GCF of 1129/214, 5285/8869
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1129/214, 5285/8869 i.e 1/1897966 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1129/214, 5285/8869.
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 1129/214,5285/8869?
Given fractions are 1129/214,5285/8869
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 1129/214,5285/8869, numerators are 1129,5285
Denominators are 214,8869
The GCF of 1129,5285 is 1 .
LCM of 214,8869 is 1897966.
The greatest common factor of 1129/214,5285/8869 = [GCF of 1129,5285]/[LCM of 214,8869]= 1/1897966
Therefore, the GCF of 1129/214,5285/8869 is 1/1897966.
To find the highest common factor of 1129,5285, we have to find the factors of both numbers and list the highest common factor.
The factors of 1129 are 1, 1129
The factors of 5285 are 1, 5, 7, 35, 151, 755, 1057, 5285
The HCF of 1129,5285 is 1.
Lets's calculate GCF of 1129,5285
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1129,5285 By Matching Biggest Common Factor Method
Now, list down the factors of 1129
:1,1129
Now, list down the factors of 5285
:1,5,7,35,151,755,1057,5285
Greatest Common Factor
We found the factors 1129,5285 . The biggest common factor number is the GCF number.
So the greatest common factor 1129,5285 is 1.
Lets's calculate LCM of 214,8869
Given numbers has no common factors except 1. So, there LCM is their product i.e 1897966
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1897966
Therefore, the GCF of Fractions 1129/214,5285/8869 is 1/1897966
Least Common Multiple of 214,8869 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 214,8869 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(214,8869) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(214,8869) x common factors =1 x 1 = 1
LCM(214,8869) = ( 214 × 8869 ) / 1
LCM(214,8869) = 1897966 / 1
LCM(214,8869) = 1897966
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FAQs on GCF of Fractions of 1129/214, 5285/8869
1. What is the HCF of 1129,5285?
The HCF of 1129,5285 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 1129/214, 5285/8869?
Answer: GCF of Numerators as per given numbers 1129/214, 5285/8869 is
GCF of Numerators i.e. for 1129,5285 is 1
LCM of denominators i.e. for 214,8869 is 1897966.
Thus, GCF of Fractions is 1/1897966.Finally, GCF of Fractions for 1129/214, 5285/8869 is 1/1897966.