GCF of 7829/462, 6981/5275
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7829/462, 6981/5275 i.e 1/2437050 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7829/462, 6981/5275.
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 7829/462,6981/5275?
Given fractions are 7829/462,6981/5275
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 7829/462,6981/5275, numerators are 7829,6981
Denominators are 462,5275
The GCF of 7829,6981 is 1 .
LCM of 462,5275 is 2437050.
The greatest common factor of 7829/462,6981/5275 = [GCF of 7829,6981]/[LCM of 462,5275]= 1/2437050
Therefore, the GCF of 7829/462,6981/5275 is 1/2437050.
To find the highest common factor of 7829,6981, we have to find the factors of both numbers and list the highest common factor.
The factors of 7829 are 1, 7829
The factors of 6981 are 1, 3, 13, 39, 179, 537, 2327, 6981
The HCF of 7829,6981 is 1.
Lets's calculate GCF of 7829,6981
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7829,6981 By Matching Biggest Common Factor Method
Now, list down the factors of 7829
:1,7829
Now, list down the factors of 6981
:1,3,13,39,179,537,2327,6981
Greatest Common Factor
We found the factors 7829,6981 . The biggest common factor number is the GCF number.
So the greatest common factor 7829,6981 is 1.
Lets's calculate LCM of 462,5275
Given numbers has no common factors except 1. So, there LCM is their product i.e 2437050
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2437050
Therefore, the GCF of Fractions 7829/462,6981/5275 is 1/2437050
Least Common Multiple of 462,5275 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 462,5275 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(462,5275) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(462,5275) x common factors =1 x 1 = 1
LCM(462,5275) = ( 462 × 5275 ) / 1
LCM(462,5275) = 2437050 / 1
LCM(462,5275) = 2437050
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FAQs on GCF of Fractions of 7829/462, 6981/5275
1. What is the HCF of 7829,6981?
The HCF of 7829,6981 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 7829/462, 6981/5275?
Answer: GCF of Numerators as per given numbers 7829/462, 6981/5275 is
GCF of Numerators i.e. for 7829,6981 is 1
LCM of denominators i.e. for 462,5275 is 2437050.
Thus, GCF of Fractions is 1/2437050.Finally, GCF of Fractions for 7829/462, 6981/5275 is 1/2437050.