GCF of 5375/838, 6720/4324
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5375/838, 6720/4324 i.e 5/1811756 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5375/838, 6720/4324.
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 5375/838,6720/4324?
Given fractions are 5375/838,6720/4324
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 5375/838,6720/4324, numerators are 5375,6720
Denominators are 838,4324
The GCF of 5375,6720 is 5 .
LCM of 838,4324 is 1811756.
The greatest common factor of 5375/838,6720/4324 = [GCF of 5375,6720]/[LCM of 838,4324]= 5/1811756
Therefore, the GCF of 5375/838,6720/4324 is 5/1811756.
To find the highest common factor of 5375,6720, we have to find the factors of both numbers and list the highest common factor.
The factors of 5375 are 1, 5, 25, 43, 125, 215, 1075, 5375
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 5375,6720 is 5.
Lets's calculate GCF of 5375,6720
| 5 | 5375, 6720 |
| 1075, 1344 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 5375,6720 By Matching Biggest Common Factor Method
Now, list down the factors of 5375
:1,5,25,43,125,215,1075,5375
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 5375,6720 . The biggest common factor number is the GCF number.
So the greatest common factor 5375,6720 is 5.
Lets's calculate LCM of 838,4324
| 2 | 838, 4324 |
| 419, 2162 |
∴ So the LCM of the given numbers is 2 x 419 x 2162 = 1811756
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1811756
Therefore, the GCF of Fractions 5375/838,6720/4324 is 5/1811756
Least Common Multiple of 838,4324 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 838,4324 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(838,4324) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(838,4324) x common factors =2 x 1 = 2
LCM(838,4324) = ( 838 × 4324 ) / 2
LCM(838,4324) = 3623512 / 2
LCM(838,4324) = 1811756
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FAQs on GCF of Fractions of 5375/838, 6720/4324
1. What is the HCF of 5375,6720?
The HCF of 5375,6720 is 5
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 5375/838, 6720/4324?
Answer: GCF of Numerators as per given numbers 5375/838, 6720/4324 is
GCF of Numerators i.e. for 5375,6720 is 5
LCM of denominators i.e. for 838,4324 is 1811756.
Thus, GCF of Fractions is 5/1811756.Finally, GCF of Fractions for 5375/838, 6720/4324 is 5/1811756.