Use our free GCF of Fractions Calculator tool to compute the GCF of 3509/527, 8778/757 i.e 11/398939 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3509/527, 8778/757.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3509/527,8778/757
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 3509/527,8778/757, numerators are 3509,8778
Denominators are 527,757
The GCF of 3509,8778 is 11 .
LCM of 527,757 is 398939.
The greatest common factor of 3509/527,8778/757 = [GCF of 3509,8778]/[LCM of 527,757]= 11/398939
Therefore, the GCF of 3509/527,8778/757 is 11/398939.
To find the highest common factor of 3509,8778, we have to find the factors of both numbers and list the highest common factor.
The factors of 3509 are 1, 11, 29, 121, 319, 3509
The factors of 8778 are 1, 2, 3, 6, 7, 11, 14, 19, 21, 22, 33, 38, 42, 57, 66, 77, 114, 133, 154, 209, 231, 266, 399, 418, 462, 627, 798, 1254, 1463, 2926, 4389, 8778
The HCF of 3509,8778 is 11.
Lets's calculate GCF of 3509,8778
11 | 3509, 8778 |
319, 798 |
∴ So the GCF of the given numbers is 11 = 11
Now, list down the factors of 3509
:1,11,29,121,319,3509
Now, list down the factors of 8778
:1,2,3,6,7,11,14,19,21,22,33,38,42,57,66,77,114,133,154,209,231,266,399,418,462,627,798,1254,1463,2926,4389,8778
Greatest Common Factor
We found the factors 3509,8778 . The biggest common factor number is the GCF number.
So the greatest common factor 3509,8778 is 11.
Lets's calculate LCM of 527,757
Given numbers has no common factors except 1. So, there LCM is their product i.e 398939
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/398939
Therefore, the GCF of Fractions 3509/527,8778/757 is 11/398939
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 527,757 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(527,757) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(527,757) x common factors =1 x 1 = 1
LCM(527,757) = ( 527 × 757 ) / 1
LCM(527,757) = 398939 / 1
LCM(527,757) = 398939
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 3509,8778?
The HCF of 3509,8778 is 11
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 3509/527, 8778/757?
Answer: GCF of Numerators as per given numbers 3509/527, 8778/757 is
GCF of Numerators i.e. for 3509,8778 is 11
LCM of denominators i.e. for 527,757 is 398939.
Thus, GCF of Fractions is 11/398939.Finally, GCF of Fractions for 3509/527, 8778/757 is 11/398939.