GCF of 424/70, 583/210
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 424/70, 583/210 i.e 53/210 easily. The following is the detailed procedure to determine the greatest common factor of fractions 424/70, 583/210.
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 424/70,583/210?
Given fractions are 424/70,583/210
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 424/70,583/210, numerators are 424,583
Denominators are 70,210
The GCF of 424,583 is 53 .
LCM of 70,210 is 210.
The greatest common factor of 424/70,583/210 = [GCF of 424,583]/[LCM of 70,210]= 53/210
Therefore, the GCF of 424/70,583/210 is 53/210.
To find the highest common factor of 424,583, we have to find the factors of both numbers and list the highest common factor.
The factors of 424 are 1, 2, 4, 8, 53, 106, 212, 424
The factors of 583 are 1, 11, 53, 583
The HCF of 424,583 is 53.
Lets's calculate GCF of 424,583
| 53 | 424, 583 |
| 8, 11 |
∴ So the GCF of the given numbers is 53 = 53
Greatest Common Factor of 424,583 By Matching Biggest Common Factor Method
Now, list down the factors of 424
:1,2,4,8,53,106,212,424
Now, list down the factors of 583
:1,11,53,583
Greatest Common Factor
We found the factors 424,583 . The biggest common factor number is the GCF number.
So the greatest common factor 424,583 is 53.
Lets's calculate LCM of 70,210
| 2 | 70, 210 |
| 5 | 35, 105 |
| 7 | 7, 21 |
| 1, 3 |
∴ So the LCM of the given numbers is 2 x 5 x 7 x 1 x 3 = 210
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 53/210
Therefore, the GCF of Fractions 424/70,583/210 is 53/210
Least Common Multiple of 70,210 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 70,210 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(70,210) = 70
common factors(in case of two or more numbers have common factors) = 1
GCF(70,210) x common factors =70 x 1 = 70
LCM(70,210) = ( 70 × 210 ) / 70
LCM(70,210) = 14700 / 70
LCM(70,210) = 210
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 424/70, 583/210
1. What is the HCF of 424,583?
The HCF of 424,583 is 53
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 424/70, 583/210?
Answer: GCF of Numerators as per given numbers 424/70, 583/210 is
GCF of Numerators i.e. for 424,583 is 53
LCM of denominators i.e. for 70,210 is 210.
Thus, GCF of Fractions is 53/210.Finally, GCF of Fractions for 424/70, 583/210 is 53/210.