GCF of 8814/574, 7201/8156
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8814/574, 7201/8156 i.e 1/2340772 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8814/574, 7201/8156.
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 8814/574,7201/8156?
Given fractions are 8814/574,7201/8156
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 8814/574,7201/8156, numerators are 8814,7201
Denominators are 574,8156
The GCF of 8814,7201 is 1 .
LCM of 574,8156 is 2340772.
The greatest common factor of 8814/574,7201/8156 = [GCF of 8814,7201]/[LCM of 574,8156]= 1/2340772
Therefore, the GCF of 8814/574,7201/8156 is 1/2340772.
To find the highest common factor of 8814,7201, we have to find the factors of both numbers and list the highest common factor.
The factors of 8814 are 1, 2, 3, 6, 13, 26, 39, 78, 113, 226, 339, 678, 1469, 2938, 4407, 8814
The factors of 7201 are 1, 19, 379, 7201
The HCF of 8814,7201 is 1.
Lets's calculate GCF of 8814,7201
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8814,7201 By Matching Biggest Common Factor Method
Now, list down the factors of 8814
:1,2,3,6,13,26,39,78,113,226,339,678,1469,2938,4407,8814
Now, list down the factors of 7201
:1,19,379,7201
Greatest Common Factor
We found the factors 8814,7201 . The biggest common factor number is the GCF number.
So the greatest common factor 8814,7201 is 1.
Lets's calculate LCM of 574,8156
| 2 | 574, 8156 |
| 287, 4078 |
∴ So the LCM of the given numbers is 2 x 287 x 4078 = 2340772
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2340772
Therefore, the GCF of Fractions 8814/574,7201/8156 is 1/2340772
Least Common Multiple of 574,8156 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 574,8156 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(574,8156) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(574,8156) x common factors =2 x 1 = 2
LCM(574,8156) = ( 574 × 8156 ) / 2
LCM(574,8156) = 4681544 / 2
LCM(574,8156) = 2340772
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FAQs on GCF of Fractions of 8814/574, 7201/8156
1. What is the HCF of 8814,7201?
The HCF of 8814,7201 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 8814/574, 7201/8156?
Answer: GCF of Numerators as per given numbers 8814/574, 7201/8156 is
GCF of Numerators i.e. for 8814,7201 is 1
LCM of denominators i.e. for 574,8156 is 2340772.
Thus, GCF of Fractions is 1/2340772.Finally, GCF of Fractions for 8814/574, 7201/8156 is 1/2340772.