GCF of 4924/811, 1526/5155
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4924/811, 1526/5155 i.e 2/4180705 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4924/811, 1526/5155.
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 4924/811,1526/5155?
Given fractions are 4924/811,1526/5155
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 4924/811,1526/5155, numerators are 4924,1526
Denominators are 811,5155
The GCF of 4924,1526 is 2 .
LCM of 811,5155 is 4180705.
The greatest common factor of 4924/811,1526/5155 = [GCF of 4924,1526]/[LCM of 811,5155]= 2/4180705
Therefore, the GCF of 4924/811,1526/5155 is 2/4180705.
To find the highest common factor of 4924,1526, we have to find the factors of both numbers and list the highest common factor.
The factors of 4924 are 1, 2, 4, 1231, 2462, 4924
The factors of 1526 are 1, 2, 7, 14, 109, 218, 763, 1526
The HCF of 4924,1526 is 2.
Lets's calculate GCF of 4924,1526
| 2 | 4924, 1526 |
| 2462, 763 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4924,1526 By Matching Biggest Common Factor Method
Now, list down the factors of 4924
:1,2,4,1231,2462,4924
Now, list down the factors of 1526
:1,2,7,14,109,218,763,1526
Greatest Common Factor
We found the factors 4924,1526 . The biggest common factor number is the GCF number.
So the greatest common factor 4924,1526 is 2.
Lets's calculate LCM of 811,5155
Given numbers has no common factors except 1. So, there LCM is their product i.e 4180705
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4180705
Therefore, the GCF of Fractions 4924/811,1526/5155 is 2/4180705
Least Common Multiple of 811,5155 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 811,5155 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(811,5155) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(811,5155) x common factors =1 x 1 = 1
LCM(811,5155) = ( 811 × 5155 ) / 1
LCM(811,5155) = 4180705 / 1
LCM(811,5155) = 4180705
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FAQs on GCF of Fractions of 4924/811, 1526/5155
1. What is the HCF of 4924,1526?
The HCF of 4924,1526 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 4924/811, 1526/5155?
Answer: GCF of Numerators as per given numbers 4924/811, 1526/5155 is
GCF of Numerators i.e. for 4924,1526 is 2
LCM of denominators i.e. for 811,5155 is 4180705.
Thus, GCF of Fractions is 2/4180705.Finally, GCF of Fractions for 4924/811, 1526/5155 is 2/4180705.