GCF of 4876/790, 7430/8613
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4876/790, 7430/8613 i.e 2/6804270 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4876/790, 7430/8613.
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 4876/790,7430/8613?
Given fractions are 4876/790,7430/8613
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 4876/790,7430/8613, numerators are 4876,7430
Denominators are 790,8613
The GCF of 4876,7430 is 2 .
LCM of 790,8613 is 6804270.
The greatest common factor of 4876/790,7430/8613 = [GCF of 4876,7430]/[LCM of 790,8613]= 2/6804270
Therefore, the GCF of 4876/790,7430/8613 is 2/6804270.
To find the highest common factor of 4876,7430, we have to find the factors of both numbers and list the highest common factor.
The factors of 4876 are 1, 2, 4, 23, 46, 53, 92, 106, 212, 1219, 2438, 4876
The factors of 7430 are 1, 2, 5, 10, 743, 1486, 3715, 7430
The HCF of 4876,7430 is 2.
Lets's calculate GCF of 4876,7430
| 2 | 4876, 7430 |
| 2438, 3715 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4876,7430 By Matching Biggest Common Factor Method
Now, list down the factors of 4876
:1,2,4,23,46,53,92,106,212,1219,2438,4876
Now, list down the factors of 7430
:1,2,5,10,743,1486,3715,7430
Greatest Common Factor
We found the factors 4876,7430 . The biggest common factor number is the GCF number.
So the greatest common factor 4876,7430 is 2.
Lets's calculate LCM of 790,8613
Given numbers has no common factors except 1. So, there LCM is their product i.e 6804270
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6804270
Therefore, the GCF of Fractions 4876/790,7430/8613 is 2/6804270
Least Common Multiple of 790,8613 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 790,8613 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(790,8613) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(790,8613) x common factors =1 x 1 = 1
LCM(790,8613) = ( 790 × 8613 ) / 1
LCM(790,8613) = 6804270 / 1
LCM(790,8613) = 6804270
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FAQs on GCF of Fractions of 4876/790, 7430/8613
1. What is the HCF of 4876,7430?
The HCF of 4876,7430 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 4876/790, 7430/8613?
Answer: GCF of Numerators as per given numbers 4876/790, 7430/8613 is
GCF of Numerators i.e. for 4876,7430 is 2
LCM of denominators i.e. for 790,8613 is 6804270.
Thus, GCF of Fractions is 2/6804270.Finally, GCF of Fractions for 4876/790, 7430/8613 is 2/6804270.