GCF of 121/878, 1004/981
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 121/878, 1004/981 i.e 1/861318 easily. The following is the detailed procedure to determine the greatest common factor of fractions 121/878, 1004/981.
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 121/878,1004/981?
Given fractions are 121/878,1004/981
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 121/878,1004/981, numerators are 121,1004
Denominators are 878,981
The GCF of 121,1004 is 1 .
LCM of 878,981 is 861318.
The greatest common factor of 121/878,1004/981 = [GCF of 121,1004]/[LCM of 878,981]= 1/861318
Therefore, the GCF of 121/878,1004/981 is 1/861318.
To find the highest common factor of 121,1004, we have to find the factors of both numbers and list the highest common factor.
The factors of 121 are 1, 11, 121
The factors of 1004 are 1, 2, 4, 251, 502, 1004
The HCF of 121,1004 is 1.
Lets's calculate GCF of 121,1004
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 121,1004 By Matching Biggest Common Factor Method
Now, list down the factors of 121
:1,11,121
Now, list down the factors of 1004
:1,2,4,251,502,1004
Greatest Common Factor
We found the factors 121,1004 . The biggest common factor number is the GCF number.
So the greatest common factor 121,1004 is 1.
Lets's calculate LCM of 878,981
Given numbers has no common factors except 1. So, there LCM is their product i.e 861318
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/861318
Therefore, the GCF of Fractions 121/878,1004/981 is 1/861318
Least Common Multiple of 878,981 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 878,981 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(878,981) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(878,981) x common factors =1 x 1 = 1
LCM(878,981) = ( 878 × 981 ) / 1
LCM(878,981) = 861318 / 1
LCM(878,981) = 861318
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FAQs on GCF of Fractions of 121/878, 1004/981
1. What is the HCF of 121,1004?
The HCF of 121,1004 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 121/878, 1004/981?
Answer: GCF of Numerators as per given numbers 121/878, 1004/981 is
GCF of Numerators i.e. for 121,1004 is 1
LCM of denominators i.e. for 878,981 is 861318.
Thus, GCF of Fractions is 1/861318.Finally, GCF of Fractions for 121/878, 1004/981 is 1/861318.