GCF of 8498/909, 8372/200
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8498/909, 8372/200 i.e 14/181800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8498/909, 8372/200.
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 8498/909,8372/200?
Given fractions are 8498/909,8372/200
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 8498/909,8372/200, numerators are 8498,8372
Denominators are 909,200
The GCF of 8498,8372 is 14 .
LCM of 909,200 is 181800.
The greatest common factor of 8498/909,8372/200 = [GCF of 8498,8372]/[LCM of 909,200]= 14/181800
Therefore, the GCF of 8498/909,8372/200 is 14/181800.
To find the highest common factor of 8498,8372, we have to find the factors of both numbers and list the highest common factor.
The factors of 8498 are 1, 2, 7, 14, 607, 1214, 4249, 8498
The factors of 8372 are 1, 2, 4, 7, 13, 14, 23, 26, 28, 46, 52, 91, 92, 161, 182, 299, 322, 364, 598, 644, 1196, 2093, 4186, 8372
The HCF of 8498,8372 is 14.
Lets's calculate GCF of 8498,8372
| 2 | 8498, 8372 |
| 7 | 4249, 4186 |
| 607, 598 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 8498,8372 By Matching Biggest Common Factor Method
Now, list down the factors of 8498
:1,2,7,14,607,1214,4249,8498
Now, list down the factors of 8372
:1,2,4,7,13,14,23,26,28,46,52,91,92,161,182,299,322,364,598,644,1196,2093,4186,8372
Greatest Common Factor
We found the factors 8498,8372 . The biggest common factor number is the GCF number.
So the greatest common factor 8498,8372 is 14.
Lets's calculate LCM of 909,200
Given numbers has no common factors except 1. So, there LCM is their product i.e 181800
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/181800
Therefore, the GCF of Fractions 8498/909,8372/200 is 14/181800
Least Common Multiple of 909,200 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 909,200 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(909,200) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(909,200) x common factors =1 x 1 = 1
LCM(909,200) = ( 909 × 200 ) / 1
LCM(909,200) = 181800 / 1
LCM(909,200) = 181800
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FAQs on GCF of Fractions of 8498/909, 8372/200
1. What is the HCF of 8498,8372?
The HCF of 8498,8372 is 14
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 8498/909, 8372/200?
Answer: GCF of Numerators as per given numbers 8498/909, 8372/200 is
GCF of Numerators i.e. for 8498,8372 is 14
LCM of denominators i.e. for 909,200 is 181800.
Thus, GCF of Fractions is 14/181800.Finally, GCF of Fractions for 8498/909, 8372/200 is 14/181800.