GCF of 9967/927, 6990/720
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9967/927, 6990/720 i.e 1/74160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9967/927, 6990/720.
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 9967/927,6990/720?
Given fractions are 9967/927,6990/720
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 9967/927,6990/720, numerators are 9967,6990
Denominators are 927,720
The GCF of 9967,6990 is 1 .
LCM of 927,720 is 74160.
The greatest common factor of 9967/927,6990/720 = [GCF of 9967,6990]/[LCM of 927,720]= 1/74160
Therefore, the GCF of 9967/927,6990/720 is 1/74160.
To find the highest common factor of 9967,6990, we have to find the factors of both numbers and list the highest common factor.
The factors of 9967 are 1, 9967
The factors of 6990 are 1, 2, 3, 5, 6, 10, 15, 30, 233, 466, 699, 1165, 1398, 2330, 3495, 6990
The HCF of 9967,6990 is 1.
Lets's calculate GCF of 9967,6990
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9967,6990 By Matching Biggest Common Factor Method
Now, list down the factors of 9967
:1,9967
Now, list down the factors of 6990
:1,2,3,5,6,10,15,30,233,466,699,1165,1398,2330,3495,6990
Greatest Common Factor
We found the factors 9967,6990 . The biggest common factor number is the GCF number.
So the greatest common factor 9967,6990 is 1.
Lets's calculate LCM of 927,720
| 3 | 927, 720 |
| 3 | 309, 240 |
| 103, 80 |
∴ So the LCM of the given numbers is 3 x 3 x 103 x 80 = 74160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/74160
Therefore, the GCF of Fractions 9967/927,6990/720 is 1/74160
Least Common Multiple of 927,720 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 927,720 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(927,720) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(927,720) x common factors =9 x 1 = 9
LCM(927,720) = ( 927 × 720 ) / 9
LCM(927,720) = 667440 / 9
LCM(927,720) = 74160
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FAQs on GCF of Fractions of 9967/927, 6990/720
1. What is the HCF of 9967,6990?
The HCF of 9967,6990 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 9967/927, 6990/720?
Answer: GCF of Numerators as per given numbers 9967/927, 6990/720 is
GCF of Numerators i.e. for 9967,6990 is 1
LCM of denominators i.e. for 927,720 is 74160.
Thus, GCF of Fractions is 1/74160.Finally, GCF of Fractions for 9967/927, 6990/720 is 1/74160.