GCF of 107/84, 890/271
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 107/84, 890/271 i.e 1/22764 easily. The following is the detailed procedure to determine the greatest common factor of fractions 107/84, 890/271.
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 107/84,890/271?
Given fractions are 107/84,890/271
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 107/84,890/271, numerators are 107,890
Denominators are 84,271
The GCF of 107,890 is 1 .
LCM of 84,271 is 22764.
The greatest common factor of 107/84,890/271 = [GCF of 107,890]/[LCM of 84,271]= 1/22764
Therefore, the GCF of 107/84,890/271 is 1/22764.
To find the highest common factor of 107,890, we have to find the factors of both numbers and list the highest common factor.
The factors of 107 are 1, 107
The factors of 890 are 1, 2, 5, 10, 89, 178, 445, 890
The HCF of 107,890 is 1.
Lets's calculate GCF of 107,890
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 107,890 By Matching Biggest Common Factor Method
Now, list down the factors of 107
:1,107
Now, list down the factors of 890
:1,2,5,10,89,178,445,890
Greatest Common Factor
We found the factors 107,890 . The biggest common factor number is the GCF number.
So the greatest common factor 107,890 is 1.
Lets's calculate LCM of 84,271
Given numbers has no common factors except 1. So, there LCM is their product i.e 22764
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22764
Therefore, the GCF of Fractions 107/84,890/271 is 1/22764
Least Common Multiple of 84,271 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 84,271 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(84,271) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(84,271) x common factors =1 x 1 = 1
LCM(84,271) = ( 84 × 271 ) / 1
LCM(84,271) = 22764 / 1
LCM(84,271) = 22764
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FAQs on GCF of Fractions of 107/84, 890/271
1. What is the HCF of 107,890?
The HCF of 107,890 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 107/84, 890/271?
Answer: GCF of Numerators as per given numbers 107/84, 890/271 is
GCF of Numerators i.e. for 107,890 is 1
LCM of denominators i.e. for 84,271 is 22764.
Thus, GCF of Fractions is 1/22764.Finally, GCF of Fractions for 107/84, 890/271 is 1/22764.