GCF of 8753/282, 1770/9729
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8753/282, 1770/9729 i.e 1/19458 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8753/282, 1770/9729.
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 8753/282,1770/9729?
Given fractions are 8753/282,1770/9729
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 8753/282,1770/9729, numerators are 8753,1770
Denominators are 282,9729
The GCF of 8753,1770 is 1 .
LCM of 282,9729 is 19458.
The greatest common factor of 8753/282,1770/9729 = [GCF of 8753,1770]/[LCM of 282,9729]= 1/19458
Therefore, the GCF of 8753/282,1770/9729 is 1/19458.
To find the highest common factor of 8753,1770, we have to find the factors of both numbers and list the highest common factor.
The factors of 8753 are 1, 8753
The factors of 1770 are 1, 2, 3, 5, 6, 10, 15, 30, 59, 118, 177, 295, 354, 590, 885, 1770
The HCF of 8753,1770 is 1.
Lets's calculate GCF of 8753,1770
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8753,1770 By Matching Biggest Common Factor Method
Now, list down the factors of 8753
:1,8753
Now, list down the factors of 1770
:1,2,3,5,6,10,15,30,59,118,177,295,354,590,885,1770
Greatest Common Factor
We found the factors 8753,1770 . The biggest common factor number is the GCF number.
So the greatest common factor 8753,1770 is 1.
Lets's calculate LCM of 282,9729
| 3 | 282, 9729 |
| 47 | 94, 3243 |
| 2, 69 |
∴ So the LCM of the given numbers is 3 x 47 x 2 x 69 = 19458
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19458
Therefore, the GCF of Fractions 8753/282,1770/9729 is 1/19458
Least Common Multiple of 282,9729 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 282,9729 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(282,9729) = 141
common factors(in case of two or more numbers have common factors) = 1
GCF(282,9729) x common factors =141 x 1 = 141
LCM(282,9729) = ( 282 × 9729 ) / 141
LCM(282,9729) = 2743578 / 141
LCM(282,9729) = 19458
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FAQs on GCF of Fractions of 8753/282, 1770/9729
1. What is the HCF of 8753,1770?
The HCF of 8753,1770 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 8753/282, 1770/9729?
Answer: GCF of Numerators as per given numbers 8753/282, 1770/9729 is
GCF of Numerators i.e. for 8753,1770 is 1
LCM of denominators i.e. for 282,9729 is 19458.
Thus, GCF of Fractions is 1/19458.Finally, GCF of Fractions for 8753/282, 1770/9729 is 1/19458.