GCF of 5178/404, 3752/175
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5178/404, 3752/175 i.e 2/70700 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5178/404, 3752/175.
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 5178/404,3752/175?
Given fractions are 5178/404,3752/175
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 5178/404,3752/175, numerators are 5178,3752
Denominators are 404,175
The GCF of 5178,3752 is 2 .
LCM of 404,175 is 70700.
The greatest common factor of 5178/404,3752/175 = [GCF of 5178,3752]/[LCM of 404,175]= 2/70700
Therefore, the GCF of 5178/404,3752/175 is 2/70700.
To find the highest common factor of 5178,3752, we have to find the factors of both numbers and list the highest common factor.
The factors of 5178 are 1, 2, 3, 6, 863, 1726, 2589, 5178
The factors of 3752 are 1, 2, 4, 7, 8, 14, 28, 56, 67, 134, 268, 469, 536, 938, 1876, 3752
The HCF of 5178,3752 is 2.
Lets's calculate GCF of 5178,3752
| 2 | 5178, 3752 |
| 2589, 1876 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5178,3752 By Matching Biggest Common Factor Method
Now, list down the factors of 5178
:1,2,3,6,863,1726,2589,5178
Now, list down the factors of 3752
:1,2,4,7,8,14,28,56,67,134,268,469,536,938,1876,3752
Greatest Common Factor
We found the factors 5178,3752 . The biggest common factor number is the GCF number.
So the greatest common factor 5178,3752 is 2.
Lets's calculate LCM of 404,175
Given numbers has no common factors except 1. So, there LCM is their product i.e 70700
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/70700
Therefore, the GCF of Fractions 5178/404,3752/175 is 2/70700
Least Common Multiple of 404,175 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 404,175 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(404,175) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(404,175) x common factors =1 x 1 = 1
LCM(404,175) = ( 404 × 175 ) / 1
LCM(404,175) = 70700 / 1
LCM(404,175) = 70700
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FAQs on GCF of Fractions of 5178/404, 3752/175
1. What is the HCF of 5178,3752?
The HCF of 5178,3752 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 5178/404, 3752/175?
Answer: GCF of Numerators as per given numbers 5178/404, 3752/175 is
GCF of Numerators i.e. for 5178,3752 is 2
LCM of denominators i.e. for 404,175 is 70700.
Thus, GCF of Fractions is 2/70700.Finally, GCF of Fractions for 5178/404, 3752/175 is 2/70700.