GCF of 3016/197, 4742/667
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3016/197, 4742/667 i.e 2/131399 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3016/197, 4742/667.
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 3016/197,4742/667?
Given fractions are 3016/197,4742/667
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 3016/197,4742/667, numerators are 3016,4742
Denominators are 197,667
The GCF of 3016,4742 is 2 .
LCM of 197,667 is 131399.
The greatest common factor of 3016/197,4742/667 = [GCF of 3016,4742]/[LCM of 197,667]= 2/131399
Therefore, the GCF of 3016/197,4742/667 is 2/131399.
To find the highest common factor of 3016,4742, we have to find the factors of both numbers and list the highest common factor.
The factors of 3016 are 1, 2, 4, 8, 13, 26, 29, 52, 58, 104, 116, 232, 377, 754, 1508, 3016
The factors of 4742 are 1, 2, 2371, 4742
The HCF of 3016,4742 is 2.
Lets's calculate GCF of 3016,4742
| 2 | 3016, 4742 |
| 1508, 2371 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3016,4742 By Matching Biggest Common Factor Method
Now, list down the factors of 3016
:1,2,4,8,13,26,29,52,58,104,116,232,377,754,1508,3016
Now, list down the factors of 4742
:1,2,2371,4742
Greatest Common Factor
We found the factors 3016,4742 . The biggest common factor number is the GCF number.
So the greatest common factor 3016,4742 is 2.
Lets's calculate LCM of 197,667
Given numbers has no common factors except 1. So, there LCM is their product i.e 131399
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/131399
Therefore, the GCF of Fractions 3016/197,4742/667 is 2/131399
Least Common Multiple of 197,667 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 197,667 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(197,667) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(197,667) x common factors =1 x 1 = 1
LCM(197,667) = ( 197 × 667 ) / 1
LCM(197,667) = 131399 / 1
LCM(197,667) = 131399
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FAQs on GCF of Fractions of 3016/197, 4742/667
1. What is the HCF of 3016,4742?
The HCF of 3016,4742 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 3016/197, 4742/667?
Answer: GCF of Numerators as per given numbers 3016/197, 4742/667 is
GCF of Numerators i.e. for 3016,4742 is 2
LCM of denominators i.e. for 197,667 is 131399.
Thus, GCF of Fractions is 2/131399.Finally, GCF of Fractions for 3016/197, 4742/667 is 2/131399.