GCF of 4926/706, 6719/7462
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4926/706, 6719/7462 i.e 1/2634086 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4926/706, 6719/7462.
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 4926/706,6719/7462?
Given fractions are 4926/706,6719/7462
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 4926/706,6719/7462, numerators are 4926,6719
Denominators are 706,7462
The GCF of 4926,6719 is 1 .
LCM of 706,7462 is 2634086.
The greatest common factor of 4926/706,6719/7462 = [GCF of 4926,6719]/[LCM of 706,7462]= 1/2634086
Therefore, the GCF of 4926/706,6719/7462 is 1/2634086.
To find the highest common factor of 4926,6719, we have to find the factors of both numbers and list the highest common factor.
The factors of 4926 are 1, 2, 3, 6, 821, 1642, 2463, 4926
The factors of 6719 are 1, 6719
The HCF of 4926,6719 is 1.
Lets's calculate GCF of 4926,6719
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4926,6719 By Matching Biggest Common Factor Method
Now, list down the factors of 4926
:1,2,3,6,821,1642,2463,4926
Now, list down the factors of 6719
:1,6719
Greatest Common Factor
We found the factors 4926,6719 . The biggest common factor number is the GCF number.
So the greatest common factor 4926,6719 is 1.
Lets's calculate LCM of 706,7462
| 2 | 706, 7462 |
| 353, 3731 |
∴ So the LCM of the given numbers is 2 x 353 x 3731 = 2634086
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2634086
Therefore, the GCF of Fractions 4926/706,6719/7462 is 1/2634086
Least Common Multiple of 706,7462 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 706,7462 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(706,7462) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(706,7462) x common factors =2 x 1 = 2
LCM(706,7462) = ( 706 × 7462 ) / 2
LCM(706,7462) = 5268172 / 2
LCM(706,7462) = 2634086
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FAQs on GCF of Fractions of 4926/706, 6719/7462
1. What is the HCF of 4926,6719?
The HCF of 4926,6719 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 4926/706, 6719/7462?
Answer: GCF of Numerators as per given numbers 4926/706, 6719/7462 is
GCF of Numerators i.e. for 4926,6719 is 1
LCM of denominators i.e. for 706,7462 is 2634086.
Thus, GCF of Fractions is 1/2634086.Finally, GCF of Fractions for 4926/706, 6719/7462 is 1/2634086.