GCF of 4290/946, 2344/8657
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4290/946, 2344/8657 i.e 2/744502 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4290/946, 2344/8657.
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 4290/946,2344/8657?
Given fractions are 4290/946,2344/8657
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 4290/946,2344/8657, numerators are 4290,2344
Denominators are 946,8657
The GCF of 4290,2344 is 2 .
LCM of 946,8657 is 744502.
The greatest common factor of 4290/946,2344/8657 = [GCF of 4290,2344]/[LCM of 946,8657]= 2/744502
Therefore, the GCF of 4290/946,2344/8657 is 2/744502.
To find the highest common factor of 4290,2344, we have to find the factors of both numbers and list the highest common factor.
The factors of 4290 are 1, 2, 3, 5, 6, 10, 11, 13, 15, 22, 26, 30, 33, 39, 55, 65, 66, 78, 110, 130, 143, 165, 195, 286, 330, 390, 429, 715, 858, 1430, 2145, 4290
The factors of 2344 are 1, 2, 4, 8, 293, 586, 1172, 2344
The HCF of 4290,2344 is 2.
Lets's calculate GCF of 4290,2344
| 2 | 4290, 2344 |
| 2145, 1172 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4290,2344 By Matching Biggest Common Factor Method
Now, list down the factors of 4290
:1,2,3,5,6,10,11,13,15,22,26,30,33,39,55,65,66,78,110,130,143,165,195,286,330,390,429,715,858,1430,2145,4290
Now, list down the factors of 2344
:1,2,4,8,293,586,1172,2344
Greatest Common Factor
We found the factors 4290,2344 . The biggest common factor number is the GCF number.
So the greatest common factor 4290,2344 is 2.
Lets's calculate LCM of 946,8657
| 11 | 946, 8657 |
| 86, 787 |
∴ So the LCM of the given numbers is 11 x 86 x 787 = 744502
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/744502
Therefore, the GCF of Fractions 4290/946,2344/8657 is 2/744502
Least Common Multiple of 946,8657 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 946,8657 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(946,8657) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(946,8657) x common factors =11 x 1 = 11
LCM(946,8657) = ( 946 × 8657 ) / 11
LCM(946,8657) = 8189522 / 11
LCM(946,8657) = 744502
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4290/946, 2344/8657
1. What is the HCF of 4290,2344?
The HCF of 4290,2344 is 2
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 4290/946, 2344/8657?
Answer: GCF of Numerators as per given numbers 4290/946, 2344/8657 is
GCF of Numerators i.e. for 4290,2344 is 2
LCM of denominators i.e. for 946,8657 is 744502.
Thus, GCF of Fractions is 2/744502.Finally, GCF of Fractions for 4290/946, 2344/8657 is 2/744502.