GCF of 424/132, 2280/9490
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 424/132, 2280/9490 i.e 8/626340 easily. The following is the detailed procedure to determine the greatest common factor of fractions 424/132, 2280/9490.
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 424/132,2280/9490?
Given fractions are 424/132,2280/9490
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 424/132,2280/9490, numerators are 424,2280
Denominators are 132,9490
The GCF of 424,2280 is 8 .
LCM of 132,9490 is 626340.
The greatest common factor of 424/132,2280/9490 = [GCF of 424,2280]/[LCM of 132,9490]= 8/626340
Therefore, the GCF of 424/132,2280/9490 is 8/626340.
To find the highest common factor of 424,2280, 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 2280 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 19, 20, 24, 30, 38, 40, 57, 60, 76, 95, 114, 120, 152, 190, 228, 285, 380, 456, 570, 760, 1140, 2280
The HCF of 424,2280 is 8.
Lets's calculate GCF of 424,2280
| 2 | 424, 2280 |
| 2 | 212, 1140 |
| 2 | 106, 570 |
| 53, 285 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 424,2280 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 2280
:1,2,3,4,5,6,8,10,12,15,19,20,24,30,38,40,57,60,76,95,114,120,152,190,228,285,380,456,570,760,1140,2280
Greatest Common Factor
We found the factors 424,2280 . The biggest common factor number is the GCF number.
So the greatest common factor 424,2280 is 8.
Lets's calculate LCM of 132,9490
| 2 | 132, 9490 |
| 66, 4745 |
∴ So the LCM of the given numbers is 2 x 66 x 4745 = 626340
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/626340
Therefore, the GCF of Fractions 424/132,2280/9490 is 8/626340
Least Common Multiple of 132,9490 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 132,9490 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(132,9490) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(132,9490) x common factors =2 x 1 = 2
LCM(132,9490) = ( 132 × 9490 ) / 2
LCM(132,9490) = 1252680 / 2
LCM(132,9490) = 626340
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 424/132, 2280/9490
1. What is the HCF of 424,2280?
The HCF of 424,2280 is 8
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 424/132, 2280/9490?
Answer: GCF of Numerators as per given numbers 424/132, 2280/9490 is
GCF of Numerators i.e. for 424,2280 is 8
LCM of denominators i.e. for 132,9490 is 626340.
Thus, GCF of Fractions is 8/626340.Finally, GCF of Fractions for 424/132, 2280/9490 is 8/626340.