GCF of 6898/216, 6944/893
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6898/216, 6944/893 i.e 2/192888 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6898/216, 6944/893.
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 6898/216,6944/893?
Given fractions are 6898/216,6944/893
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 6898/216,6944/893, numerators are 6898,6944
Denominators are 216,893
The GCF of 6898,6944 is 2 .
LCM of 216,893 is 192888.
The greatest common factor of 6898/216,6944/893 = [GCF of 6898,6944]/[LCM of 216,893]= 2/192888
Therefore, the GCF of 6898/216,6944/893 is 2/192888.
To find the highest common factor of 6898,6944, we have to find the factors of both numbers and list the highest common factor.
The factors of 6898 are 1, 2, 3449, 6898
The factors of 6944 are 1, 2, 4, 7, 8, 14, 16, 28, 31, 32, 56, 62, 112, 124, 217, 224, 248, 434, 496, 868, 992, 1736, 3472, 6944
The HCF of 6898,6944 is 2.
Lets's calculate GCF of 6898,6944
| 2 | 6898, 6944 |
| 3449, 3472 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6898,6944 By Matching Biggest Common Factor Method
Now, list down the factors of 6898
:1,2,3449,6898
Now, list down the factors of 6944
:1,2,4,7,8,14,16,28,31,32,56,62,112,124,217,224,248,434,496,868,992,1736,3472,6944
Greatest Common Factor
We found the factors 6898,6944 . The biggest common factor number is the GCF number.
So the greatest common factor 6898,6944 is 2.
Lets's calculate LCM of 216,893
Given numbers has no common factors except 1. So, there LCM is their product i.e 192888
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/192888
Therefore, the GCF of Fractions 6898/216,6944/893 is 2/192888
Least Common Multiple of 216,893 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 216,893 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(216,893) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(216,893) x common factors =1 x 1 = 1
LCM(216,893) = ( 216 × 893 ) / 1
LCM(216,893) = 192888 / 1
LCM(216,893) = 192888
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FAQs on GCF of Fractions of 6898/216, 6944/893
1. What is the HCF of 6898,6944?
The HCF of 6898,6944 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 6898/216, 6944/893?
Answer: GCF of Numerators as per given numbers 6898/216, 6944/893 is
GCF of Numerators i.e. for 6898,6944 is 2
LCM of denominators i.e. for 216,893 is 192888.
Thus, GCF of Fractions is 2/192888.Finally, GCF of Fractions for 6898/216, 6944/893 is 2/192888.