GCF of 506/876, 6340/2103
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 506/876, 6340/2103 i.e 2/614076 easily. The following is the detailed procedure to determine the greatest common factor of fractions 506/876, 6340/2103.
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 506/876,6340/2103?
Given fractions are 506/876,6340/2103
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 506/876,6340/2103, numerators are 506,6340
Denominators are 876,2103
The GCF of 506,6340 is 2 .
LCM of 876,2103 is 614076.
The greatest common factor of 506/876,6340/2103 = [GCF of 506,6340]/[LCM of 876,2103]= 2/614076
Therefore, the GCF of 506/876,6340/2103 is 2/614076.
To find the highest common factor of 506,6340, we have to find the factors of both numbers and list the highest common factor.
The factors of 506 are 1, 2, 11, 22, 23, 46, 253, 506
The factors of 6340 are 1, 2, 4, 5, 10, 20, 317, 634, 1268, 1585, 3170, 6340
The HCF of 506,6340 is 2.
Lets's calculate GCF of 506,6340
| 2 | 506, 6340 |
| 253, 3170 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 506,6340 By Matching Biggest Common Factor Method
Now, list down the factors of 506
:1,2,11,22,23,46,253,506
Now, list down the factors of 6340
:1,2,4,5,10,20,317,634,1268,1585,3170,6340
Greatest Common Factor
We found the factors 506,6340 . The biggest common factor number is the GCF number.
So the greatest common factor 506,6340 is 2.
Lets's calculate LCM of 876,2103
| 3 | 876, 2103 |
| 292, 701 |
∴ So the LCM of the given numbers is 3 x 292 x 701 = 614076
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/614076
Therefore, the GCF of Fractions 506/876,6340/2103 is 2/614076
Least Common Multiple of 876,2103 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 876,2103 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(876,2103) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(876,2103) x common factors =3 x 1 = 3
LCM(876,2103) = ( 876 × 2103 ) / 3
LCM(876,2103) = 1842228 / 3
LCM(876,2103) = 614076
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 506/876, 6340/2103
1. What is the HCF of 506,6340?
The HCF of 506,6340 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 506/876, 6340/2103?
Answer: GCF of Numerators as per given numbers 506/876, 6340/2103 is
GCF of Numerators i.e. for 506,6340 is 2
LCM of denominators i.e. for 876,2103 is 614076.
Thus, GCF of Fractions is 2/614076.Finally, GCF of Fractions for 506/876, 6340/2103 is 2/614076.