GCF of 1163/354, 4302/2153
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1163/354, 4302/2153 i.e 1/762162 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1163/354, 4302/2153.
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 1163/354,4302/2153?
Given fractions are 1163/354,4302/2153
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 1163/354,4302/2153, numerators are 1163,4302
Denominators are 354,2153
The GCF of 1163,4302 is 1 .
LCM of 354,2153 is 762162.
The greatest common factor of 1163/354,4302/2153 = [GCF of 1163,4302]/[LCM of 354,2153]= 1/762162
Therefore, the GCF of 1163/354,4302/2153 is 1/762162.
To find the highest common factor of 1163,4302, we have to find the factors of both numbers and list the highest common factor.
The factors of 1163 are 1, 1163
The factors of 4302 are 1, 2, 3, 6, 9, 18, 239, 478, 717, 1434, 2151, 4302
The HCF of 1163,4302 is 1.
Lets's calculate GCF of 1163,4302
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1163,4302 By Matching Biggest Common Factor Method
Now, list down the factors of 1163
:1,1163
Now, list down the factors of 4302
:1,2,3,6,9,18,239,478,717,1434,2151,4302
Greatest Common Factor
We found the factors 1163,4302 . The biggest common factor number is the GCF number.
So the greatest common factor 1163,4302 is 1.
Lets's calculate LCM of 354,2153
Given numbers has no common factors except 1. So, there LCM is their product i.e 762162
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/762162
Therefore, the GCF of Fractions 1163/354,4302/2153 is 1/762162
Least Common Multiple of 354,2153 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 354,2153 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(354,2153) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(354,2153) x common factors =1 x 1 = 1
LCM(354,2153) = ( 354 × 2153 ) / 1
LCM(354,2153) = 762162 / 1
LCM(354,2153) = 762162
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FAQs on GCF of Fractions of 1163/354, 4302/2153
1. What is the HCF of 1163,4302?
The HCF of 1163,4302 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 1163/354, 4302/2153?
Answer: GCF of Numerators as per given numbers 1163/354, 4302/2153 is
GCF of Numerators i.e. for 1163,4302 is 1
LCM of denominators i.e. for 354,2153 is 762162.
Thus, GCF of Fractions is 1/762162.Finally, GCF of Fractions for 1163/354, 4302/2153 is 1/762162.