GCF of 6536/238, 6900/8384
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6536/238, 6900/8384 i.e 4/997696 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6536/238, 6900/8384.
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 6536/238,6900/8384?
Given fractions are 6536/238,6900/8384
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 6536/238,6900/8384, numerators are 6536,6900
Denominators are 238,8384
The GCF of 6536,6900 is 4 .
LCM of 238,8384 is 997696.
The greatest common factor of 6536/238,6900/8384 = [GCF of 6536,6900]/[LCM of 238,8384]= 4/997696
Therefore, the GCF of 6536/238,6900/8384 is 4/997696.
To find the highest common factor of 6536,6900, we have to find the factors of both numbers and list the highest common factor.
The factors of 6536 are 1, 2, 4, 8, 19, 38, 43, 76, 86, 152, 172, 344, 817, 1634, 3268, 6536
The factors of 6900 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 23, 25, 30, 46, 50, 60, 69, 75, 92, 100, 115, 138, 150, 230, 276, 300, 345, 460, 575, 690, 1150, 1380, 1725, 2300, 3450, 6900
The HCF of 6536,6900 is 4.
Lets's calculate GCF of 6536,6900
| 2 | 6536, 6900 |
| 2 | 3268, 3450 |
| 1634, 1725 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 6536,6900 By Matching Biggest Common Factor Method
Now, list down the factors of 6536
:1,2,4,8,19,38,43,76,86,152,172,344,817,1634,3268,6536
Now, list down the factors of 6900
:1,2,3,4,5,6,10,12,15,20,23,25,30,46,50,60,69,75,92,100,115,138,150,230,276,300,345,460,575,690,1150,1380,1725,2300,3450,6900
Greatest Common Factor
We found the factors 6536,6900 . The biggest common factor number is the GCF number.
So the greatest common factor 6536,6900 is 4.
Lets's calculate LCM of 238,8384
| 2 | 238, 8384 |
| 119, 4192 |
∴ So the LCM of the given numbers is 2 x 119 x 4192 = 997696
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/997696
Therefore, the GCF of Fractions 6536/238,6900/8384 is 4/997696
Least Common Multiple of 238,8384 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 238,8384 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(238,8384) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(238,8384) x common factors =2 x 1 = 2
LCM(238,8384) = ( 238 × 8384 ) / 2
LCM(238,8384) = 1995392 / 2
LCM(238,8384) = 997696
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FAQs on GCF of Fractions of 6536/238, 6900/8384
1. What is the HCF of 6536,6900?
The HCF of 6536,6900 is 4
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 6536/238, 6900/8384?
Answer: GCF of Numerators as per given numbers 6536/238, 6900/8384 is
GCF of Numerators i.e. for 6536,6900 is 4
LCM of denominators i.e. for 238,8384 is 997696.
Thus, GCF of Fractions is 4/997696.Finally, GCF of Fractions for 6536/238, 6900/8384 is 4/997696.