Use our free GCF of Fractions Calculator tool to compute the GCF of 748/918, 909/676 i.e 1/310284 easily. The following is the detailed procedure to determine the greatest common factor of fractions 748/918, 909/676.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 748/918,909/676
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 748/918,909/676, numerators are 748,909
Denominators are 918,676
The GCF of 748,909 is 1 .
LCM of 918,676 is 310284.
The greatest common factor of 748/918,909/676 = [GCF of 748,909]/[LCM of 918,676]= 1/310284
Therefore, the GCF of 748/918,909/676 is 1/310284.
To find the highest common factor of 748,909, we have to find the factors of both numbers and list the highest common factor.
The factors of 748 are 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
The factors of 909 are 1, 3, 9, 101, 303, 909
The HCF of 748,909 is 1.
Lets's calculate GCF of 748,909
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 748
:1,2,4,11,17,22,34,44,68,187,374,748
Now, list down the factors of 909
:1,3,9,101,303,909
Greatest Common Factor
We found the factors 748,909 . The biggest common factor number is the GCF number.
So the greatest common factor 748,909 is 1.
Lets's calculate LCM of 918,676
2 | 918, 676 |
459, 338 |
∴ So the LCM of the given numbers is 2 x 459 x 338 = 310284
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/310284
Therefore, the GCF of Fractions 748/918,909/676 is 1/310284
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 918,676 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(918,676) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(918,676) x common factors =2 x 1 = 2
LCM(918,676) = ( 918 × 676 ) / 2
LCM(918,676) = 620568 / 2
LCM(918,676) = 310284
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 748,909?
The HCF of 748,909 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 748/918, 909/676?
Answer: GCF of Numerators as per given numbers 748/918, 909/676 is
GCF of Numerators i.e. for 748,909 is 1
LCM of denominators i.e. for 918,676 is 310284.
Thus, GCF of Fractions is 1/310284.Finally, GCF of Fractions for 748/918, 909/676 is 1/310284.