GCF of 2353/859, 2279/695
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2353/859, 2279/695 i.e 1/597005 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2353/859, 2279/695.
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 2353/859,2279/695?
Given fractions are 2353/859,2279/695
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 2353/859,2279/695, numerators are 2353,2279
Denominators are 859,695
The GCF of 2353,2279 is 1 .
LCM of 859,695 is 597005.
The greatest common factor of 2353/859,2279/695 = [GCF of 2353,2279]/[LCM of 859,695]= 1/597005
Therefore, the GCF of 2353/859,2279/695 is 1/597005.
To find the highest common factor of 2353,2279, we have to find the factors of both numbers and list the highest common factor.
The factors of 2353 are 1, 13, 181, 2353
The factors of 2279 are 1, 43, 53, 2279
The HCF of 2353,2279 is 1.
Lets's calculate GCF of 2353,2279
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2353,2279 By Matching Biggest Common Factor Method
Now, list down the factors of 2353
:1,13,181,2353
Now, list down the factors of 2279
:1,43,53,2279
Greatest Common Factor
We found the factors 2353,2279 . The biggest common factor number is the GCF number.
So the greatest common factor 2353,2279 is 1.
Lets's calculate LCM of 859,695
Given numbers has no common factors except 1. So, there LCM is their product i.e 597005
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/597005
Therefore, the GCF of Fractions 2353/859,2279/695 is 1/597005
Least Common Multiple of 859,695 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 859,695 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(859,695) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(859,695) x common factors =1 x 1 = 1
LCM(859,695) = ( 859 × 695 ) / 1
LCM(859,695) = 597005 / 1
LCM(859,695) = 597005
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FAQs on GCF of Fractions of 2353/859, 2279/695
1. What is the HCF of 2353,2279?
The HCF of 2353,2279 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 2353/859, 2279/695?
Answer: GCF of Numerators as per given numbers 2353/859, 2279/695 is
GCF of Numerators i.e. for 2353,2279 is 1
LCM of denominators i.e. for 859,695 is 597005.
Thus, GCF of Fractions is 1/597005.Finally, GCF of Fractions for 2353/859, 2279/695 is 1/597005.