GCF of 6856/438, 3466/1014
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6856/438, 3466/1014 i.e 2/74022 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6856/438, 3466/1014.
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 6856/438,3466/1014?
Given fractions are 6856/438,3466/1014
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 6856/438,3466/1014, numerators are 6856,3466
Denominators are 438,1014
The GCF of 6856,3466 is 2 .
LCM of 438,1014 is 74022.
The greatest common factor of 6856/438,3466/1014 = [GCF of 6856,3466]/[LCM of 438,1014]= 2/74022
Therefore, the GCF of 6856/438,3466/1014 is 2/74022.
To find the highest common factor of 6856,3466, we have to find the factors of both numbers and list the highest common factor.
The factors of 6856 are 1, 2, 4, 8, 857, 1714, 3428, 6856
The factors of 3466 are 1, 2, 1733, 3466
The HCF of 6856,3466 is 2.
Lets's calculate GCF of 6856,3466
| 2 | 6856, 3466 |
| 3428, 1733 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6856,3466 By Matching Biggest Common Factor Method
Now, list down the factors of 6856
:1,2,4,8,857,1714,3428,6856
Now, list down the factors of 3466
:1,2,1733,3466
Greatest Common Factor
We found the factors 6856,3466 . The biggest common factor number is the GCF number.
So the greatest common factor 6856,3466 is 2.
Lets's calculate LCM of 438,1014
| 2 | 438, 1014 |
| 3 | 219, 507 |
| 73, 169 |
∴ So the LCM of the given numbers is 2 x 3 x 73 x 169 = 74022
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/74022
Therefore, the GCF of Fractions 6856/438,3466/1014 is 2/74022
Least Common Multiple of 438,1014 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 438,1014 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(438,1014) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(438,1014) x common factors =6 x 1 = 6
LCM(438,1014) = ( 438 × 1014 ) / 6
LCM(438,1014) = 444132 / 6
LCM(438,1014) = 74022
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FAQs on GCF of Fractions of 6856/438, 3466/1014
1. What is the HCF of 6856,3466?
The HCF of 6856,3466 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 6856/438, 3466/1014?
Answer: GCF of Numerators as per given numbers 6856/438, 3466/1014 is
GCF of Numerators i.e. for 6856,3466 is 2
LCM of denominators i.e. for 438,1014 is 74022.
Thus, GCF of Fractions is 2/74022.Finally, GCF of Fractions for 6856/438, 3466/1014 is 2/74022.