GCF of 1263/532, 8440/1994
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1263/532, 8440/1994 i.e 1/530404 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1263/532, 8440/1994.
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 1263/532,8440/1994?
Given fractions are 1263/532,8440/1994
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 1263/532,8440/1994, numerators are 1263,8440
Denominators are 532,1994
The GCF of 1263,8440 is 1 .
LCM of 532,1994 is 530404.
The greatest common factor of 1263/532,8440/1994 = [GCF of 1263,8440]/[LCM of 532,1994]= 1/530404
Therefore, the GCF of 1263/532,8440/1994 is 1/530404.
To find the highest common factor of 1263,8440, we have to find the factors of both numbers and list the highest common factor.
The factors of 1263 are 1, 3, 421, 1263
The factors of 8440 are 1, 2, 4, 5, 8, 10, 20, 40, 211, 422, 844, 1055, 1688, 2110, 4220, 8440
The HCF of 1263,8440 is 1.
Lets's calculate GCF of 1263,8440
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1263,8440 By Matching Biggest Common Factor Method
Now, list down the factors of 1263
:1,3,421,1263
Now, list down the factors of 8440
:1,2,4,5,8,10,20,40,211,422,844,1055,1688,2110,4220,8440
Greatest Common Factor
We found the factors 1263,8440 . The biggest common factor number is the GCF number.
So the greatest common factor 1263,8440 is 1.
Lets's calculate LCM of 532,1994
| 2 | 532, 1994 |
| 266, 997 |
∴ So the LCM of the given numbers is 2 x 266 x 997 = 530404
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/530404
Therefore, the GCF of Fractions 1263/532,8440/1994 is 1/530404
Least Common Multiple of 532,1994 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 532,1994 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(532,1994) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(532,1994) x common factors =2 x 1 = 2
LCM(532,1994) = ( 532 × 1994 ) / 2
LCM(532,1994) = 1060808 / 2
LCM(532,1994) = 530404
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FAQs on GCF of Fractions of 1263/532, 8440/1994
1. What is the HCF of 1263,8440?
The HCF of 1263,8440 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 1263/532, 8440/1994?
Answer: GCF of Numerators as per given numbers 1263/532, 8440/1994 is
GCF of Numerators i.e. for 1263,8440 is 1
LCM of denominators i.e. for 532,1994 is 530404.
Thus, GCF of Fractions is 1/530404.Finally, GCF of Fractions for 1263/532, 8440/1994 is 1/530404.