GCF of 8890/370, 8741/4374
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8890/370, 8741/4374 i.e 1/809190 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8890/370, 8741/4374.
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 8890/370,8741/4374?
Given fractions are 8890/370,8741/4374
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 8890/370,8741/4374, numerators are 8890,8741
Denominators are 370,4374
The GCF of 8890,8741 is 1 .
LCM of 370,4374 is 809190.
The greatest common factor of 8890/370,8741/4374 = [GCF of 8890,8741]/[LCM of 370,4374]= 1/809190
Therefore, the GCF of 8890/370,8741/4374 is 1/809190.
To find the highest common factor of 8890,8741, we have to find the factors of both numbers and list the highest common factor.
The factors of 8890 are 1, 2, 5, 7, 10, 14, 35, 70, 127, 254, 635, 889, 1270, 1778, 4445, 8890
The factors of 8741 are 1, 8741
The HCF of 8890,8741 is 1.
Lets's calculate GCF of 8890,8741
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8890,8741 By Matching Biggest Common Factor Method
Now, list down the factors of 8890
:1,2,5,7,10,14,35,70,127,254,635,889,1270,1778,4445,8890
Now, list down the factors of 8741
:1,8741
Greatest Common Factor
We found the factors 8890,8741 . The biggest common factor number is the GCF number.
So the greatest common factor 8890,8741 is 1.
Lets's calculate LCM of 370,4374
| 2 | 370, 4374 |
| 185, 2187 |
∴ So the LCM of the given numbers is 2 x 185 x 2187 = 809190
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/809190
Therefore, the GCF of Fractions 8890/370,8741/4374 is 1/809190
Least Common Multiple of 370,4374 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 370,4374 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(370,4374) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(370,4374) x common factors =2 x 1 = 2
LCM(370,4374) = ( 370 × 4374 ) / 2
LCM(370,4374) = 1618380 / 2
LCM(370,4374) = 809190
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FAQs on GCF of Fractions of 8890/370, 8741/4374
1. What is the HCF of 8890,8741?
The HCF of 8890,8741 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 8890/370, 8741/4374?
Answer: GCF of Numerators as per given numbers 8890/370, 8741/4374 is
GCF of Numerators i.e. for 8890,8741 is 1
LCM of denominators i.e. for 370,4374 is 809190.
Thus, GCF of Fractions is 1/809190.Finally, GCF of Fractions for 8890/370, 8741/4374 is 1/809190.