Use our free GCF of Fractions Calculator tool to compute the GCF of 511/385, 269/980 i.e 1/10780 easily. The following is the detailed procedure to determine the greatest common factor of fractions 511/385, 269/980.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 511/385,269/980
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 511/385,269/980, numerators are 511,269
Denominators are 385,980
The GCF of 511,269 is 1 .
LCM of 385,980 is 10780.
The greatest common factor of 511/385,269/980 = [GCF of 511,269]/[LCM of 385,980]= 1/10780
Therefore, the GCF of 511/385,269/980 is 1/10780.
To find the highest common factor of 511,269, we have to find the factors of both numbers and list the highest common factor.
The factors of 511 are 1, 7, 73, 511
The factors of 269 are 1, 269
The HCF of 511,269 is 1.
Lets's calculate GCF of 511,269
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 511
:1,7,73,511
Now, list down the factors of 269
:1,269
Greatest Common Factor
We found the factors 511,269 . The biggest common factor number is the GCF number.
So the greatest common factor 511,269 is 1.
Lets's calculate LCM of 385,980
5 | 385, 980 |
7 | 77, 196 |
11, 28 |
∴ So the LCM of the given numbers is 5 x 7 x 11 x 28 = 10780
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10780
Therefore, the GCF of Fractions 511/385,269/980 is 1/10780
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 385,980 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(385,980) = 35
common factors(in case of two or more numbers have common factors) = 1
GCF(385,980) x common factors =35 x 1 = 35
LCM(385,980) = ( 385 × 980 ) / 35
LCM(385,980) = 377300 / 35
LCM(385,980) = 10780
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 511,269?
The HCF of 511,269 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 511/385, 269/980?
Answer: GCF of Numerators as per given numbers 511/385, 269/980 is
GCF of Numerators i.e. for 511,269 is 1
LCM of denominators i.e. for 385,980 is 10780.
Thus, GCF of Fractions is 1/10780.Finally, GCF of Fractions for 511/385, 269/980 is 1/10780.