GCF of 2752/351, 8913/2740
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2752/351, 8913/2740 i.e 1/961740 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2752/351, 8913/2740.
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 2752/351,8913/2740?
Given fractions are 2752/351,8913/2740
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 2752/351,8913/2740, numerators are 2752,8913
Denominators are 351,2740
The GCF of 2752,8913 is 1 .
LCM of 351,2740 is 961740.
The greatest common factor of 2752/351,8913/2740 = [GCF of 2752,8913]/[LCM of 351,2740]= 1/961740
Therefore, the GCF of 2752/351,8913/2740 is 1/961740.
To find the highest common factor of 2752,8913, we have to find the factors of both numbers and list the highest common factor.
The factors of 2752 are 1, 2, 4, 8, 16, 32, 43, 64, 86, 172, 344, 688, 1376, 2752
The factors of 8913 are 1, 3, 2971, 8913
The HCF of 2752,8913 is 1.
Lets's calculate GCF of 2752,8913
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2752,8913 By Matching Biggest Common Factor Method
Now, list down the factors of 2752
:1,2,4,8,16,32,43,64,86,172,344,688,1376,2752
Now, list down the factors of 8913
:1,3,2971,8913
Greatest Common Factor
We found the factors 2752,8913 . The biggest common factor number is the GCF number.
So the greatest common factor 2752,8913 is 1.
Lets's calculate LCM of 351,2740
Given numbers has no common factors except 1. So, there LCM is their product i.e 961740
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/961740
Therefore, the GCF of Fractions 2752/351,8913/2740 is 1/961740
Least Common Multiple of 351,2740 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 351,2740 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(351,2740) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(351,2740) x common factors =1 x 1 = 1
LCM(351,2740) = ( 351 × 2740 ) / 1
LCM(351,2740) = 961740 / 1
LCM(351,2740) = 961740
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FAQs on GCF of Fractions of 2752/351, 8913/2740
1. What is the HCF of 2752,8913?
The HCF of 2752,8913 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 2752/351, 8913/2740?
Answer: GCF of Numerators as per given numbers 2752/351, 8913/2740 is
GCF of Numerators i.e. for 2752,8913 is 1
LCM of denominators i.e. for 351,2740 is 961740.
Thus, GCF of Fractions is 1/961740.Finally, GCF of Fractions for 2752/351, 8913/2740 is 1/961740.