GCF of 9967/893, 1878/1014
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9967/893, 1878/1014 i.e 1/905502 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9967/893, 1878/1014.
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 9967/893,1878/1014?
Given fractions are 9967/893,1878/1014
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 9967/893,1878/1014, numerators are 9967,1878
Denominators are 893,1014
The GCF of 9967,1878 is 1 .
LCM of 893,1014 is 905502.
The greatest common factor of 9967/893,1878/1014 = [GCF of 9967,1878]/[LCM of 893,1014]= 1/905502
Therefore, the GCF of 9967/893,1878/1014 is 1/905502.
To find the highest common factor of 9967,1878, 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 1878 are 1, 2, 3, 6, 313, 626, 939, 1878
The HCF of 9967,1878 is 1.
Lets's calculate GCF of 9967,1878
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9967,1878 By Matching Biggest Common Factor Method
Now, list down the factors of 9967
:1,9967
Now, list down the factors of 1878
:1,2,3,6,313,626,939,1878
Greatest Common Factor
We found the factors 9967,1878 . The biggest common factor number is the GCF number.
So the greatest common factor 9967,1878 is 1.
Lets's calculate LCM of 893,1014
Given numbers has no common factors except 1. So, there LCM is their product i.e 905502
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/905502
Therefore, the GCF of Fractions 9967/893,1878/1014 is 1/905502
Least Common Multiple of 893,1014 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 893,1014 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(893,1014) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(893,1014) x common factors =1 x 1 = 1
LCM(893,1014) = ( 893 × 1014 ) / 1
LCM(893,1014) = 905502 / 1
LCM(893,1014) = 905502
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FAQs on GCF of Fractions of 9967/893, 1878/1014
1. What is the HCF of 9967,1878?
The HCF of 9967,1878 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 9967/893, 1878/1014?
Answer: GCF of Numerators as per given numbers 9967/893, 1878/1014 is
GCF of Numerators i.e. for 9967,1878 is 1
LCM of denominators i.e. for 893,1014 is 905502.
Thus, GCF of Fractions is 1/905502.Finally, GCF of Fractions for 9967/893, 1878/1014 is 1/905502.