GCF of 2867/144, 7543/4904
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2867/144, 7543/4904 i.e 1/88272 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2867/144, 7543/4904.
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 2867/144,7543/4904?
Given fractions are 2867/144,7543/4904
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 2867/144,7543/4904, numerators are 2867,7543
Denominators are 144,4904
The GCF of 2867,7543 is 1 .
LCM of 144,4904 is 88272.
The greatest common factor of 2867/144,7543/4904 = [GCF of 2867,7543]/[LCM of 144,4904]= 1/88272
Therefore, the GCF of 2867/144,7543/4904 is 1/88272.
To find the highest common factor of 2867,7543, we have to find the factors of both numbers and list the highest common factor.
The factors of 2867 are 1, 47, 61, 2867
The factors of 7543 are 1, 19, 397, 7543
The HCF of 2867,7543 is 1.
Lets's calculate GCF of 2867,7543
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2867,7543 By Matching Biggest Common Factor Method
Now, list down the factors of 2867
:1,47,61,2867
Now, list down the factors of 7543
:1,19,397,7543
Greatest Common Factor
We found the factors 2867,7543 . The biggest common factor number is the GCF number.
So the greatest common factor 2867,7543 is 1.
Lets's calculate LCM of 144,4904
| 2 | 144, 4904 |
| 2 | 72, 2452 |
| 2 | 36, 1226 |
| 18, 613 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 18 x 613 = 88272
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/88272
Therefore, the GCF of Fractions 2867/144,7543/4904 is 1/88272
Least Common Multiple of 144,4904 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 144,4904 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(144,4904) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(144,4904) x common factors =8 x 1 = 8
LCM(144,4904) = ( 144 × 4904 ) / 8
LCM(144,4904) = 706176 / 8
LCM(144,4904) = 88272
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FAQs on GCF of Fractions of 2867/144, 7543/4904
1. What is the HCF of 2867,7543?
The HCF of 2867,7543 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 2867/144, 7543/4904?
Answer: GCF of Numerators as per given numbers 2867/144, 7543/4904 is
GCF of Numerators i.e. for 2867,7543 is 1
LCM of denominators i.e. for 144,4904 is 88272.
Thus, GCF of Fractions is 1/88272.Finally, GCF of Fractions for 2867/144, 7543/4904 is 1/88272.