GCF of 1678/757, 2725/499
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1678/757, 2725/499 i.e 1/377743 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1678/757, 2725/499.
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 1678/757,2725/499?
Given fractions are 1678/757,2725/499
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 1678/757,2725/499, numerators are 1678,2725
Denominators are 757,499
The GCF of 1678,2725 is 1 .
LCM of 757,499 is 377743.
The greatest common factor of 1678/757,2725/499 = [GCF of 1678,2725]/[LCM of 757,499]= 1/377743
Therefore, the GCF of 1678/757,2725/499 is 1/377743.
To find the highest common factor of 1678,2725, we have to find the factors of both numbers and list the highest common factor.
The factors of 1678 are 1, 2, 839, 1678
The factors of 2725 are 1, 5, 25, 109, 545, 2725
The HCF of 1678,2725 is 1.
Lets's calculate GCF of 1678,2725
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1678,2725 By Matching Biggest Common Factor Method
Now, list down the factors of 1678
:1,2,839,1678
Now, list down the factors of 2725
:1,5,25,109,545,2725
Greatest Common Factor
We found the factors 1678,2725 . The biggest common factor number is the GCF number.
So the greatest common factor 1678,2725 is 1.
Lets's calculate LCM of 757,499
Given numbers has no common factors except 1. So, there LCM is their product i.e 377743
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/377743
Therefore, the GCF of Fractions 1678/757,2725/499 is 1/377743
Least Common Multiple of 757,499 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 757,499 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(757,499) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(757,499) x common factors =1 x 1 = 1
LCM(757,499) = ( 757 × 499 ) / 1
LCM(757,499) = 377743 / 1
LCM(757,499) = 377743
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FAQs on GCF of Fractions of 1678/757, 2725/499
1. What is the HCF of 1678,2725?
The HCF of 1678,2725 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 1678/757, 2725/499?
Answer: GCF of Numerators as per given numbers 1678/757, 2725/499 is
GCF of Numerators i.e. for 1678,2725 is 1
LCM of denominators i.e. for 757,499 is 377743.
Thus, GCF of Fractions is 1/377743.Finally, GCF of Fractions for 1678/757, 2725/499 is 1/377743.