GCF of 1723/779, 8370/4564
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1723/779, 8370/4564 i.e 1/3555356 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1723/779, 8370/4564.
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 1723/779,8370/4564?
Given fractions are 1723/779,8370/4564
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 1723/779,8370/4564, numerators are 1723,8370
Denominators are 779,4564
The GCF of 1723,8370 is 1 .
LCM of 779,4564 is 3555356.
The greatest common factor of 1723/779,8370/4564 = [GCF of 1723,8370]/[LCM of 779,4564]= 1/3555356
Therefore, the GCF of 1723/779,8370/4564 is 1/3555356.
To find the highest common factor of 1723,8370, we have to find the factors of both numbers and list the highest common factor.
The factors of 1723 are 1, 1723
The factors of 8370 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 31, 45, 54, 62, 90, 93, 135, 155, 186, 270, 279, 310, 465, 558, 837, 930, 1395, 1674, 2790, 4185, 8370
The HCF of 1723,8370 is 1.
Lets's calculate GCF of 1723,8370
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1723,8370 By Matching Biggest Common Factor Method
Now, list down the factors of 1723
:1,1723
Now, list down the factors of 8370
:1,2,3,5,6,9,10,15,18,27,30,31,45,54,62,90,93,135,155,186,270,279,310,465,558,837,930,1395,1674,2790,4185,8370
Greatest Common Factor
We found the factors 1723,8370 . The biggest common factor number is the GCF number.
So the greatest common factor 1723,8370 is 1.
Lets's calculate LCM of 779,4564
Given numbers has no common factors except 1. So, there LCM is their product i.e 3555356
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3555356
Therefore, the GCF of Fractions 1723/779,8370/4564 is 1/3555356
Least Common Multiple of 779,4564 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 779,4564 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(779,4564) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(779,4564) x common factors =1 x 1 = 1
LCM(779,4564) = ( 779 × 4564 ) / 1
LCM(779,4564) = 3555356 / 1
LCM(779,4564) = 3555356
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FAQs on GCF of Fractions of 1723/779, 8370/4564
1. What is the HCF of 1723,8370?
The HCF of 1723,8370 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 1723/779, 8370/4564?
Answer: GCF of Numerators as per given numbers 1723/779, 8370/4564 is
GCF of Numerators i.e. for 1723,8370 is 1
LCM of denominators i.e. for 779,4564 is 3555356.
Thus, GCF of Fractions is 1/3555356.Finally, GCF of Fractions for 1723/779, 8370/4564 is 1/3555356.