Use our free GCF of Fractions Calculator tool to compute the GCF of 912/822, 772/897 i.e 4/245778 easily. The following is the detailed procedure to determine the greatest common factor of fractions 912/822, 772/897.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 912/822,772/897
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 912/822,772/897, numerators are 912,772
Denominators are 822,897
The GCF of 912,772 is 4 .
LCM of 822,897 is 245778.
The greatest common factor of 912/822,772/897 = [GCF of 912,772]/[LCM of 822,897]= 4/245778
Therefore, the GCF of 912/822,772/897 is 4/245778.
To find the highest common factor of 912,772, we have to find the factors of both numbers and list the highest common factor.
The factors of 912 are 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
The factors of 772 are 1, 2, 4, 193, 386, 772
The HCF of 912,772 is 4.
Lets's calculate GCF of 912,772
2 | 912, 772 |
2 | 456, 386 |
228, 193 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Now, list down the factors of 912
:1,2,3,4,6,8,12,16,19,24,38,48,57,76,114,152,228,304,456,912
Now, list down the factors of 772
:1,2,4,193,386,772
Greatest Common Factor
We found the factors 912,772 . The biggest common factor number is the GCF number.
So the greatest common factor 912,772 is 4.
Lets's calculate LCM of 822,897
3 | 822, 897 |
274, 299 |
∴ So the LCM of the given numbers is 3 x 274 x 299 = 245778
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/245778
Therefore, the GCF of Fractions 912/822,772/897 is 4/245778
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 822,897 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(822,897) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(822,897) x common factors =3 x 1 = 3
LCM(822,897) = ( 822 × 897 ) / 3
LCM(822,897) = 737334 / 3
LCM(822,897) = 245778
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 912,772?
The HCF of 912,772 is 4
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 912/822, 772/897?
Answer: GCF of Numerators as per given numbers 912/822, 772/897 is
GCF of Numerators i.e. for 912,772 is 4
LCM of denominators i.e. for 822,897 is 245778.
Thus, GCF of Fractions is 4/245778.Finally, GCF of Fractions for 912/822, 772/897 is 4/245778.