GCF of 8298/635, 6736/2153
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8298/635, 6736/2153 i.e 2/1367155 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8298/635, 6736/2153.
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 8298/635,6736/2153?
Given fractions are 8298/635,6736/2153
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 8298/635,6736/2153, numerators are 8298,6736
Denominators are 635,2153
The GCF of 8298,6736 is 2 .
LCM of 635,2153 is 1367155.
The greatest common factor of 8298/635,6736/2153 = [GCF of 8298,6736]/[LCM of 635,2153]= 2/1367155
Therefore, the GCF of 8298/635,6736/2153 is 2/1367155.
To find the highest common factor of 8298,6736, we have to find the factors of both numbers and list the highest common factor.
The factors of 8298 are 1, 2, 3, 6, 9, 18, 461, 922, 1383, 2766, 4149, 8298
The factors of 6736 are 1, 2, 4, 8, 16, 421, 842, 1684, 3368, 6736
The HCF of 8298,6736 is 2.
Lets's calculate GCF of 8298,6736
| 2 | 8298, 6736 |
| 4149, 3368 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8298,6736 By Matching Biggest Common Factor Method
Now, list down the factors of 8298
:1,2,3,6,9,18,461,922,1383,2766,4149,8298
Now, list down the factors of 6736
:1,2,4,8,16,421,842,1684,3368,6736
Greatest Common Factor
We found the factors 8298,6736 . The biggest common factor number is the GCF number.
So the greatest common factor 8298,6736 is 2.
Lets's calculate LCM of 635,2153
Given numbers has no common factors except 1. So, there LCM is their product i.e 1367155
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1367155
Therefore, the GCF of Fractions 8298/635,6736/2153 is 2/1367155
Least Common Multiple of 635,2153 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 635,2153 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(635,2153) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(635,2153) x common factors =1 x 1 = 1
LCM(635,2153) = ( 635 × 2153 ) / 1
LCM(635,2153) = 1367155 / 1
LCM(635,2153) = 1367155
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FAQs on GCF of Fractions of 8298/635, 6736/2153
1. What is the HCF of 8298,6736?
The HCF of 8298,6736 is 2
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 8298/635, 6736/2153?
Answer: GCF of Numerators as per given numbers 8298/635, 6736/2153 is
GCF of Numerators i.e. for 8298,6736 is 2
LCM of denominators i.e. for 635,2153 is 1367155.
Thus, GCF of Fractions is 2/1367155.Finally, GCF of Fractions for 8298/635, 6736/2153 is 2/1367155.