GCF of 289/847, 8862/8629
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 289/847, 8862/8629 i.e 1/7308763 easily. The following is the detailed procedure to determine the greatest common factor of fractions 289/847, 8862/8629.
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 289/847,8862/8629?
Given fractions are 289/847,8862/8629
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 289/847,8862/8629, numerators are 289,8862
Denominators are 847,8629
The GCF of 289,8862 is 1 .
LCM of 847,8629 is 7308763.
The greatest common factor of 289/847,8862/8629 = [GCF of 289,8862]/[LCM of 847,8629]= 1/7308763
Therefore, the GCF of 289/847,8862/8629 is 1/7308763.
To find the highest common factor of 289,8862, we have to find the factors of both numbers and list the highest common factor.
The factors of 289 are 1, 17, 289
The factors of 8862 are 1, 2, 3, 6, 7, 14, 21, 42, 211, 422, 633, 1266, 1477, 2954, 4431, 8862
The HCF of 289,8862 is 1.
Lets's calculate GCF of 289,8862
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 289,8862 By Matching Biggest Common Factor Method
Now, list down the factors of 289
:1,17,289
Now, list down the factors of 8862
:1,2,3,6,7,14,21,42,211,422,633,1266,1477,2954,4431,8862
Greatest Common Factor
We found the factors 289,8862 . The biggest common factor number is the GCF number.
So the greatest common factor 289,8862 is 1.
Lets's calculate LCM of 847,8629
Given numbers has no common factors except 1. So, there LCM is their product i.e 7308763
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7308763
Therefore, the GCF of Fractions 289/847,8862/8629 is 1/7308763
Least Common Multiple of 847,8629 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 847,8629 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(847,8629) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(847,8629) x common factors =1 x 1 = 1
LCM(847,8629) = ( 847 × 8629 ) / 1
LCM(847,8629) = 7308763 / 1
LCM(847,8629) = 7308763
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FAQs on GCF of Fractions of 289/847, 8862/8629
1. What is the HCF of 289,8862?
The HCF of 289,8862 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 289/847, 8862/8629?
Answer: GCF of Numerators as per given numbers 289/847, 8862/8629 is
GCF of Numerators i.e. for 289,8862 is 1
LCM of denominators i.e. for 847,8629 is 7308763.
Thus, GCF of Fractions is 1/7308763.Finally, GCF of Fractions for 289/847, 8862/8629 is 1/7308763.