GCF of 674/877, 3338/335
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 674/877, 3338/335 i.e 2/293795 easily. The following is the detailed procedure to determine the greatest common factor of fractions 674/877, 3338/335.
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 674/877,3338/335?
Given fractions are 674/877,3338/335
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 674/877,3338/335, numerators are 674,3338
Denominators are 877,335
The GCF of 674,3338 is 2 .
LCM of 877,335 is 293795.
The greatest common factor of 674/877,3338/335 = [GCF of 674,3338]/[LCM of 877,335]= 2/293795
Therefore, the GCF of 674/877,3338/335 is 2/293795.
To find the highest common factor of 674,3338, 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 3338 are 1, 2, 1669, 3338
The HCF of 674,3338 is 2.
Lets's calculate GCF of 674,3338
| 2 | 674, 3338 |
| 337, 1669 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 674,3338 By Matching Biggest Common Factor Method
Now, list down the factors of 674
:1,2,337,674
Now, list down the factors of 3338
:1,2,1669,3338
Greatest Common Factor
We found the factors 674,3338 . The biggest common factor number is the GCF number.
So the greatest common factor 674,3338 is 2.
Lets's calculate LCM of 877,335
Given numbers has no common factors except 1. So, there LCM is their product i.e 293795
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/293795
Therefore, the GCF of Fractions 674/877,3338/335 is 2/293795
Least Common Multiple of 877,335 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 877,335 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(877,335) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(877,335) x common factors =1 x 1 = 1
LCM(877,335) = ( 877 × 335 ) / 1
LCM(877,335) = 293795 / 1
LCM(877,335) = 293795
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FAQs on GCF of Fractions of 674/877, 3338/335
1. What is the HCF of 674,3338?
The HCF of 674,3338 is 2
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 674/877, 3338/335?
Answer: GCF of Numerators as per given numbers 674/877, 3338/335 is
GCF of Numerators i.e. for 674,3338 is 2
LCM of denominators i.e. for 877,335 is 293795.
Thus, GCF of Fractions is 2/293795.Finally, GCF of Fractions for 674/877, 3338/335 is 2/293795.