GCF of 1889/961, 8740/9299
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1889/961, 8740/9299 i.e 1/8936339 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1889/961, 8740/9299.
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 1889/961,8740/9299?
Given fractions are 1889/961,8740/9299
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 1889/961,8740/9299, numerators are 1889,8740
Denominators are 961,9299
The GCF of 1889,8740 is 1 .
LCM of 961,9299 is 8936339.
The greatest common factor of 1889/961,8740/9299 = [GCF of 1889,8740]/[LCM of 961,9299]= 1/8936339
Therefore, the GCF of 1889/961,8740/9299 is 1/8936339.
To find the highest common factor of 1889,8740, we have to find the factors of both numbers and list the highest common factor.
The factors of 1889 are 1, 1889
The factors of 8740 are 1, 2, 4, 5, 10, 19, 20, 23, 38, 46, 76, 92, 95, 115, 190, 230, 380, 437, 460, 874, 1748, 2185, 4370, 8740
The HCF of 1889,8740 is 1.
Lets's calculate GCF of 1889,8740
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1889,8740 By Matching Biggest Common Factor Method
Now, list down the factors of 1889
:1,1889
Now, list down the factors of 8740
:1,2,4,5,10,19,20,23,38,46,76,92,95,115,190,230,380,437,460,874,1748,2185,4370,8740
Greatest Common Factor
We found the factors 1889,8740 . The biggest common factor number is the GCF number.
So the greatest common factor 1889,8740 is 1.
Lets's calculate LCM of 961,9299
Given numbers has no common factors except 1. So, there LCM is their product i.e 8936339
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8936339
Therefore, the GCF of Fractions 1889/961,8740/9299 is 1/8936339
Least Common Multiple of 961,9299 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 961,9299 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(961,9299) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(961,9299) x common factors =1 x 1 = 1
LCM(961,9299) = ( 961 × 9299 ) / 1
LCM(961,9299) = 8936339 / 1
LCM(961,9299) = 8936339
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FAQs on GCF of Fractions of 1889/961, 8740/9299
1. What is the HCF of 1889,8740?
The HCF of 1889,8740 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 1889/961, 8740/9299?
Answer: GCF of Numerators as per given numbers 1889/961, 8740/9299 is
GCF of Numerators i.e. for 1889,8740 is 1
LCM of denominators i.e. for 961,9299 is 8936339.
Thus, GCF of Fractions is 1/8936339.Finally, GCF of Fractions for 1889/961, 8740/9299 is 1/8936339.