GCF of 1601/346, 5302/2176
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1601/346, 5302/2176 i.e 1/376448 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1601/346, 5302/2176.
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 1601/346,5302/2176?
Given fractions are 1601/346,5302/2176
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 1601/346,5302/2176, numerators are 1601,5302
Denominators are 346,2176
The GCF of 1601,5302 is 1 .
LCM of 346,2176 is 376448.
The greatest common factor of 1601/346,5302/2176 = [GCF of 1601,5302]/[LCM of 346,2176]= 1/376448
Therefore, the GCF of 1601/346,5302/2176 is 1/376448.
To find the highest common factor of 1601,5302, we have to find the factors of both numbers and list the highest common factor.
The factors of 1601 are 1, 1601
The factors of 5302 are 1, 2, 11, 22, 241, 482, 2651, 5302
The HCF of 1601,5302 is 1.
Lets's calculate GCF of 1601,5302
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1601,5302 By Matching Biggest Common Factor Method
Now, list down the factors of 1601
:1,1601
Now, list down the factors of 5302
:1,2,11,22,241,482,2651,5302
Greatest Common Factor
We found the factors 1601,5302 . The biggest common factor number is the GCF number.
So the greatest common factor 1601,5302 is 1.
Lets's calculate LCM of 346,2176
| 2 | 346, 2176 |
| 173, 1088 |
∴ So the LCM of the given numbers is 2 x 173 x 1088 = 376448
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/376448
Therefore, the GCF of Fractions 1601/346,5302/2176 is 1/376448
Least Common Multiple of 346,2176 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 346,2176 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(346,2176) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(346,2176) x common factors =2 x 1 = 2
LCM(346,2176) = ( 346 × 2176 ) / 2
LCM(346,2176) = 752896 / 2
LCM(346,2176) = 376448
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FAQs on GCF of Fractions of 1601/346, 5302/2176
1. What is the HCF of 1601,5302?
The HCF of 1601,5302 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 1601/346, 5302/2176?
Answer: GCF of Numerators as per given numbers 1601/346, 5302/2176 is
GCF of Numerators i.e. for 1601,5302 is 1
LCM of denominators i.e. for 346,2176 is 376448.
Thus, GCF of Fractions is 1/376448.Finally, GCF of Fractions for 1601/346, 5302/2176 is 1/376448.