GCF of 1242/769, 3256/9828
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1242/769, 3256/9828 i.e 2/7557732 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1242/769, 3256/9828.
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 1242/769,3256/9828?
Given fractions are 1242/769,3256/9828
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 1242/769,3256/9828, numerators are 1242,3256
Denominators are 769,9828
The GCF of 1242,3256 is 2 .
LCM of 769,9828 is 7557732.
The greatest common factor of 1242/769,3256/9828 = [GCF of 1242,3256]/[LCM of 769,9828]= 2/7557732
Therefore, the GCF of 1242/769,3256/9828 is 2/7557732.
To find the highest common factor of 1242,3256, 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 3256 are 1, 2, 4, 8, 11, 22, 37, 44, 74, 88, 148, 296, 407, 814, 1628, 3256
The HCF of 1242,3256 is 2.
Lets's calculate GCF of 1242,3256
| 2 | 1242, 3256 |
| 621, 1628 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1242,3256 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 3256
:1,2,4,8,11,22,37,44,74,88,148,296,407,814,1628,3256
Greatest Common Factor
We found the factors 1242,3256 . The biggest common factor number is the GCF number.
So the greatest common factor 1242,3256 is 2.
Lets's calculate LCM of 769,9828
Given numbers has no common factors except 1. So, there LCM is their product i.e 7557732
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/7557732
Therefore, the GCF of Fractions 1242/769,3256/9828 is 2/7557732
Least Common Multiple of 769,9828 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 769,9828 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(769,9828) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(769,9828) x common factors =1 x 1 = 1
LCM(769,9828) = ( 769 × 9828 ) / 1
LCM(769,9828) = 7557732 / 1
LCM(769,9828) = 7557732
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FAQs on GCF of Fractions of 1242/769, 3256/9828
1. What is the HCF of 1242,3256?
The HCF of 1242,3256 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 1242/769, 3256/9828?
Answer: GCF of Numerators as per given numbers 1242/769, 3256/9828 is
GCF of Numerators i.e. for 1242,3256 is 2
LCM of denominators i.e. for 769,9828 is 7557732.
Thus, GCF of Fractions is 2/7557732.Finally, GCF of Fractions for 1242/769, 3256/9828 is 2/7557732.