GCF of 4246/841, 3456/9426
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4246/841, 3456/9426 i.e 2/7927266 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4246/841, 3456/9426.
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 4246/841,3456/9426?
Given fractions are 4246/841,3456/9426
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 4246/841,3456/9426, numerators are 4246,3456
Denominators are 841,9426
The GCF of 4246,3456 is 2 .
LCM of 841,9426 is 7927266.
The greatest common factor of 4246/841,3456/9426 = [GCF of 4246,3456]/[LCM of 841,9426]= 2/7927266
Therefore, the GCF of 4246/841,3456/9426 is 2/7927266.
To find the highest common factor of 4246,3456, we have to find the factors of both numbers and list the highest common factor.
The factors of 4246 are 1, 2, 11, 22, 193, 386, 2123, 4246
The factors of 3456 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 64, 72, 96, 108, 128, 144, 192, 216, 288, 384, 432, 576, 864, 1152, 1728, 3456
The HCF of 4246,3456 is 2.
Lets's calculate GCF of 4246,3456
| 2 | 4246, 3456 |
| 2123, 1728 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4246,3456 By Matching Biggest Common Factor Method
Now, list down the factors of 4246
:1,2,11,22,193,386,2123,4246
Now, list down the factors of 3456
:1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,64,72,96,108,128,144,192,216,288,384,432,576,864,1152,1728,3456
Greatest Common Factor
We found the factors 4246,3456 . The biggest common factor number is the GCF number.
So the greatest common factor 4246,3456 is 2.
Lets's calculate LCM of 841,9426
Given numbers has no common factors except 1. So, there LCM is their product i.e 7927266
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/7927266
Therefore, the GCF of Fractions 4246/841,3456/9426 is 2/7927266
Least Common Multiple of 841,9426 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 841,9426 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(841,9426) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(841,9426) x common factors =1 x 1 = 1
LCM(841,9426) = ( 841 × 9426 ) / 1
LCM(841,9426) = 7927266 / 1
LCM(841,9426) = 7927266
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FAQs on GCF of Fractions of 4246/841, 3456/9426
1. What is the HCF of 4246,3456?
The HCF of 4246,3456 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 4246/841, 3456/9426?
Answer: GCF of Numerators as per given numbers 4246/841, 3456/9426 is
GCF of Numerators i.e. for 4246,3456 is 2
LCM of denominators i.e. for 841,9426 is 7927266.
Thus, GCF of Fractions is 2/7927266.Finally, GCF of Fractions for 4246/841, 3456/9426 is 2/7927266.