GCF of 4113/194, 4033/876
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4113/194, 4033/876 i.e 1/84972 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4113/194, 4033/876.
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 4113/194,4033/876?
Given fractions are 4113/194,4033/876
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 4113/194,4033/876, numerators are 4113,4033
Denominators are 194,876
The GCF of 4113,4033 is 1 .
LCM of 194,876 is 84972.
The greatest common factor of 4113/194,4033/876 = [GCF of 4113,4033]/[LCM of 194,876]= 1/84972
Therefore, the GCF of 4113/194,4033/876 is 1/84972.
To find the highest common factor of 4113,4033, we have to find the factors of both numbers and list the highest common factor.
The factors of 4113 are 1, 3, 9, 457, 1371, 4113
The factors of 4033 are 1, 37, 109, 4033
The HCF of 4113,4033 is 1.
Lets's calculate GCF of 4113,4033
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4113,4033 By Matching Biggest Common Factor Method
Now, list down the factors of 4113
:1,3,9,457,1371,4113
Now, list down the factors of 4033
:1,37,109,4033
Greatest Common Factor
We found the factors 4113,4033 . The biggest common factor number is the GCF number.
So the greatest common factor 4113,4033 is 1.
Lets's calculate LCM of 194,876
| 2 | 194, 876 |
| 97, 438 |
∴ So the LCM of the given numbers is 2 x 97 x 438 = 84972
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/84972
Therefore, the GCF of Fractions 4113/194,4033/876 is 1/84972
Least Common Multiple of 194,876 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 194,876 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(194,876) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(194,876) x common factors =2 x 1 = 2
LCM(194,876) = ( 194 × 876 ) / 2
LCM(194,876) = 169944 / 2
LCM(194,876) = 84972
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FAQs on GCF of Fractions of 4113/194, 4033/876
1. What is the HCF of 4113,4033?
The HCF of 4113,4033 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 4113/194, 4033/876?
Answer: GCF of Numerators as per given numbers 4113/194, 4033/876 is
GCF of Numerators i.e. for 4113,4033 is 1
LCM of denominators i.e. for 194,876 is 84972.
Thus, GCF of Fractions is 1/84972.Finally, GCF of Fractions for 4113/194, 4033/876 is 1/84972.