GCF of 6968/294, 4895/9606
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6968/294, 4895/9606 i.e 1/470694 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6968/294, 4895/9606.
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 6968/294,4895/9606?
Given fractions are 6968/294,4895/9606
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 6968/294,4895/9606, numerators are 6968,4895
Denominators are 294,9606
The GCF of 6968,4895 is 1 .
LCM of 294,9606 is 470694.
The greatest common factor of 6968/294,4895/9606 = [GCF of 6968,4895]/[LCM of 294,9606]= 1/470694
Therefore, the GCF of 6968/294,4895/9606 is 1/470694.
To find the highest common factor of 6968,4895, we have to find the factors of both numbers and list the highest common factor.
The factors of 6968 are 1, 2, 4, 8, 13, 26, 52, 67, 104, 134, 268, 536, 871, 1742, 3484, 6968
The factors of 4895 are 1, 5, 11, 55, 89, 445, 979, 4895
The HCF of 6968,4895 is 1.
Lets's calculate GCF of 6968,4895
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6968,4895 By Matching Biggest Common Factor Method
Now, list down the factors of 6968
:1,2,4,8,13,26,52,67,104,134,268,536,871,1742,3484,6968
Now, list down the factors of 4895
:1,5,11,55,89,445,979,4895
Greatest Common Factor
We found the factors 6968,4895 . The biggest common factor number is the GCF number.
So the greatest common factor 6968,4895 is 1.
Lets's calculate LCM of 294,9606
| 2 | 294, 9606 |
| 3 | 147, 4803 |
| 49, 1601 |
∴ So the LCM of the given numbers is 2 x 3 x 49 x 1601 = 470694
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/470694
Therefore, the GCF of Fractions 6968/294,4895/9606 is 1/470694
Least Common Multiple of 294,9606 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 294,9606 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(294,9606) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(294,9606) x common factors =6 x 1 = 6
LCM(294,9606) = ( 294 × 9606 ) / 6
LCM(294,9606) = 2824164 / 6
LCM(294,9606) = 470694
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FAQs on GCF of Fractions of 6968/294, 4895/9606
1. What is the HCF of 6968,4895?
The HCF of 6968,4895 is 1
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 6968/294, 4895/9606?
Answer: GCF of Numerators as per given numbers 6968/294, 4895/9606 is
GCF of Numerators i.e. for 6968,4895 is 1
LCM of denominators i.e. for 294,9606 is 470694.
Thus, GCF of Fractions is 1/470694.Finally, GCF of Fractions for 6968/294, 4895/9606 is 1/470694.