GCF of 6049/268, 6968/8938
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6049/268, 6968/8938 i.e 1/1197692 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6049/268, 6968/8938.
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 6049/268,6968/8938?
Given fractions are 6049/268,6968/8938
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 6049/268,6968/8938, numerators are 6049,6968
Denominators are 268,8938
The GCF of 6049,6968 is 1 .
LCM of 268,8938 is 1197692.
The greatest common factor of 6049/268,6968/8938 = [GCF of 6049,6968]/[LCM of 268,8938]= 1/1197692
Therefore, the GCF of 6049/268,6968/8938 is 1/1197692.
To find the highest common factor of 6049,6968, we have to find the factors of both numbers and list the highest common factor.
The factors of 6049 are 1, 23, 263, 6049
The factors of 6968 are 1, 2, 4, 8, 13, 26, 52, 67, 104, 134, 268, 536, 871, 1742, 3484, 6968
The HCF of 6049,6968 is 1.
Lets's calculate GCF of 6049,6968
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6049,6968 By Matching Biggest Common Factor Method
Now, list down the factors of 6049
:1,23,263,6049
Now, list down the factors of 6968
:1,2,4,8,13,26,52,67,104,134,268,536,871,1742,3484,6968
Greatest Common Factor
We found the factors 6049,6968 . The biggest common factor number is the GCF number.
So the greatest common factor 6049,6968 is 1.
Lets's calculate LCM of 268,8938
| 2 | 268, 8938 |
| 134, 4469 |
∴ So the LCM of the given numbers is 2 x 134 x 4469 = 1197692
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1197692
Therefore, the GCF of Fractions 6049/268,6968/8938 is 1/1197692
Least Common Multiple of 268,8938 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 268,8938 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(268,8938) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(268,8938) x common factors =2 x 1 = 2
LCM(268,8938) = ( 268 × 8938 ) / 2
LCM(268,8938) = 2395384 / 2
LCM(268,8938) = 1197692
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FAQs on GCF of Fractions of 6049/268, 6968/8938
1. What is the HCF of 6049,6968?
The HCF of 6049,6968 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 6049/268, 6968/8938?
Answer: GCF of Numerators as per given numbers 6049/268, 6968/8938 is
GCF of Numerators i.e. for 6049,6968 is 1
LCM of denominators i.e. for 268,8938 is 1197692.
Thus, GCF of Fractions is 1/1197692.Finally, GCF of Fractions for 6049/268, 6968/8938 is 1/1197692.