GCF of 4570/510, 4763/862
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4570/510, 4763/862 i.e 1/219810 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4570/510, 4763/862.
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 4570/510,4763/862?
Given fractions are 4570/510,4763/862
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 4570/510,4763/862, numerators are 4570,4763
Denominators are 510,862
The GCF of 4570,4763 is 1 .
LCM of 510,862 is 219810.
The greatest common factor of 4570/510,4763/862 = [GCF of 4570,4763]/[LCM of 510,862]= 1/219810
Therefore, the GCF of 4570/510,4763/862 is 1/219810.
To find the highest common factor of 4570,4763, we have to find the factors of both numbers and list the highest common factor.
The factors of 4570 are 1, 2, 5, 10, 457, 914, 2285, 4570
The factors of 4763 are 1, 11, 433, 4763
The HCF of 4570,4763 is 1.
Lets's calculate GCF of 4570,4763
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4570,4763 By Matching Biggest Common Factor Method
Now, list down the factors of 4570
:1,2,5,10,457,914,2285,4570
Now, list down the factors of 4763
:1,11,433,4763
Greatest Common Factor
We found the factors 4570,4763 . The biggest common factor number is the GCF number.
So the greatest common factor 4570,4763 is 1.
Lets's calculate LCM of 510,862
| 2 | 510, 862 |
| 255, 431 |
∴ So the LCM of the given numbers is 2 x 255 x 431 = 219810
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/219810
Therefore, the GCF of Fractions 4570/510,4763/862 is 1/219810
Least Common Multiple of 510,862 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 510,862 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(510,862) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(510,862) x common factors =2 x 1 = 2
LCM(510,862) = ( 510 × 862 ) / 2
LCM(510,862) = 439620 / 2
LCM(510,862) = 219810
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FAQs on GCF of Fractions of 4570/510, 4763/862
1. What is the HCF of 4570,4763?
The HCF of 4570,4763 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 4570/510, 4763/862?
Answer: GCF of Numerators as per given numbers 4570/510, 4763/862 is
GCF of Numerators i.e. for 4570,4763 is 1
LCM of denominators i.e. for 510,862 is 219810.
Thus, GCF of Fractions is 1/219810.Finally, GCF of Fractions for 4570/510, 4763/862 is 1/219810.