GCF of 6224/159, 9170/8195
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6224/159, 9170/8195 i.e 2/1303005 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6224/159, 9170/8195.
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 6224/159,9170/8195?
Given fractions are 6224/159,9170/8195
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 6224/159,9170/8195, numerators are 6224,9170
Denominators are 159,8195
The GCF of 6224,9170 is 2 .
LCM of 159,8195 is 1303005.
The greatest common factor of 6224/159,9170/8195 = [GCF of 6224,9170]/[LCM of 159,8195]= 2/1303005
Therefore, the GCF of 6224/159,9170/8195 is 2/1303005.
To find the highest common factor of 6224,9170, we have to find the factors of both numbers and list the highest common factor.
The factors of 6224 are 1, 2, 4, 8, 16, 389, 778, 1556, 3112, 6224
The factors of 9170 are 1, 2, 5, 7, 10, 14, 35, 70, 131, 262, 655, 917, 1310, 1834, 4585, 9170
The HCF of 6224,9170 is 2.
Lets's calculate GCF of 6224,9170
| 2 | 6224, 9170 |
| 3112, 4585 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6224,9170 By Matching Biggest Common Factor Method
Now, list down the factors of 6224
:1,2,4,8,16,389,778,1556,3112,6224
Now, list down the factors of 9170
:1,2,5,7,10,14,35,70,131,262,655,917,1310,1834,4585,9170
Greatest Common Factor
We found the factors 6224,9170 . The biggest common factor number is the GCF number.
So the greatest common factor 6224,9170 is 2.
Lets's calculate LCM of 159,8195
Given numbers has no common factors except 1. So, there LCM is their product i.e 1303005
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1303005
Therefore, the GCF of Fractions 6224/159,9170/8195 is 2/1303005
Least Common Multiple of 159,8195 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 159,8195 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(159,8195) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(159,8195) x common factors =1 x 1 = 1
LCM(159,8195) = ( 159 × 8195 ) / 1
LCM(159,8195) = 1303005 / 1
LCM(159,8195) = 1303005
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FAQs on GCF of Fractions of 6224/159, 9170/8195
1. What is the HCF of 6224,9170?
The HCF of 6224,9170 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 6224/159, 9170/8195?
Answer: GCF of Numerators as per given numbers 6224/159, 9170/8195 is
GCF of Numerators i.e. for 6224,9170 is 2
LCM of denominators i.e. for 159,8195 is 1303005.
Thus, GCF of Fractions is 2/1303005.Finally, GCF of Fractions for 6224/159, 9170/8195 is 2/1303005.