GCF of 4087/868, 2424/946
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4087/868, 2424/946 i.e 1/410564 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4087/868, 2424/946.
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 4087/868,2424/946?
Given fractions are 4087/868,2424/946
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 4087/868,2424/946, numerators are 4087,2424
Denominators are 868,946
The GCF of 4087,2424 is 1 .
LCM of 868,946 is 410564.
The greatest common factor of 4087/868,2424/946 = [GCF of 4087,2424]/[LCM of 868,946]= 1/410564
Therefore, the GCF of 4087/868,2424/946 is 1/410564.
To find the highest common factor of 4087,2424, we have to find the factors of both numbers and list the highest common factor.
The factors of 4087 are 1, 61, 67, 4087
The factors of 2424 are 1, 2, 3, 4, 6, 8, 12, 24, 101, 202, 303, 404, 606, 808, 1212, 2424
The HCF of 4087,2424 is 1.
Lets's calculate GCF of 4087,2424
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4087,2424 By Matching Biggest Common Factor Method
Now, list down the factors of 4087
:1,61,67,4087
Now, list down the factors of 2424
:1,2,3,4,6,8,12,24,101,202,303,404,606,808,1212,2424
Greatest Common Factor
We found the factors 4087,2424 . The biggest common factor number is the GCF number.
So the greatest common factor 4087,2424 is 1.
Lets's calculate LCM of 868,946
| 2 | 868, 946 |
| 434, 473 |
∴ So the LCM of the given numbers is 2 x 434 x 473 = 410564
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/410564
Therefore, the GCF of Fractions 4087/868,2424/946 is 1/410564
Least Common Multiple of 868,946 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 868,946 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(868,946) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(868,946) x common factors =2 x 1 = 2
LCM(868,946) = ( 868 × 946 ) / 2
LCM(868,946) = 821128 / 2
LCM(868,946) = 410564
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FAQs on GCF of Fractions of 4087/868, 2424/946
1. What is the HCF of 4087,2424?
The HCF of 4087,2424 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 4087/868, 2424/946?
Answer: GCF of Numerators as per given numbers 4087/868, 2424/946 is
GCF of Numerators i.e. for 4087,2424 is 1
LCM of denominators i.e. for 868,946 is 410564.
Thus, GCF of Fractions is 1/410564.Finally, GCF of Fractions for 4087/868, 2424/946 is 1/410564.