GCF of 6013/124, 6958/667
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6013/124, 6958/667 i.e 7/82708 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6013/124, 6958/667.
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 6013/124,6958/667?
Given fractions are 6013/124,6958/667
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 6013/124,6958/667, numerators are 6013,6958
Denominators are 124,667
The GCF of 6013,6958 is 7 .
LCM of 124,667 is 82708.
The greatest common factor of 6013/124,6958/667 = [GCF of 6013,6958]/[LCM of 124,667]= 7/82708
Therefore, the GCF of 6013/124,6958/667 is 7/82708.
To find the highest common factor of 6013,6958, we have to find the factors of both numbers and list the highest common factor.
The factors of 6013 are 1, 7, 859, 6013
The factors of 6958 are 1, 2, 7, 14, 49, 71, 98, 142, 497, 994, 3479, 6958
The HCF of 6013,6958 is 7.
Lets's calculate GCF of 6013,6958
| 7 | 6013, 6958 |
| 859, 994 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 6013,6958 By Matching Biggest Common Factor Method
Now, list down the factors of 6013
:1,7,859,6013
Now, list down the factors of 6958
:1,2,7,14,49,71,98,142,497,994,3479,6958
Greatest Common Factor
We found the factors 6013,6958 . The biggest common factor number is the GCF number.
So the greatest common factor 6013,6958 is 7.
Lets's calculate LCM of 124,667
Given numbers has no common factors except 1. So, there LCM is their product i.e 82708
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/82708
Therefore, the GCF of Fractions 6013/124,6958/667 is 7/82708
Least Common Multiple of 124,667 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 124,667 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(124,667) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(124,667) x common factors =1 x 1 = 1
LCM(124,667) = ( 124 × 667 ) / 1
LCM(124,667) = 82708 / 1
LCM(124,667) = 82708
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FAQs on GCF of Fractions of 6013/124, 6958/667
1. What is the HCF of 6013,6958?
The HCF of 6013,6958 is 7
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 6013/124, 6958/667?
Answer: GCF of Numerators as per given numbers 6013/124, 6958/667 is
GCF of Numerators i.e. for 6013,6958 is 7
LCM of denominators i.e. for 124,667 is 82708.
Thus, GCF of Fractions is 7/82708.Finally, GCF of Fractions for 6013/124, 6958/667 is 7/82708.