GCF of 4156/119, 3413/9229
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4156/119, 3413/9229 i.e 1/1098251 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4156/119, 3413/9229.
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 4156/119,3413/9229?
Given fractions are 4156/119,3413/9229
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 4156/119,3413/9229, numerators are 4156,3413
Denominators are 119,9229
The GCF of 4156,3413 is 1 .
LCM of 119,9229 is 1098251.
The greatest common factor of 4156/119,3413/9229 = [GCF of 4156,3413]/[LCM of 119,9229]= 1/1098251
Therefore, the GCF of 4156/119,3413/9229 is 1/1098251.
To find the highest common factor of 4156,3413, we have to find the factors of both numbers and list the highest common factor.
The factors of 4156 are 1, 2, 4, 1039, 2078, 4156
The factors of 3413 are 1, 3413
The HCF of 4156,3413 is 1.
Lets's calculate GCF of 4156,3413
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4156,3413 By Matching Biggest Common Factor Method
Now, list down the factors of 4156
:1,2,4,1039,2078,4156
Now, list down the factors of 3413
:1,3413
Greatest Common Factor
We found the factors 4156,3413 . The biggest common factor number is the GCF number.
So the greatest common factor 4156,3413 is 1.
Lets's calculate LCM of 119,9229
Given numbers has no common factors except 1. So, there LCM is their product i.e 1098251
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1098251
Therefore, the GCF of Fractions 4156/119,3413/9229 is 1/1098251
Least Common Multiple of 119,9229 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 119,9229 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(119,9229) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(119,9229) x common factors =1 x 1 = 1
LCM(119,9229) = ( 119 × 9229 ) / 1
LCM(119,9229) = 1098251 / 1
LCM(119,9229) = 1098251
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FAQs on GCF of Fractions of 4156/119, 3413/9229
1. What is the HCF of 4156,3413?
The HCF of 4156,3413 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 4156/119, 3413/9229?
Answer: GCF of Numerators as per given numbers 4156/119, 3413/9229 is
GCF of Numerators i.e. for 4156,3413 is 1
LCM of denominators i.e. for 119,9229 is 1098251.
Thus, GCF of Fractions is 1/1098251.Finally, GCF of Fractions for 4156/119, 3413/9229 is 1/1098251.