GCF of 4763/920, 5111/5414
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4763/920, 5111/5414 i.e 1/2490440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4763/920, 5111/5414.
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 4763/920,5111/5414?
Given fractions are 4763/920,5111/5414
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 4763/920,5111/5414, numerators are 4763,5111
Denominators are 920,5414
The GCF of 4763,5111 is 1 .
LCM of 920,5414 is 2490440.
The greatest common factor of 4763/920,5111/5414 = [GCF of 4763,5111]/[LCM of 920,5414]= 1/2490440
Therefore, the GCF of 4763/920,5111/5414 is 1/2490440.
To find the highest common factor of 4763,5111, we have to find the factors of both numbers and list the highest common factor.
The factors of 4763 are 1, 11, 433, 4763
The factors of 5111 are 1, 19, 269, 5111
The HCF of 4763,5111 is 1.
Lets's calculate GCF of 4763,5111
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4763,5111 By Matching Biggest Common Factor Method
Now, list down the factors of 4763
:1,11,433,4763
Now, list down the factors of 5111
:1,19,269,5111
Greatest Common Factor
We found the factors 4763,5111 . The biggest common factor number is the GCF number.
So the greatest common factor 4763,5111 is 1.
Lets's calculate LCM of 920,5414
| 2 | 920, 5414 |
| 460, 2707 |
∴ So the LCM of the given numbers is 2 x 460 x 2707 = 2490440
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2490440
Therefore, the GCF of Fractions 4763/920,5111/5414 is 1/2490440
Least Common Multiple of 920,5414 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 920,5414 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(920,5414) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(920,5414) x common factors =2 x 1 = 2
LCM(920,5414) = ( 920 × 5414 ) / 2
LCM(920,5414) = 4980880 / 2
LCM(920,5414) = 2490440
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FAQs on GCF of Fractions of 4763/920, 5111/5414
1. What is the HCF of 4763,5111?
The HCF of 4763,5111 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 4763/920, 5111/5414?
Answer: GCF of Numerators as per given numbers 4763/920, 5111/5414 is
GCF of Numerators i.e. for 4763,5111 is 1
LCM of denominators i.e. for 920,5414 is 2490440.
Thus, GCF of Fractions is 1/2490440.Finally, GCF of Fractions for 4763/920, 5111/5414 is 1/2490440.