GCF of 887/430, 411/241, 931/931
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 887/430, 411/241, 931/931 i.e 1/96479530 easily. The following is the detailed procedure to determine the greatest common factor of fractions 887/430, 411/241, 931/931.
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 887/430,411/241,931/931?
Given fractions are 887/430,411/241,931/931
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 887/430,411/241,931/931, numerators are 887,411,931
Denominators are 430,241,931
The GCF of 887,411,931 is 1 .
LCM of 430,241,931 is 96479530.
The greatest common factor of 887/430,411/241,931/931 = [GCF of 887,411,931]/[LCM of 430,241,931]= 1/96479530
Therefore, the GCF of 887/430,411/241,931/931 is 1/96479530.
To find the highest common factor of 887,411,931, we have to find the factors of both numbers and list the highest common factor.
The factors of 887 are 1, 887
The factors of 411 are 1, 3, 137, 411
The factors of 931 are 1, 7, 19, 49, 133, 931
The HCF of 887,411,931 is 1.
Lets's calculate GCF of 887,411,931
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 887,411,931 By Matching Biggest Common Factor Method
Now, list down the factors of 887
:1,887
Now, list down the factors of 411
:1,3,137,411
Now, list down the factors of 931
:1,7,19,49,133,931
Greatest Common Factor
We found the factors 887,411,931 . The biggest common factor number is the GCF number.
So the greatest common factor 887,411,931 is 1.
Lets's calculate LCM of 430,241,931
Given numbers has no common factors except 1. So, there LCM is their product i.e 96479530
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/96479530
Therefore, the GCF of Fractions 887/430,411/241,931/931 is 1/96479530
Least Common Multiple of 430,241,931 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 430,241,931 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(430,241,931) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(430,241,931) x common factors =1 x 1 = 1
LCM(430,241,931) = ( 430 × 241 × 931 ) / 1
LCM(430,241,931) = 96479530 / 1
LCM(430,241,931) = 96479530
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 887/430, 411/241, 931/931
1. What is the HCF of 887,411,931?
The HCF of 887,411,931 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 887/430, 411/241, 931/931?
Answer: GCF of Numerators as per given numbers 887/430, 411/241, 931/931 is
GCF of Numerators i.e. for 887,411,931 is 1
LCM of denominators i.e. for 430,241,931 is 96479530.
Thus, GCF of Fractions is 1/96479530.Finally, GCF of Fractions for 887/430, 411/241, 931/931 is 1/96479530.