GCF of 9921/71, 9955/930
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9921/71, 9955/930 i.e 1/66030 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9921/71, 9955/930.
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 9921/71,9955/930?
Given fractions are 9921/71,9955/930
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 9921/71,9955/930, numerators are 9921,9955
Denominators are 71,930
The GCF of 9921,9955 is 1 .
LCM of 71,930 is 66030.
The greatest common factor of 9921/71,9955/930 = [GCF of 9921,9955]/[LCM of 71,930]= 1/66030
Therefore, the GCF of 9921/71,9955/930 is 1/66030.
To find the highest common factor of 9921,9955, we have to find the factors of both numbers and list the highest common factor.
The factors of 9921 are 1, 3, 3307, 9921
The factors of 9955 are 1, 5, 11, 55, 181, 905, 1991, 9955
The HCF of 9921,9955 is 1.
Lets's calculate GCF of 9921,9955
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9921,9955 By Matching Biggest Common Factor Method
Now, list down the factors of 9921
:1,3,3307,9921
Now, list down the factors of 9955
:1,5,11,55,181,905,1991,9955
Greatest Common Factor
We found the factors 9921,9955 . The biggest common factor number is the GCF number.
So the greatest common factor 9921,9955 is 1.
Lets's calculate LCM of 71,930
Given numbers has no common factors except 1. So, there LCM is their product i.e 66030
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/66030
Therefore, the GCF of Fractions 9921/71,9955/930 is 1/66030
Least Common Multiple of 71,930 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 71,930 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(71,930) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(71,930) x common factors =1 x 1 = 1
LCM(71,930) = ( 71 × 930 ) / 1
LCM(71,930) = 66030 / 1
LCM(71,930) = 66030
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FAQs on GCF of Fractions of 9921/71, 9955/930
1. What is the HCF of 9921,9955?
The HCF of 9921,9955 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 9921/71, 9955/930?
Answer: GCF of Numerators as per given numbers 9921/71, 9955/930 is
GCF of Numerators i.e. for 9921,9955 is 1
LCM of denominators i.e. for 71,930 is 66030.
Thus, GCF of Fractions is 1/66030.Finally, GCF of Fractions for 9921/71, 9955/930 is 1/66030.