Use our free GCF of Fractions Calculator tool to compute the GCF of 769/822, 778/492 i.e 1/67404 easily. The following is the detailed procedure to determine the greatest common factor of fractions 769/822, 778/492.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 769/822,778/492
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 769/822,778/492, numerators are 769,778
Denominators are 822,492
The GCF of 769,778 is 1 .
LCM of 822,492 is 67404.
The greatest common factor of 769/822,778/492 = [GCF of 769,778]/[LCM of 822,492]= 1/67404
Therefore, the GCF of 769/822,778/492 is 1/67404.
To find the highest common factor of 769,778, we have to find the factors of both numbers and list the highest common factor.
The factors of 769 are 1, 769
The factors of 778 are 1, 2, 389, 778
The HCF of 769,778 is 1.
Lets's calculate GCF of 769,778
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 769
:1,769
Now, list down the factors of 778
:1,2,389,778
Greatest Common Factor
We found the factors 769,778 . The biggest common factor number is the GCF number.
So the greatest common factor 769,778 is 1.
Lets's calculate LCM of 822,492
2 | 822, 492 |
3 | 411, 246 |
137, 82 |
∴ So the LCM of the given numbers is 2 x 3 x 137 x 82 = 67404
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/67404
Therefore, the GCF of Fractions 769/822,778/492 is 1/67404
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 822,492 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(822,492) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(822,492) x common factors =6 x 1 = 6
LCM(822,492) = ( 822 × 492 ) / 6
LCM(822,492) = 404424 / 6
LCM(822,492) = 67404
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 769,778?
The HCF of 769,778 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 769/822, 778/492?
Answer: GCF of Numerators as per given numbers 769/822, 778/492 is
GCF of Numerators i.e. for 769,778 is 1
LCM of denominators i.e. for 822,492 is 67404.
Thus, GCF of Fractions is 1/67404.Finally, GCF of Fractions for 769/822, 778/492 is 1/67404.