GCF of 7117/446, 4606/3038
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7117/446, 4606/3038 i.e 1/677474 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7117/446, 4606/3038.
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 7117/446,4606/3038?
Given fractions are 7117/446,4606/3038
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 7117/446,4606/3038, numerators are 7117,4606
Denominators are 446,3038
The GCF of 7117,4606 is 1 .
LCM of 446,3038 is 677474.
The greatest common factor of 7117/446,4606/3038 = [GCF of 7117,4606]/[LCM of 446,3038]= 1/677474
Therefore, the GCF of 7117/446,4606/3038 is 1/677474.
To find the highest common factor of 7117,4606, we have to find the factors of both numbers and list the highest common factor.
The factors of 7117 are 1, 11, 647, 7117
The factors of 4606 are 1, 2, 7, 14, 47, 49, 94, 98, 329, 658, 2303, 4606
The HCF of 7117,4606 is 1.
Lets's calculate GCF of 7117,4606
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7117,4606 By Matching Biggest Common Factor Method
Now, list down the factors of 7117
:1,11,647,7117
Now, list down the factors of 4606
:1,2,7,14,47,49,94,98,329,658,2303,4606
Greatest Common Factor
We found the factors 7117,4606 . The biggest common factor number is the GCF number.
So the greatest common factor 7117,4606 is 1.
Lets's calculate LCM of 446,3038
| 2 | 446, 3038 |
| 223, 1519 |
∴ So the LCM of the given numbers is 2 x 223 x 1519 = 677474
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/677474
Therefore, the GCF of Fractions 7117/446,4606/3038 is 1/677474
Least Common Multiple of 446,3038 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 446,3038 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(446,3038) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(446,3038) x common factors =2 x 1 = 2
LCM(446,3038) = ( 446 × 3038 ) / 2
LCM(446,3038) = 1354948 / 2
LCM(446,3038) = 677474
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FAQs on GCF of Fractions of 7117/446, 4606/3038
1. What is the HCF of 7117,4606?
The HCF of 7117,4606 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 7117/446, 4606/3038?
Answer: GCF of Numerators as per given numbers 7117/446, 4606/3038 is
GCF of Numerators i.e. for 7117,4606 is 1
LCM of denominators i.e. for 446,3038 is 677474.
Thus, GCF of Fractions is 1/677474.Finally, GCF of Fractions for 7117/446, 4606/3038 is 1/677474.