GCF of 6953/609, 9500/6216
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6953/609, 9500/6216 i.e 1/180264 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6953/609, 9500/6216.
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 6953/609,9500/6216?
Given fractions are 6953/609,9500/6216
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 6953/609,9500/6216, numerators are 6953,9500
Denominators are 609,6216
The GCF of 6953,9500 is 1 .
LCM of 609,6216 is 180264.
The greatest common factor of 6953/609,9500/6216 = [GCF of 6953,9500]/[LCM of 609,6216]= 1/180264
Therefore, the GCF of 6953/609,9500/6216 is 1/180264.
To find the highest common factor of 6953,9500, we have to find the factors of both numbers and list the highest common factor.
The factors of 6953 are 1, 17, 409, 6953
The factors of 9500 are 1, 2, 4, 5, 10, 19, 20, 25, 38, 50, 76, 95, 100, 125, 190, 250, 380, 475, 500, 950, 1900, 2375, 4750, 9500
The HCF of 6953,9500 is 1.
Lets's calculate GCF of 6953,9500
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6953,9500 By Matching Biggest Common Factor Method
Now, list down the factors of 6953
:1,17,409,6953
Now, list down the factors of 9500
:1,2,4,5,10,19,20,25,38,50,76,95,100,125,190,250,380,475,500,950,1900,2375,4750,9500
Greatest Common Factor
We found the factors 6953,9500 . The biggest common factor number is the GCF number.
So the greatest common factor 6953,9500 is 1.
Lets's calculate LCM of 609,6216
| 3 | 609, 6216 |
| 7 | 203, 2072 |
| 29, 296 |
∴ So the LCM of the given numbers is 3 x 7 x 29 x 296 = 180264
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/180264
Therefore, the GCF of Fractions 6953/609,9500/6216 is 1/180264
Least Common Multiple of 609,6216 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 609,6216 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(609,6216) = 21
common factors(in case of two or more numbers have common factors) = 1
GCF(609,6216) x common factors =21 x 1 = 21
LCM(609,6216) = ( 609 × 6216 ) / 21
LCM(609,6216) = 3785544 / 21
LCM(609,6216) = 180264
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FAQs on GCF of Fractions of 6953/609, 9500/6216
1. What is the HCF of 6953,9500?
The HCF of 6953,9500 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 6953/609, 9500/6216?
Answer: GCF of Numerators as per given numbers 6953/609, 9500/6216 is
GCF of Numerators i.e. for 6953,9500 is 1
LCM of denominators i.e. for 609,6216 is 180264.
Thus, GCF of Fractions is 1/180264.Finally, GCF of Fractions for 6953/609, 9500/6216 is 1/180264.