GCF of 2167/919, 7825/8981
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2167/919, 7825/8981 i.e 1/8253539 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2167/919, 7825/8981.
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 2167/919,7825/8981?
Given fractions are 2167/919,7825/8981
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 2167/919,7825/8981, numerators are 2167,7825
Denominators are 919,8981
The GCF of 2167,7825 is 1 .
LCM of 919,8981 is 8253539.
The greatest common factor of 2167/919,7825/8981 = [GCF of 2167,7825]/[LCM of 919,8981]= 1/8253539
Therefore, the GCF of 2167/919,7825/8981 is 1/8253539.
To find the highest common factor of 2167,7825, we have to find the factors of both numbers and list the highest common factor.
The factors of 2167 are 1, 11, 197, 2167
The factors of 7825 are 1, 5, 25, 313, 1565, 7825
The HCF of 2167,7825 is 1.
Lets's calculate GCF of 2167,7825
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2167,7825 By Matching Biggest Common Factor Method
Now, list down the factors of 2167
:1,11,197,2167
Now, list down the factors of 7825
:1,5,25,313,1565,7825
Greatest Common Factor
We found the factors 2167,7825 . The biggest common factor number is the GCF number.
So the greatest common factor 2167,7825 is 1.
Lets's calculate LCM of 919,8981
Given numbers has no common factors except 1. So, there LCM is their product i.e 8253539
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8253539
Therefore, the GCF of Fractions 2167/919,7825/8981 is 1/8253539
Least Common Multiple of 919,8981 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 919,8981 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(919,8981) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(919,8981) x common factors =1 x 1 = 1
LCM(919,8981) = ( 919 × 8981 ) / 1
LCM(919,8981) = 8253539 / 1
LCM(919,8981) = 8253539
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FAQs on GCF of Fractions of 2167/919, 7825/8981
1. What is the HCF of 2167,7825?
The HCF of 2167,7825 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 2167/919, 7825/8981?
Answer: GCF of Numerators as per given numbers 2167/919, 7825/8981 is
GCF of Numerators i.e. for 2167,7825 is 1
LCM of denominators i.e. for 919,8981 is 8253539.
Thus, GCF of Fractions is 1/8253539.Finally, GCF of Fractions for 2167/919, 7825/8981 is 1/8253539.