GCF of 4126/740, 4997/686
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4126/740, 4997/686 i.e 1/253820 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4126/740, 4997/686.
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 4126/740,4997/686?
Given fractions are 4126/740,4997/686
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 4126/740,4997/686, numerators are 4126,4997
Denominators are 740,686
The GCF of 4126,4997 is 1 .
LCM of 740,686 is 253820.
The greatest common factor of 4126/740,4997/686 = [GCF of 4126,4997]/[LCM of 740,686]= 1/253820
Therefore, the GCF of 4126/740,4997/686 is 1/253820.
To find the highest common factor of 4126,4997, we have to find the factors of both numbers and list the highest common factor.
The factors of 4126 are 1, 2, 2063, 4126
The factors of 4997 are 1, 19, 263, 4997
The HCF of 4126,4997 is 1.
Lets's calculate GCF of 4126,4997
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4126,4997 By Matching Biggest Common Factor Method
Now, list down the factors of 4126
:1,2,2063,4126
Now, list down the factors of 4997
:1,19,263,4997
Greatest Common Factor
We found the factors 4126,4997 . The biggest common factor number is the GCF number.
So the greatest common factor 4126,4997 is 1.
Lets's calculate LCM of 740,686
| 2 | 740, 686 |
| 370, 343 |
∴ So the LCM of the given numbers is 2 x 370 x 343 = 253820
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/253820
Therefore, the GCF of Fractions 4126/740,4997/686 is 1/253820
Least Common Multiple of 740,686 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 740,686 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(740,686) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(740,686) x common factors =2 x 1 = 2
LCM(740,686) = ( 740 × 686 ) / 2
LCM(740,686) = 507640 / 2
LCM(740,686) = 253820
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FAQs on GCF of Fractions of 4126/740, 4997/686
1. What is the HCF of 4126,4997?
The HCF of 4126,4997 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 4126/740, 4997/686?
Answer: GCF of Numerators as per given numbers 4126/740, 4997/686 is
GCF of Numerators i.e. for 4126,4997 is 1
LCM of denominators i.e. for 740,686 is 253820.
Thus, GCF of Fractions is 1/253820.Finally, GCF of Fractions for 4126/740, 4997/686 is 1/253820.