GCF of 674/321, 1101/1170
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 674/321, 1101/1170 i.e 1/125190 easily. The following is the detailed procedure to determine the greatest common factor of fractions 674/321, 1101/1170.
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 674/321,1101/1170?
Given fractions are 674/321,1101/1170
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 674/321,1101/1170, numerators are 674,1101
Denominators are 321,1170
The GCF of 674,1101 is 1 .
LCM of 321,1170 is 125190.
The greatest common factor of 674/321,1101/1170 = [GCF of 674,1101]/[LCM of 321,1170]= 1/125190
Therefore, the GCF of 674/321,1101/1170 is 1/125190.
To find the highest common factor of 674,1101, we have to find the factors of both numbers and list the highest common factor.
The factors of 674 are 1, 2, 337, 674
The factors of 1101 are 1, 3, 367, 1101
The HCF of 674,1101 is 1.
Lets's calculate GCF of 674,1101
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 674,1101 By Matching Biggest Common Factor Method
Now, list down the factors of 674
:1,2,337,674
Now, list down the factors of 1101
:1,3,367,1101
Greatest Common Factor
We found the factors 674,1101 . The biggest common factor number is the GCF number.
So the greatest common factor 674,1101 is 1.
Lets's calculate LCM of 321,1170
| 3 | 321, 1170 |
| 107, 390 |
∴ So the LCM of the given numbers is 3 x 107 x 390 = 125190
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/125190
Therefore, the GCF of Fractions 674/321,1101/1170 is 1/125190
Least Common Multiple of 321,1170 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 321,1170 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(321,1170) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(321,1170) x common factors =3 x 1 = 3
LCM(321,1170) = ( 321 × 1170 ) / 3
LCM(321,1170) = 375570 / 3
LCM(321,1170) = 125190
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FAQs on GCF of Fractions of 674/321, 1101/1170
1. What is the HCF of 674,1101?
The HCF of 674,1101 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 674/321, 1101/1170?
Answer: GCF of Numerators as per given numbers 674/321, 1101/1170 is
GCF of Numerators i.e. for 674,1101 is 1
LCM of denominators i.e. for 321,1170 is 125190.
Thus, GCF of Fractions is 1/125190.Finally, GCF of Fractions for 674/321, 1101/1170 is 1/125190.