GCF of 6868/738, 4746/2068
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6868/738, 4746/2068 i.e 2/763092 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6868/738, 4746/2068.
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 6868/738,4746/2068?
Given fractions are 6868/738,4746/2068
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 6868/738,4746/2068, numerators are 6868,4746
Denominators are 738,2068
The GCF of 6868,4746 is 2 .
LCM of 738,2068 is 763092.
The greatest common factor of 6868/738,4746/2068 = [GCF of 6868,4746]/[LCM of 738,2068]= 2/763092
Therefore, the GCF of 6868/738,4746/2068 is 2/763092.
To find the highest common factor of 6868,4746, we have to find the factors of both numbers and list the highest common factor.
The factors of 6868 are 1, 2, 4, 17, 34, 68, 101, 202, 404, 1717, 3434, 6868
The factors of 4746 are 1, 2, 3, 6, 7, 14, 21, 42, 113, 226, 339, 678, 791, 1582, 2373, 4746
The HCF of 6868,4746 is 2.
Lets's calculate GCF of 6868,4746
| 2 | 6868, 4746 |
| 3434, 2373 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6868,4746 By Matching Biggest Common Factor Method
Now, list down the factors of 6868
:1,2,4,17,34,68,101,202,404,1717,3434,6868
Now, list down the factors of 4746
:1,2,3,6,7,14,21,42,113,226,339,678,791,1582,2373,4746
Greatest Common Factor
We found the factors 6868,4746 . The biggest common factor number is the GCF number.
So the greatest common factor 6868,4746 is 2.
Lets's calculate LCM of 738,2068
| 2 | 738, 2068 |
| 369, 1034 |
∴ So the LCM of the given numbers is 2 x 369 x 1034 = 763092
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/763092
Therefore, the GCF of Fractions 6868/738,4746/2068 is 2/763092
Least Common Multiple of 738,2068 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 738,2068 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(738,2068) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(738,2068) x common factors =2 x 1 = 2
LCM(738,2068) = ( 738 × 2068 ) / 2
LCM(738,2068) = 1526184 / 2
LCM(738,2068) = 763092
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FAQs on GCF of Fractions of 6868/738, 4746/2068
1. What is the HCF of 6868,4746?
The HCF of 6868,4746 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 6868/738, 4746/2068?
Answer: GCF of Numerators as per given numbers 6868/738, 4746/2068 is
GCF of Numerators i.e. for 6868,4746 is 2
LCM of denominators i.e. for 738,2068 is 763092.
Thus, GCF of Fractions is 2/763092.Finally, GCF of Fractions for 6868/738, 4746/2068 is 2/763092.