GCF of 2870/429, 4223/3423
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2870/429, 4223/3423 i.e 41/489489 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2870/429, 4223/3423.
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 2870/429,4223/3423?
Given fractions are 2870/429,4223/3423
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 2870/429,4223/3423, numerators are 2870,4223
Denominators are 429,3423
The GCF of 2870,4223 is 41 .
LCM of 429,3423 is 489489.
The greatest common factor of 2870/429,4223/3423 = [GCF of 2870,4223]/[LCM of 429,3423]= 41/489489
Therefore, the GCF of 2870/429,4223/3423 is 41/489489.
To find the highest common factor of 2870,4223, we have to find the factors of both numbers and list the highest common factor.
The factors of 2870 are 1, 2, 5, 7, 10, 14, 35, 41, 70, 82, 205, 287, 410, 574, 1435, 2870
The factors of 4223 are 1, 41, 103, 4223
The HCF of 2870,4223 is 41.
Lets's calculate GCF of 2870,4223
| 41 | 2870, 4223 |
| 70, 103 |
∴ So the GCF of the given numbers is 41 = 41
Greatest Common Factor of 2870,4223 By Matching Biggest Common Factor Method
Now, list down the factors of 2870
:1,2,5,7,10,14,35,41,70,82,205,287,410,574,1435,2870
Now, list down the factors of 4223
:1,41,103,4223
Greatest Common Factor
We found the factors 2870,4223 . The biggest common factor number is the GCF number.
So the greatest common factor 2870,4223 is 41.
Lets's calculate LCM of 429,3423
| 3 | 429, 3423 |
| 143, 1141 |
∴ So the LCM of the given numbers is 3 x 143 x 1141 = 489489
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 41/489489
Therefore, the GCF of Fractions 2870/429,4223/3423 is 41/489489
Least Common Multiple of 429,3423 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 429,3423 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(429,3423) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(429,3423) x common factors =3 x 1 = 3
LCM(429,3423) = ( 429 × 3423 ) / 3
LCM(429,3423) = 1468467 / 3
LCM(429,3423) = 489489
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FAQs on GCF of Fractions of 2870/429, 4223/3423
1. What is the HCF of 2870,4223?
The HCF of 2870,4223 is 41
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 2870/429, 4223/3423?
Answer: GCF of Numerators as per given numbers 2870/429, 4223/3423 is
GCF of Numerators i.e. for 2870,4223 is 41
LCM of denominators i.e. for 429,3423 is 489489.
Thus, GCF of Fractions is 41/489489.Finally, GCF of Fractions for 2870/429, 4223/3423 is 41/489489.