GCF of 1095/449, 8739/3006
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1095/449, 8739/3006 i.e 3/1349694 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1095/449, 8739/3006.
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 1095/449,8739/3006?
Given fractions are 1095/449,8739/3006
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 1095/449,8739/3006, numerators are 1095,8739
Denominators are 449,3006
The GCF of 1095,8739 is 3 .
LCM of 449,3006 is 1349694.
The greatest common factor of 1095/449,8739/3006 = [GCF of 1095,8739]/[LCM of 449,3006]= 3/1349694
Therefore, the GCF of 1095/449,8739/3006 is 3/1349694.
To find the highest common factor of 1095,8739, we have to find the factors of both numbers and list the highest common factor.
The factors of 1095 are 1, 3, 5, 15, 73, 219, 365, 1095
The factors of 8739 are 1, 3, 9, 971, 2913, 8739
The HCF of 1095,8739 is 3.
Lets's calculate GCF of 1095,8739
| 3 | 1095, 8739 |
| 365, 2913 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1095,8739 By Matching Biggest Common Factor Method
Now, list down the factors of 1095
:1,3,5,15,73,219,365,1095
Now, list down the factors of 8739
:1,3,9,971,2913,8739
Greatest Common Factor
We found the factors 1095,8739 . The biggest common factor number is the GCF number.
So the greatest common factor 1095,8739 is 3.
Lets's calculate LCM of 449,3006
Given numbers has no common factors except 1. So, there LCM is their product i.e 1349694
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1349694
Therefore, the GCF of Fractions 1095/449,8739/3006 is 3/1349694
Least Common Multiple of 449,3006 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 449,3006 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(449,3006) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(449,3006) x common factors =1 x 1 = 1
LCM(449,3006) = ( 449 × 3006 ) / 1
LCM(449,3006) = 1349694 / 1
LCM(449,3006) = 1349694
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FAQs on GCF of Fractions of 1095/449, 8739/3006
1. What is the HCF of 1095,8739?
The HCF of 1095,8739 is 3
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 1095/449, 8739/3006?
Answer: GCF of Numerators as per given numbers 1095/449, 8739/3006 is
GCF of Numerators i.e. for 1095,8739 is 3
LCM of denominators i.e. for 449,3006 is 1349694.
Thus, GCF of Fractions is 3/1349694.Finally, GCF of Fractions for 1095/449, 8739/3006 is 3/1349694.