GCF of 3174/851, 4642/4041
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3174/851, 4642/4041 i.e 2/3438891 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3174/851, 4642/4041.
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 3174/851,4642/4041?
Given fractions are 3174/851,4642/4041
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 3174/851,4642/4041, numerators are 3174,4642
Denominators are 851,4041
The GCF of 3174,4642 is 2 .
LCM of 851,4041 is 3438891.
The greatest common factor of 3174/851,4642/4041 = [GCF of 3174,4642]/[LCM of 851,4041]= 2/3438891
Therefore, the GCF of 3174/851,4642/4041 is 2/3438891.
To find the highest common factor of 3174,4642, we have to find the factors of both numbers and list the highest common factor.
The factors of 3174 are 1, 2, 3, 6, 23, 46, 69, 138, 529, 1058, 1587, 3174
The factors of 4642 are 1, 2, 11, 22, 211, 422, 2321, 4642
The HCF of 3174,4642 is 2.
Lets's calculate GCF of 3174,4642
| 2 | 3174, 4642 |
| 1587, 2321 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3174,4642 By Matching Biggest Common Factor Method
Now, list down the factors of 3174
:1,2,3,6,23,46,69,138,529,1058,1587,3174
Now, list down the factors of 4642
:1,2,11,22,211,422,2321,4642
Greatest Common Factor
We found the factors 3174,4642 . The biggest common factor number is the GCF number.
So the greatest common factor 3174,4642 is 2.
Lets's calculate LCM of 851,4041
Given numbers has no common factors except 1. So, there LCM is their product i.e 3438891
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3438891
Therefore, the GCF of Fractions 3174/851,4642/4041 is 2/3438891
Least Common Multiple of 851,4041 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 851,4041 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(851,4041) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(851,4041) x common factors =1 x 1 = 1
LCM(851,4041) = ( 851 × 4041 ) / 1
LCM(851,4041) = 3438891 / 1
LCM(851,4041) = 3438891
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FAQs on GCF of Fractions of 3174/851, 4642/4041
1. What is the HCF of 3174,4642?
The HCF of 3174,4642 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 3174/851, 4642/4041?
Answer: GCF of Numerators as per given numbers 3174/851, 4642/4041 is
GCF of Numerators i.e. for 3174,4642 is 2
LCM of denominators i.e. for 851,4041 is 3438891.
Thus, GCF of Fractions is 2/3438891.Finally, GCF of Fractions for 3174/851, 4642/4041 is 2/3438891.