GCF of 8734/228, 3456/682
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8734/228, 3456/682 i.e 2/77748 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8734/228, 3456/682.
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 8734/228,3456/682?
Given fractions are 8734/228,3456/682
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 8734/228,3456/682, numerators are 8734,3456
Denominators are 228,682
The GCF of 8734,3456 is 2 .
LCM of 228,682 is 77748.
The greatest common factor of 8734/228,3456/682 = [GCF of 8734,3456]/[LCM of 228,682]= 2/77748
Therefore, the GCF of 8734/228,3456/682 is 2/77748.
To find the highest common factor of 8734,3456, we have to find the factors of both numbers and list the highest common factor.
The factors of 8734 are 1, 2, 11, 22, 397, 794, 4367, 8734
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 8734,3456 is 2.
Lets's calculate GCF of 8734,3456
| 2 | 8734, 3456 |
| 4367, 1728 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8734,3456 By Matching Biggest Common Factor Method
Now, list down the factors of 8734
:1,2,11,22,397,794,4367,8734
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 8734,3456 . The biggest common factor number is the GCF number.
So the greatest common factor 8734,3456 is 2.
Lets's calculate LCM of 228,682
| 2 | 228, 682 |
| 114, 341 |
∴ So the LCM of the given numbers is 2 x 114 x 341 = 77748
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/77748
Therefore, the GCF of Fractions 8734/228,3456/682 is 2/77748
Least Common Multiple of 228,682 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 228,682 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(228,682) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(228,682) x common factors =2 x 1 = 2
LCM(228,682) = ( 228 × 682 ) / 2
LCM(228,682) = 155496 / 2
LCM(228,682) = 77748
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FAQs on GCF of Fractions of 8734/228, 3456/682
1. What is the HCF of 8734,3456?
The HCF of 8734,3456 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 8734/228, 3456/682?
Answer: GCF of Numerators as per given numbers 8734/228, 3456/682 is
GCF of Numerators i.e. for 8734,3456 is 2
LCM of denominators i.e. for 228,682 is 77748.
Thus, GCF of Fractions is 2/77748.Finally, GCF of Fractions for 8734/228, 3456/682 is 2/77748.