GCF of 4299/101, 6736/8585
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4299/101, 6736/8585 i.e 1/8585 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4299/101, 6736/8585.
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 4299/101,6736/8585?
Given fractions are 4299/101,6736/8585
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 4299/101,6736/8585, numerators are 4299,6736
Denominators are 101,8585
The GCF of 4299,6736 is 1 .
LCM of 101,8585 is 8585.
The greatest common factor of 4299/101,6736/8585 = [GCF of 4299,6736]/[LCM of 101,8585]= 1/8585
Therefore, the GCF of 4299/101,6736/8585 is 1/8585.
To find the highest common factor of 4299,6736, we have to find the factors of both numbers and list the highest common factor.
The factors of 4299 are 1, 3, 1433, 4299
The factors of 6736 are 1, 2, 4, 8, 16, 421, 842, 1684, 3368, 6736
The HCF of 4299,6736 is 1.
Lets's calculate GCF of 4299,6736
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4299,6736 By Matching Biggest Common Factor Method
Now, list down the factors of 4299
:1,3,1433,4299
Now, list down the factors of 6736
:1,2,4,8,16,421,842,1684,3368,6736
Greatest Common Factor
We found the factors 4299,6736 . The biggest common factor number is the GCF number.
So the greatest common factor 4299,6736 is 1.
Lets's calculate LCM of 101,8585
| 101 | 101, 8585 |
| 1, 85 |
∴ So the LCM of the given numbers is 101 x 1 x 85 = 8585
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8585
Therefore, the GCF of Fractions 4299/101,6736/8585 is 1/8585
Least Common Multiple of 101,8585 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 101,8585 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(101,8585) = 101
common factors(in case of two or more numbers have common factors) = 1
GCF(101,8585) x common factors =101 x 1 = 101
LCM(101,8585) = ( 101 × 8585 ) / 101
LCM(101,8585) = 867085 / 101
LCM(101,8585) = 8585
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FAQs on GCF of Fractions of 4299/101, 6736/8585
1. What is the HCF of 4299,6736?
The HCF of 4299,6736 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 4299/101, 6736/8585?
Answer: GCF of Numerators as per given numbers 4299/101, 6736/8585 is
GCF of Numerators i.e. for 4299,6736 is 1
LCM of denominators i.e. for 101,8585 is 8585.
Thus, GCF of Fractions is 1/8585.Finally, GCF of Fractions for 4299/101, 6736/8585 is 1/8585.