answer: GCF of Numerators as per given numbers 1242/266, 4600/2642 is
GCF of Numerators i.e. for 1242,4600 is 46
LCM of denominators i.e. for 266,2642 is 351386.
Thus, GCF of Fractions is 46/351386.Finally, GCF of Fractions for 1242/266, 4600/2642 is 46/351386.