GCF of 3199/662, 8463/919
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3199/662, 8463/919 i.e 7/608378 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3199/662, 8463/919.
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 3199/662,8463/919?
Given fractions are 3199/662,8463/919
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 3199/662,8463/919, numerators are 3199,8463
Denominators are 662,919
The GCF of 3199,8463 is 7 .
LCM of 662,919 is 608378.
The greatest common factor of 3199/662,8463/919 = [GCF of 3199,8463]/[LCM of 662,919]= 7/608378
Therefore, the GCF of 3199/662,8463/919 is 7/608378.
To find the highest common factor of 3199,8463, we have to find the factors of both numbers and list the highest common factor.
The factors of 3199 are 1, 7, 457, 3199
The factors of 8463 are 1, 3, 7, 13, 21, 31, 39, 91, 93, 217, 273, 403, 651, 1209, 2821, 8463
The HCF of 3199,8463 is 7.
Lets's calculate GCF of 3199,8463
| 7 | 3199, 8463 |
| 457, 1209 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 3199,8463 By Matching Biggest Common Factor Method
Now, list down the factors of 3199
:1,7,457,3199
Now, list down the factors of 8463
:1,3,7,13,21,31,39,91,93,217,273,403,651,1209,2821,8463
Greatest Common Factor
We found the factors 3199,8463 . The biggest common factor number is the GCF number.
So the greatest common factor 3199,8463 is 7.
Lets's calculate LCM of 662,919
Given numbers has no common factors except 1. So, there LCM is their product i.e 608378
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/608378
Therefore, the GCF of Fractions 3199/662,8463/919 is 7/608378
Least Common Multiple of 662,919 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 662,919 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(662,919) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(662,919) x common factors =1 x 1 = 1
LCM(662,919) = ( 662 × 919 ) / 1
LCM(662,919) = 608378 / 1
LCM(662,919) = 608378
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FAQs on GCF of Fractions of 3199/662, 8463/919
1. What is the HCF of 3199,8463?
The HCF of 3199,8463 is 7
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 3199/662, 8463/919?
Answer: GCF of Numerators as per given numbers 3199/662, 8463/919 is
GCF of Numerators i.e. for 3199,8463 is 7
LCM of denominators i.e. for 662,919 is 608378.
Thus, GCF of Fractions is 7/608378.Finally, GCF of Fractions for 3199/662, 8463/919 is 7/608378.