GCF of 4154/724, 7882/4829
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4154/724, 7882/4829 i.e 2/3496196 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4154/724, 7882/4829.
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 4154/724,7882/4829?
Given fractions are 4154/724,7882/4829
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 4154/724,7882/4829, numerators are 4154,7882
Denominators are 724,4829
The GCF of 4154,7882 is 2 .
LCM of 724,4829 is 3496196.
The greatest common factor of 4154/724,7882/4829 = [GCF of 4154,7882]/[LCM of 724,4829]= 2/3496196
Therefore, the GCF of 4154/724,7882/4829 is 2/3496196.
To find the highest common factor of 4154,7882, we have to find the factors of both numbers and list the highest common factor.
The factors of 4154 are 1, 2, 31, 62, 67, 134, 2077, 4154
The factors of 7882 are 1, 2, 7, 14, 563, 1126, 3941, 7882
The HCF of 4154,7882 is 2.
Lets's calculate GCF of 4154,7882
| 2 | 4154, 7882 |
| 2077, 3941 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4154,7882 By Matching Biggest Common Factor Method
Now, list down the factors of 4154
:1,2,31,62,67,134,2077,4154
Now, list down the factors of 7882
:1,2,7,14,563,1126,3941,7882
Greatest Common Factor
We found the factors 4154,7882 . The biggest common factor number is the GCF number.
So the greatest common factor 4154,7882 is 2.
Lets's calculate LCM of 724,4829
Given numbers has no common factors except 1. So, there LCM is their product i.e 3496196
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3496196
Therefore, the GCF of Fractions 4154/724,7882/4829 is 2/3496196
Least Common Multiple of 724,4829 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 724,4829 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(724,4829) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(724,4829) x common factors =1 x 1 = 1
LCM(724,4829) = ( 724 × 4829 ) / 1
LCM(724,4829) = 3496196 / 1
LCM(724,4829) = 3496196
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4154/724, 7882/4829
1. What is the HCF of 4154,7882?
The HCF of 4154,7882 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 4154/724, 7882/4829?
Answer: GCF of Numerators as per given numbers 4154/724, 7882/4829 is
GCF of Numerators i.e. for 4154,7882 is 2
LCM of denominators i.e. for 724,4829 is 3496196.
Thus, GCF of Fractions is 2/3496196.Finally, GCF of Fractions for 4154/724, 7882/4829 is 2/3496196.