GCF of 8473/267, 7440/1173
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8473/267, 7440/1173 i.e 1/104397 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8473/267, 7440/1173.
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 8473/267,7440/1173?
Given fractions are 8473/267,7440/1173
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 8473/267,7440/1173, numerators are 8473,7440
Denominators are 267,1173
The GCF of 8473,7440 is 1 .
LCM of 267,1173 is 104397.
The greatest common factor of 8473/267,7440/1173 = [GCF of 8473,7440]/[LCM of 267,1173]= 1/104397
Therefore, the GCF of 8473/267,7440/1173 is 1/104397.
To find the highest common factor of 8473,7440, we have to find the factors of both numbers and list the highest common factor.
The factors of 8473 are 1, 37, 229, 8473
The factors of 7440 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 31, 40, 48, 60, 62, 80, 93, 120, 124, 155, 186, 240, 248, 310, 372, 465, 496, 620, 744, 930, 1240, 1488, 1860, 2480, 3720, 7440
The HCF of 8473,7440 is 1.
Lets's calculate GCF of 8473,7440
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8473,7440 By Matching Biggest Common Factor Method
Now, list down the factors of 8473
:1,37,229,8473
Now, list down the factors of 7440
:1,2,3,4,5,6,8,10,12,15,16,20,24,30,31,40,48,60,62,80,93,120,124,155,186,240,248,310,372,465,496,620,744,930,1240,1488,1860,2480,3720,7440
Greatest Common Factor
We found the factors 8473,7440 . The biggest common factor number is the GCF number.
So the greatest common factor 8473,7440 is 1.
Lets's calculate LCM of 267,1173
| 3 | 267, 1173 |
| 89, 391 |
∴ So the LCM of the given numbers is 3 x 89 x 391 = 104397
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/104397
Therefore, the GCF of Fractions 8473/267,7440/1173 is 1/104397
Least Common Multiple of 267,1173 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 267,1173 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(267,1173) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(267,1173) x common factors =3 x 1 = 3
LCM(267,1173) = ( 267 × 1173 ) / 3
LCM(267,1173) = 313191 / 3
LCM(267,1173) = 104397
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FAQs on GCF of Fractions of 8473/267, 7440/1173
1. What is the HCF of 8473,7440?
The HCF of 8473,7440 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 8473/267, 7440/1173?
Answer: GCF of Numerators as per given numbers 8473/267, 7440/1173 is
GCF of Numerators i.e. for 8473,7440 is 1
LCM of denominators i.e. for 267,1173 is 104397.
Thus, GCF of Fractions is 1/104397.Finally, GCF of Fractions for 8473/267, 7440/1173 is 1/104397.