GCF of 3674/229, 8851/5793
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3674/229, 8851/5793 i.e 167/1326597 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3674/229, 8851/5793.
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 3674/229,8851/5793?
Given fractions are 3674/229,8851/5793
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 3674/229,8851/5793, numerators are 3674,8851
Denominators are 229,5793
The GCF of 3674,8851 is 167 .
LCM of 229,5793 is 1326597.
The greatest common factor of 3674/229,8851/5793 = [GCF of 3674,8851]/[LCM of 229,5793]= 167/1326597
Therefore, the GCF of 3674/229,8851/5793 is 167/1326597.
To find the highest common factor of 3674,8851, we have to find the factors of both numbers and list the highest common factor.
The factors of 3674 are 1, 2, 11, 22, 167, 334, 1837, 3674
The factors of 8851 are 1, 53, 167, 8851
The HCF of 3674,8851 is 167.
Lets's calculate GCF of 3674,8851
| 167 | 3674, 8851 |
| 22, 53 |
∴ So the GCF of the given numbers is 167 = 167
Greatest Common Factor of 3674,8851 By Matching Biggest Common Factor Method
Now, list down the factors of 3674
:1,2,11,22,167,334,1837,3674
Now, list down the factors of 8851
:1,53,167,8851
Greatest Common Factor
We found the factors 3674,8851 . The biggest common factor number is the GCF number.
So the greatest common factor 3674,8851 is 167.
Lets's calculate LCM of 229,5793
Given numbers has no common factors except 1. So, there LCM is their product i.e 1326597
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 167/1326597
Therefore, the GCF of Fractions 3674/229,8851/5793 is 167/1326597
Least Common Multiple of 229,5793 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 229,5793 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(229,5793) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(229,5793) x common factors =1 x 1 = 1
LCM(229,5793) = ( 229 × 5793 ) / 1
LCM(229,5793) = 1326597 / 1
LCM(229,5793) = 1326597
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FAQs on GCF of Fractions of 3674/229, 8851/5793
1. What is the HCF of 3674,8851?
The HCF of 3674,8851 is 167
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 3674/229, 8851/5793?
Answer: GCF of Numerators as per given numbers 3674/229, 8851/5793 is
GCF of Numerators i.e. for 3674,8851 is 167
LCM of denominators i.e. for 229,5793 is 1326597.
Thus, GCF of Fractions is 167/1326597.Finally, GCF of Fractions for 3674/229, 8851/5793 is 167/1326597.