GCF of 4146/759, 9157/3638
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4146/759, 9157/3638 i.e 1/2761242 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4146/759, 9157/3638.
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 4146/759,9157/3638?
Given fractions are 4146/759,9157/3638
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 4146/759,9157/3638, numerators are 4146,9157
Denominators are 759,3638
The GCF of 4146,9157 is 1 .
LCM of 759,3638 is 2761242.
The greatest common factor of 4146/759,9157/3638 = [GCF of 4146,9157]/[LCM of 759,3638]= 1/2761242
Therefore, the GCF of 4146/759,9157/3638 is 1/2761242.
To find the highest common factor of 4146,9157, we have to find the factors of both numbers and list the highest common factor.
The factors of 4146 are 1, 2, 3, 6, 691, 1382, 2073, 4146
The factors of 9157 are 1, 9157
The HCF of 4146,9157 is 1.
Lets's calculate GCF of 4146,9157
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4146,9157 By Matching Biggest Common Factor Method
Now, list down the factors of 4146
:1,2,3,6,691,1382,2073,4146
Now, list down the factors of 9157
:1,9157
Greatest Common Factor
We found the factors 4146,9157 . The biggest common factor number is the GCF number.
So the greatest common factor 4146,9157 is 1.
Lets's calculate LCM of 759,3638
Given numbers has no common factors except 1. So, there LCM is their product i.e 2761242
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2761242
Therefore, the GCF of Fractions 4146/759,9157/3638 is 1/2761242
Least Common Multiple of 759,3638 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 759,3638 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(759,3638) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(759,3638) x common factors =1 x 1 = 1
LCM(759,3638) = ( 759 × 3638 ) / 1
LCM(759,3638) = 2761242 / 1
LCM(759,3638) = 2761242
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FAQs on GCF of Fractions of 4146/759, 9157/3638
1. What is the HCF of 4146,9157?
The HCF of 4146,9157 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 4146/759, 9157/3638?
Answer: GCF of Numerators as per given numbers 4146/759, 9157/3638 is
GCF of Numerators i.e. for 4146,9157 is 1
LCM of denominators i.e. for 759,3638 is 2761242.
Thus, GCF of Fractions is 1/2761242.Finally, GCF of Fractions for 4146/759, 9157/3638 is 1/2761242.