GCF of 2453/874, 6340/1733
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2453/874, 6340/1733 i.e 1/1514642 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2453/874, 6340/1733.
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 2453/874,6340/1733?
Given fractions are 2453/874,6340/1733
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 2453/874,6340/1733, numerators are 2453,6340
Denominators are 874,1733
The GCF of 2453,6340 is 1 .
LCM of 874,1733 is 1514642.
The greatest common factor of 2453/874,6340/1733 = [GCF of 2453,6340]/[LCM of 874,1733]= 1/1514642
Therefore, the GCF of 2453/874,6340/1733 is 1/1514642.
To find the highest common factor of 2453,6340, we have to find the factors of both numbers and list the highest common factor.
The factors of 2453 are 1, 11, 223, 2453
The factors of 6340 are 1, 2, 4, 5, 10, 20, 317, 634, 1268, 1585, 3170, 6340
The HCF of 2453,6340 is 1.
Lets's calculate GCF of 2453,6340
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2453,6340 By Matching Biggest Common Factor Method
Now, list down the factors of 2453
:1,11,223,2453
Now, list down the factors of 6340
:1,2,4,5,10,20,317,634,1268,1585,3170,6340
Greatest Common Factor
We found the factors 2453,6340 . The biggest common factor number is the GCF number.
So the greatest common factor 2453,6340 is 1.
Lets's calculate LCM of 874,1733
Given numbers has no common factors except 1. So, there LCM is their product i.e 1514642
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1514642
Therefore, the GCF of Fractions 2453/874,6340/1733 is 1/1514642
Least Common Multiple of 874,1733 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 874,1733 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(874,1733) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(874,1733) x common factors =1 x 1 = 1
LCM(874,1733) = ( 874 × 1733 ) / 1
LCM(874,1733) = 1514642 / 1
LCM(874,1733) = 1514642
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FAQs on GCF of Fractions of 2453/874, 6340/1733
1. What is the HCF of 2453,6340?
The HCF of 2453,6340 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 2453/874, 6340/1733?
Answer: GCF of Numerators as per given numbers 2453/874, 6340/1733 is
GCF of Numerators i.e. for 2453,6340 is 1
LCM of denominators i.e. for 874,1733 is 1514642.
Thus, GCF of Fractions is 1/1514642.Finally, GCF of Fractions for 2453/874, 6340/1733 is 1/1514642.