GCF of 4240/238, 6543/700
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4240/238, 6543/700 i.e 1/11900 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4240/238, 6543/700.
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 4240/238,6543/700?
Given fractions are 4240/238,6543/700
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 4240/238,6543/700, numerators are 4240,6543
Denominators are 238,700
The GCF of 4240,6543 is 1 .
LCM of 238,700 is 11900.
The greatest common factor of 4240/238,6543/700 = [GCF of 4240,6543]/[LCM of 238,700]= 1/11900
Therefore, the GCF of 4240/238,6543/700 is 1/11900.
To find the highest common factor of 4240,6543, we have to find the factors of both numbers and list the highest common factor.
The factors of 4240 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 53, 80, 106, 212, 265, 424, 530, 848, 1060, 2120, 4240
The factors of 6543 are 1, 3, 9, 727, 2181, 6543
The HCF of 4240,6543 is 1.
Lets's calculate GCF of 4240,6543
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4240,6543 By Matching Biggest Common Factor Method
Now, list down the factors of 4240
:1,2,4,5,8,10,16,20,40,53,80,106,212,265,424,530,848,1060,2120,4240
Now, list down the factors of 6543
:1,3,9,727,2181,6543
Greatest Common Factor
We found the factors 4240,6543 . The biggest common factor number is the GCF number.
So the greatest common factor 4240,6543 is 1.
Lets's calculate LCM of 238,700
| 2 | 238, 700 |
| 7 | 119, 350 |
| 17, 50 |
∴ So the LCM of the given numbers is 2 x 7 x 17 x 50 = 11900
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11900
Therefore, the GCF of Fractions 4240/238,6543/700 is 1/11900
Least Common Multiple of 238,700 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 238,700 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(238,700) = 14
common factors(in case of two or more numbers have common factors) = 1
GCF(238,700) x common factors =14 x 1 = 14
LCM(238,700) = ( 238 × 700 ) / 14
LCM(238,700) = 166600 / 14
LCM(238,700) = 11900
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FAQs on GCF of Fractions of 4240/238, 6543/700
1. What is the HCF of 4240,6543?
The HCF of 4240,6543 is 1
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 4240/238, 6543/700?
Answer: GCF of Numerators as per given numbers 4240/238, 6543/700 is
GCF of Numerators i.e. for 4240,6543 is 1
LCM of denominators i.e. for 238,700 is 11900.
Thus, GCF of Fractions is 1/11900.Finally, GCF of Fractions for 4240/238, 6543/700 is 1/11900.