GCF of 2702/459, 9959/358
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2702/459, 9959/358 i.e 1/164322 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2702/459, 9959/358.
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 2702/459,9959/358?
Given fractions are 2702/459,9959/358
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 2702/459,9959/358, numerators are 2702,9959
Denominators are 459,358
The GCF of 2702,9959 is 1 .
LCM of 459,358 is 164322.
The greatest common factor of 2702/459,9959/358 = [GCF of 2702,9959]/[LCM of 459,358]= 1/164322
Therefore, the GCF of 2702/459,9959/358 is 1/164322.
To find the highest common factor of 2702,9959, we have to find the factors of both numbers and list the highest common factor.
The factors of 2702 are 1, 2, 7, 14, 193, 386, 1351, 2702
The factors of 9959 are 1, 23, 433, 9959
The HCF of 2702,9959 is 1.
Lets's calculate GCF of 2702,9959
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2702,9959 By Matching Biggest Common Factor Method
Now, list down the factors of 2702
:1,2,7,14,193,386,1351,2702
Now, list down the factors of 9959
:1,23,433,9959
Greatest Common Factor
We found the factors 2702,9959 . The biggest common factor number is the GCF number.
So the greatest common factor 2702,9959 is 1.
Lets's calculate LCM of 459,358
Given numbers has no common factors except 1. So, there LCM is their product i.e 164322
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/164322
Therefore, the GCF of Fractions 2702/459,9959/358 is 1/164322
Least Common Multiple of 459,358 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 459,358 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(459,358) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(459,358) x common factors =1 x 1 = 1
LCM(459,358) = ( 459 × 358 ) / 1
LCM(459,358) = 164322 / 1
LCM(459,358) = 164322
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FAQs on GCF of Fractions of 2702/459, 9959/358
1. What is the HCF of 2702,9959?
The HCF of 2702,9959 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 2702/459, 9959/358?
Answer: GCF of Numerators as per given numbers 2702/459, 9959/358 is
GCF of Numerators i.e. for 2702,9959 is 1
LCM of denominators i.e. for 459,358 is 164322.
Thus, GCF of Fractions is 1/164322.Finally, GCF of Fractions for 2702/459, 9959/358 is 1/164322.