GCF of 370/689, 2723/276
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 370/689, 2723/276 i.e 1/190164 easily. The following is the detailed procedure to determine the greatest common factor of fractions 370/689, 2723/276.
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 370/689,2723/276?
Given fractions are 370/689,2723/276
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 370/689,2723/276, numerators are 370,2723
Denominators are 689,276
The GCF of 370,2723 is 1 .
LCM of 689,276 is 190164.
The greatest common factor of 370/689,2723/276 = [GCF of 370,2723]/[LCM of 689,276]= 1/190164
Therefore, the GCF of 370/689,2723/276 is 1/190164.
To find the highest common factor of 370,2723, we have to find the factors of both numbers and list the highest common factor.
The factors of 370 are 1, 2, 5, 10, 37, 74, 185, 370
The factors of 2723 are 1, 7, 389, 2723
The HCF of 370,2723 is 1.
Lets's calculate GCF of 370,2723
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 370,2723 By Matching Biggest Common Factor Method
Now, list down the factors of 370
:1,2,5,10,37,74,185,370
Now, list down the factors of 2723
:1,7,389,2723
Greatest Common Factor
We found the factors 370,2723 . The biggest common factor number is the GCF number.
So the greatest common factor 370,2723 is 1.
Lets's calculate LCM of 689,276
Given numbers has no common factors except 1. So, there LCM is their product i.e 190164
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/190164
Therefore, the GCF of Fractions 370/689,2723/276 is 1/190164
Least Common Multiple of 689,276 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 689,276 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(689,276) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(689,276) x common factors =1 x 1 = 1
LCM(689,276) = ( 689 × 276 ) / 1
LCM(689,276) = 190164 / 1
LCM(689,276) = 190164
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FAQs on GCF of Fractions of 370/689, 2723/276
1. What is the HCF of 370,2723?
The HCF of 370,2723 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 370/689, 2723/276?
Answer: GCF of Numerators as per given numbers 370/689, 2723/276 is
GCF of Numerators i.e. for 370,2723 is 1
LCM of denominators i.e. for 689,276 is 190164.
Thus, GCF of Fractions is 1/190164.Finally, GCF of Fractions for 370/689, 2723/276 is 1/190164.