GCF of 8390/174, 9145/2870
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8390/174, 9145/2870 i.e 5/249690 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8390/174, 9145/2870.
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 8390/174,9145/2870?
Given fractions are 8390/174,9145/2870
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 8390/174,9145/2870, numerators are 8390,9145
Denominators are 174,2870
The GCF of 8390,9145 is 5 .
LCM of 174,2870 is 249690.
The greatest common factor of 8390/174,9145/2870 = [GCF of 8390,9145]/[LCM of 174,2870]= 5/249690
Therefore, the GCF of 8390/174,9145/2870 is 5/249690.
To find the highest common factor of 8390,9145, we have to find the factors of both numbers and list the highest common factor.
The factors of 8390 are 1, 2, 5, 10, 839, 1678, 4195, 8390
The factors of 9145 are 1, 5, 31, 59, 155, 295, 1829, 9145
The HCF of 8390,9145 is 5.
Lets's calculate GCF of 8390,9145
| 5 | 8390, 9145 |
| 1678, 1829 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 8390,9145 By Matching Biggest Common Factor Method
Now, list down the factors of 8390
:1,2,5,10,839,1678,4195,8390
Now, list down the factors of 9145
:1,5,31,59,155,295,1829,9145
Greatest Common Factor
We found the factors 8390,9145 . The biggest common factor number is the GCF number.
So the greatest common factor 8390,9145 is 5.
Lets's calculate LCM of 174,2870
| 2 | 174, 2870 |
| 87, 1435 |
∴ So the LCM of the given numbers is 2 x 87 x 1435 = 249690
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/249690
Therefore, the GCF of Fractions 8390/174,9145/2870 is 5/249690
Least Common Multiple of 174,2870 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 174,2870 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(174,2870) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(174,2870) x common factors =2 x 1 = 2
LCM(174,2870) = ( 174 × 2870 ) / 2
LCM(174,2870) = 499380 / 2
LCM(174,2870) = 249690
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FAQs on GCF of Fractions of 8390/174, 9145/2870
1. What is the HCF of 8390,9145?
The HCF of 8390,9145 is 5
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 8390/174, 9145/2870?
Answer: GCF of Numerators as per given numbers 8390/174, 9145/2870 is
GCF of Numerators i.e. for 8390,9145 is 5
LCM of denominators i.e. for 174,2870 is 249690.
Thus, GCF of Fractions is 5/249690.Finally, GCF of Fractions for 8390/174, 9145/2870 is 5/249690.