GCF of 4418/674, 3142/4072
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4418/674, 3142/4072 i.e 2/1372264 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4418/674, 3142/4072.
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 4418/674,3142/4072?
Given fractions are 4418/674,3142/4072
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 4418/674,3142/4072, numerators are 4418,3142
Denominators are 674,4072
The GCF of 4418,3142 is 2 .
LCM of 674,4072 is 1372264.
The greatest common factor of 4418/674,3142/4072 = [GCF of 4418,3142]/[LCM of 674,4072]= 2/1372264
Therefore, the GCF of 4418/674,3142/4072 is 2/1372264.
To find the highest common factor of 4418,3142, we have to find the factors of both numbers and list the highest common factor.
The factors of 4418 are 1, 2, 47, 94, 2209, 4418
The factors of 3142 are 1, 2, 1571, 3142
The HCF of 4418,3142 is 2.
Lets's calculate GCF of 4418,3142
| 2 | 4418, 3142 |
| 2209, 1571 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4418,3142 By Matching Biggest Common Factor Method
Now, list down the factors of 4418
:1,2,47,94,2209,4418
Now, list down the factors of 3142
:1,2,1571,3142
Greatest Common Factor
We found the factors 4418,3142 . The biggest common factor number is the GCF number.
So the greatest common factor 4418,3142 is 2.
Lets's calculate LCM of 674,4072
| 2 | 674, 4072 |
| 337, 2036 |
∴ So the LCM of the given numbers is 2 x 337 x 2036 = 1372264
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1372264
Therefore, the GCF of Fractions 4418/674,3142/4072 is 2/1372264
Least Common Multiple of 674,4072 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 674,4072 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(674,4072) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(674,4072) x common factors =2 x 1 = 2
LCM(674,4072) = ( 674 × 4072 ) / 2
LCM(674,4072) = 2744528 / 2
LCM(674,4072) = 1372264
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FAQs on GCF of Fractions of 4418/674, 3142/4072
1. What is the HCF of 4418,3142?
The HCF of 4418,3142 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 4418/674, 3142/4072?
Answer: GCF of Numerators as per given numbers 4418/674, 3142/4072 is
GCF of Numerators i.e. for 4418,3142 is 2
LCM of denominators i.e. for 674,4072 is 1372264.
Thus, GCF of Fractions is 2/1372264.Finally, GCF of Fractions for 4418/674, 3142/4072 is 2/1372264.