GCF of 1770/264, 6720/436
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1770/264, 6720/436 i.e 30/28776 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1770/264, 6720/436.
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 1770/264,6720/436?
Given fractions are 1770/264,6720/436
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 1770/264,6720/436, numerators are 1770,6720
Denominators are 264,436
The GCF of 1770,6720 is 30 .
LCM of 264,436 is 28776.
The greatest common factor of 1770/264,6720/436 = [GCF of 1770,6720]/[LCM of 264,436]= 30/28776
Therefore, the GCF of 1770/264,6720/436 is 30/28776.
To find the highest common factor of 1770,6720, we have to find the factors of both numbers and list the highest common factor.
The factors of 1770 are 1, 2, 3, 5, 6, 10, 15, 30, 59, 118, 177, 295, 354, 590, 885, 1770
The factors of 6720 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 28, 30, 32, 35, 40, 42, 48, 56, 60, 64, 70, 80, 84, 96, 105, 112, 120, 140, 160, 168, 192, 210, 224, 240, 280, 320, 336, 420, 448, 480, 560, 672, 840, 960, 1120, 1344, 1680, 2240, 3360, 6720
The HCF of 1770,6720 is 30.
Lets's calculate GCF of 1770,6720
| 2 | 1770, 6720 |
| 3 | 885, 3360 |
| 5 | 295, 1120 |
| 59, 224 |
∴ So the GCF of the given numbers is 2 x 3 x 5 = 30
Greatest Common Factor of 1770,6720 By Matching Biggest Common Factor Method
Now, list down the factors of 1770
:1,2,3,5,6,10,15,30,59,118,177,295,354,590,885,1770
Now, list down the factors of 6720
:1,2,3,4,5,6,7,8,10,12,14,15,16,20,21,24,28,30,32,35,40,42,48,56,60,64,70,80,84,96,105,112,120,140,160,168,192,210,224,240,280,320,336,420,448,480,560,672,840,960,1120,1344,1680,2240,3360,6720
Greatest Common Factor
We found the factors 1770,6720 . The biggest common factor number is the GCF number.
So the greatest common factor 1770,6720 is 30.
Lets's calculate LCM of 264,436
| 2 | 264, 436 |
| 2 | 132, 218 |
| 66, 109 |
∴ So the LCM of the given numbers is 2 x 2 x 66 x 109 = 28776
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 30/28776
Therefore, the GCF of Fractions 1770/264,6720/436 is 30/28776
Least Common Multiple of 264,436 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 264,436 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(264,436) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(264,436) x common factors =4 x 1 = 4
LCM(264,436) = ( 264 × 436 ) / 4
LCM(264,436) = 115104 / 4
LCM(264,436) = 28776
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FAQs on GCF of Fractions of 1770/264, 6720/436
1. What is the HCF of 1770,6720?
The HCF of 1770,6720 is 30
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 1770/264, 6720/436?
Answer: GCF of Numerators as per given numbers 1770/264, 6720/436 is
GCF of Numerators i.e. for 1770,6720 is 30
LCM of denominators i.e. for 264,436 is 28776.
Thus, GCF of Fractions is 30/28776.Finally, GCF of Fractions for 1770/264, 6720/436 is 30/28776.