GCF of 6099/126, 3173/8264
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6099/126, 3173/8264 i.e 19/520632 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6099/126, 3173/8264.
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 6099/126,3173/8264?
Given fractions are 6099/126,3173/8264
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 6099/126,3173/8264, numerators are 6099,3173
Denominators are 126,8264
The GCF of 6099,3173 is 19 .
LCM of 126,8264 is 520632.
The greatest common factor of 6099/126,3173/8264 = [GCF of 6099,3173]/[LCM of 126,8264]= 19/520632
Therefore, the GCF of 6099/126,3173/8264 is 19/520632.
To find the highest common factor of 6099,3173, we have to find the factors of both numbers and list the highest common factor.
The factors of 6099 are 1, 3, 19, 57, 107, 321, 2033, 6099
The factors of 3173 are 1, 19, 167, 3173
The HCF of 6099,3173 is 19.
Lets's calculate GCF of 6099,3173
| 19 | 6099, 3173 |
| 321, 167 |
∴ So the GCF of the given numbers is 19 = 19
Greatest Common Factor of 6099,3173 By Matching Biggest Common Factor Method
Now, list down the factors of 6099
:1,3,19,57,107,321,2033,6099
Now, list down the factors of 3173
:1,19,167,3173
Greatest Common Factor
We found the factors 6099,3173 . The biggest common factor number is the GCF number.
So the greatest common factor 6099,3173 is 19.
Lets's calculate LCM of 126,8264
| 2 | 126, 8264 |
| 63, 4132 |
∴ So the LCM of the given numbers is 2 x 63 x 4132 = 520632
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/520632
Therefore, the GCF of Fractions 6099/126,3173/8264 is 19/520632
Least Common Multiple of 126,8264 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 126,8264 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(126,8264) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(126,8264) x common factors =2 x 1 = 2
LCM(126,8264) = ( 126 × 8264 ) / 2
LCM(126,8264) = 1041264 / 2
LCM(126,8264) = 520632
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FAQs on GCF of Fractions of 6099/126, 3173/8264
1. What is the HCF of 6099,3173?
The HCF of 6099,3173 is 19
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 6099/126, 3173/8264?
Answer: GCF of Numerators as per given numbers 6099/126, 3173/8264 is
GCF of Numerators i.e. for 6099,3173 is 19
LCM of denominators i.e. for 126,8264 is 520632.
Thus, GCF of Fractions is 19/520632.Finally, GCF of Fractions for 6099/126, 3173/8264 is 19/520632.