Use our free GCF of Fractions Calculator tool to compute the GCF of 895/942, 418/456 i.e 1/71592 easily. The following is the detailed procedure to determine the greatest common factor of fractions 895/942, 418/456.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 895/942,418/456
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 895/942,418/456, numerators are 895,418
Denominators are 942,456
The GCF of 895,418 is 1 .
LCM of 942,456 is 71592.
The greatest common factor of 895/942,418/456 = [GCF of 895,418]/[LCM of 942,456]= 1/71592
Therefore, the GCF of 895/942,418/456 is 1/71592.
To find the highest common factor of 895,418, we have to find the factors of both numbers and list the highest common factor.
The factors of 895 are 1, 5, 179, 895
The factors of 418 are 1, 2, 11, 19, 22, 38, 209, 418
The HCF of 895,418 is 1.
Lets's calculate GCF of 895,418
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 895
:1,5,179,895
Now, list down the factors of 418
:1,2,11,19,22,38,209,418
Greatest Common Factor
We found the factors 895,418 . The biggest common factor number is the GCF number.
So the greatest common factor 895,418 is 1.
Lets's calculate LCM of 942,456
2 | 942, 456 |
3 | 471, 228 |
157, 76 |
∴ So the LCM of the given numbers is 2 x 3 x 157 x 76 = 71592
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/71592
Therefore, the GCF of Fractions 895/942,418/456 is 1/71592
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 942,456 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(942,456) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(942,456) x common factors =6 x 1 = 6
LCM(942,456) = ( 942 × 456 ) / 6
LCM(942,456) = 429552 / 6
LCM(942,456) = 71592
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 895,418?
The HCF of 895,418 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 895/942, 418/456?
Answer: GCF of Numerators as per given numbers 895/942, 418/456 is
GCF of Numerators i.e. for 895,418 is 1
LCM of denominators i.e. for 942,456 is 71592.
Thus, GCF of Fractions is 1/71592.Finally, GCF of Fractions for 895/942, 418/456 is 1/71592.