GCF of 6896/868, 3364/5234
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6896/868, 3364/5234 i.e 4/2271556 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6896/868, 3364/5234.
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 6896/868,3364/5234?
Given fractions are 6896/868,3364/5234
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 6896/868,3364/5234, numerators are 6896,3364
Denominators are 868,5234
The GCF of 6896,3364 is 4 .
LCM of 868,5234 is 2271556.
The greatest common factor of 6896/868,3364/5234 = [GCF of 6896,3364]/[LCM of 868,5234]= 4/2271556
Therefore, the GCF of 6896/868,3364/5234 is 4/2271556.
To find the highest common factor of 6896,3364, we have to find the factors of both numbers and list the highest common factor.
The factors of 6896 are 1, 2, 4, 8, 16, 431, 862, 1724, 3448, 6896
The factors of 3364 are 1, 2, 4, 29, 58, 116, 841, 1682, 3364
The HCF of 6896,3364 is 4.
Lets's calculate GCF of 6896,3364
| 2 | 6896, 3364 |
| 2 | 3448, 1682 |
| 1724, 841 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 6896,3364 By Matching Biggest Common Factor Method
Now, list down the factors of 6896
:1,2,4,8,16,431,862,1724,3448,6896
Now, list down the factors of 3364
:1,2,4,29,58,116,841,1682,3364
Greatest Common Factor
We found the factors 6896,3364 . The biggest common factor number is the GCF number.
So the greatest common factor 6896,3364 is 4.
Lets's calculate LCM of 868,5234
| 2 | 868, 5234 |
| 434, 2617 |
∴ So the LCM of the given numbers is 2 x 434 x 2617 = 2271556
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/2271556
Therefore, the GCF of Fractions 6896/868,3364/5234 is 4/2271556
Least Common Multiple of 868,5234 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 868,5234 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(868,5234) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(868,5234) x common factors =2 x 1 = 2
LCM(868,5234) = ( 868 × 5234 ) / 2
LCM(868,5234) = 4543112 / 2
LCM(868,5234) = 2271556
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FAQs on GCF of Fractions of 6896/868, 3364/5234
1. What is the HCF of 6896,3364?
The HCF of 6896,3364 is 4
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 6896/868, 3364/5234?
Answer: GCF of Numerators as per given numbers 6896/868, 3364/5234 is
GCF of Numerators i.e. for 6896,3364 is 4
LCM of denominators i.e. for 868,5234 is 2271556.
Thus, GCF of Fractions is 4/2271556.Finally, GCF of Fractions for 6896/868, 3364/5234 is 4/2271556.