GCF of 8254/550, 8653/5044
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8254/550, 8653/5044 i.e 1/1387100 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8254/550, 8653/5044.
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 8254/550,8653/5044?
Given fractions are 8254/550,8653/5044
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 8254/550,8653/5044, numerators are 8254,8653
Denominators are 550,5044
The GCF of 8254,8653 is 1 .
LCM of 550,5044 is 1387100.
The greatest common factor of 8254/550,8653/5044 = [GCF of 8254,8653]/[LCM of 550,5044]= 1/1387100
Therefore, the GCF of 8254/550,8653/5044 is 1/1387100.
To find the highest common factor of 8254,8653, we have to find the factors of both numbers and list the highest common factor.
The factors of 8254 are 1, 2, 4127, 8254
The factors of 8653 are 1, 17, 509, 8653
The HCF of 8254,8653 is 1.
Lets's calculate GCF of 8254,8653
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8254,8653 By Matching Biggest Common Factor Method
Now, list down the factors of 8254
:1,2,4127,8254
Now, list down the factors of 8653
:1,17,509,8653
Greatest Common Factor
We found the factors 8254,8653 . The biggest common factor number is the GCF number.
So the greatest common factor 8254,8653 is 1.
Lets's calculate LCM of 550,5044
| 2 | 550, 5044 |
| 275, 2522 |
∴ So the LCM of the given numbers is 2 x 275 x 2522 = 1387100
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1387100
Therefore, the GCF of Fractions 8254/550,8653/5044 is 1/1387100
Least Common Multiple of 550,5044 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 550,5044 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(550,5044) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(550,5044) x common factors =2 x 1 = 2
LCM(550,5044) = ( 550 × 5044 ) / 2
LCM(550,5044) = 2774200 / 2
LCM(550,5044) = 1387100
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FAQs on GCF of Fractions of 8254/550, 8653/5044
1. What is the HCF of 8254,8653?
The HCF of 8254,8653 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 8254/550, 8653/5044?
Answer: GCF of Numerators as per given numbers 8254/550, 8653/5044 is
GCF of Numerators i.e. for 8254,8653 is 1
LCM of denominators i.e. for 550,5044 is 1387100.
Thus, GCF of Fractions is 1/1387100.Finally, GCF of Fractions for 8254/550, 8653/5044 is 1/1387100.