GCF of 4139/334, 7457/5974
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4139/334, 7457/5974 i.e 1/997658 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4139/334, 7457/5974.
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 4139/334,7457/5974?
Given fractions are 4139/334,7457/5974
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 4139/334,7457/5974, numerators are 4139,7457
Denominators are 334,5974
The GCF of 4139,7457 is 1 .
LCM of 334,5974 is 997658.
The greatest common factor of 4139/334,7457/5974 = [GCF of 4139,7457]/[LCM of 334,5974]= 1/997658
Therefore, the GCF of 4139/334,7457/5974 is 1/997658.
To find the highest common factor of 4139,7457, we have to find the factors of both numbers and list the highest common factor.
The factors of 4139 are 1, 4139
The factors of 7457 are 1, 7457
The HCF of 4139,7457 is 1.
Lets's calculate GCF of 4139,7457
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4139,7457 By Matching Biggest Common Factor Method
Now, list down the factors of 4139
:1,4139
Now, list down the factors of 7457
:1,7457
Greatest Common Factor
We found the factors 4139,7457 . The biggest common factor number is the GCF number.
So the greatest common factor 4139,7457 is 1.
Lets's calculate LCM of 334,5974
| 2 | 334, 5974 |
| 167, 2987 |
∴ So the LCM of the given numbers is 2 x 167 x 2987 = 997658
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/997658
Therefore, the GCF of Fractions 4139/334,7457/5974 is 1/997658
Least Common Multiple of 334,5974 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 334,5974 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(334,5974) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(334,5974) x common factors =2 x 1 = 2
LCM(334,5974) = ( 334 × 5974 ) / 2
LCM(334,5974) = 1995316 / 2
LCM(334,5974) = 997658
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FAQs on GCF of Fractions of 4139/334, 7457/5974
1. What is the HCF of 4139,7457?
The HCF of 4139,7457 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 4139/334, 7457/5974?
Answer: GCF of Numerators as per given numbers 4139/334, 7457/5974 is
GCF of Numerators i.e. for 4139,7457 is 1
LCM of denominators i.e. for 334,5974 is 997658.
Thus, GCF of Fractions is 1/997658.Finally, GCF of Fractions for 4139/334, 7457/5974 is 1/997658.