GCF of 8457/366, 6720/8338
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8457/366, 6720/8338 i.e 3/1525854 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8457/366, 6720/8338.
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 8457/366,6720/8338?
Given fractions are 8457/366,6720/8338
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 8457/366,6720/8338, numerators are 8457,6720
Denominators are 366,8338
The GCF of 8457,6720 is 3 .
LCM of 366,8338 is 1525854.
The greatest common factor of 8457/366,6720/8338 = [GCF of 8457,6720]/[LCM of 366,8338]= 3/1525854
Therefore, the GCF of 8457/366,6720/8338 is 3/1525854.
To find the highest common factor of 8457,6720, we have to find the factors of both numbers and list the highest common factor.
The factors of 8457 are 1, 3, 2819, 8457
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 8457,6720 is 3.
Lets's calculate GCF of 8457,6720
| 3 | 8457, 6720 |
| 2819, 2240 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8457,6720 By Matching Biggest Common Factor Method
Now, list down the factors of 8457
:1,3,2819,8457
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 8457,6720 . The biggest common factor number is the GCF number.
So the greatest common factor 8457,6720 is 3.
Lets's calculate LCM of 366,8338
| 2 | 366, 8338 |
| 183, 4169 |
∴ So the LCM of the given numbers is 2 x 183 x 4169 = 1525854
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1525854
Therefore, the GCF of Fractions 8457/366,6720/8338 is 3/1525854
Least Common Multiple of 366,8338 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 366,8338 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(366,8338) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(366,8338) x common factors =2 x 1 = 2
LCM(366,8338) = ( 366 × 8338 ) / 2
LCM(366,8338) = 3051708 / 2
LCM(366,8338) = 1525854
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FAQs on GCF of Fractions of 8457/366, 6720/8338
1. What is the HCF of 8457,6720?
The HCF of 8457,6720 is 3
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 8457/366, 6720/8338?
Answer: GCF of Numerators as per given numbers 8457/366, 6720/8338 is
GCF of Numerators i.e. for 8457,6720 is 3
LCM of denominators i.e. for 366,8338 is 1525854.
Thus, GCF of Fractions is 3/1525854.Finally, GCF of Fractions for 8457/366, 6720/8338 is 3/1525854.