Use our free GCF of Fractions Calculator tool to compute the GCF of 907/402, 898/348 i.e 1/23316 easily. The following is the detailed procedure to determine the greatest common factor of fractions 907/402, 898/348.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 907/402,898/348
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 907/402,898/348, numerators are 907,898
Denominators are 402,348
The GCF of 907,898 is 1 .
LCM of 402,348 is 23316.
The greatest common factor of 907/402,898/348 = [GCF of 907,898]/[LCM of 402,348]= 1/23316
Therefore, the GCF of 907/402,898/348 is 1/23316.
To find the highest common factor of 907,898, we have to find the factors of both numbers and list the highest common factor.
The factors of 907 are 1, 907
The factors of 898 are 1, 2, 449, 898
The HCF of 907,898 is 1.
Lets's calculate GCF of 907,898
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 907
:1,907
Now, list down the factors of 898
:1,2,449,898
Greatest Common Factor
We found the factors 907,898 . The biggest common factor number is the GCF number.
So the greatest common factor 907,898 is 1.
Lets's calculate LCM of 402,348
2 | 402, 348 |
3 | 201, 174 |
67, 58 |
∴ So the LCM of the given numbers is 2 x 3 x 67 x 58 = 23316
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23316
Therefore, the GCF of Fractions 907/402,898/348 is 1/23316
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 402,348 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(402,348) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(402,348) x common factors =6 x 1 = 6
LCM(402,348) = ( 402 × 348 ) / 6
LCM(402,348) = 139896 / 6
LCM(402,348) = 23316
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 907,898?
The HCF of 907,898 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 907/402, 898/348?
Answer: GCF of Numerators as per given numbers 907/402, 898/348 is
GCF of Numerators i.e. for 907,898 is 1
LCM of denominators i.e. for 402,348 is 23316.
Thus, GCF of Fractions is 1/23316.Finally, GCF of Fractions for 907/402, 898/348 is 1/23316.