Use our free GCF of Fractions Calculator tool to compute the GCF of 176/781, 549/674 i.e 1/526394 easily. The following is the detailed procedure to determine the greatest common factor of fractions 176/781, 549/674.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 176/781,549/674
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 176/781,549/674, numerators are 176,549
Denominators are 781,674
The GCF of 176,549 is 1 .
LCM of 781,674 is 526394.
The greatest common factor of 176/781,549/674 = [GCF of 176,549]/[LCM of 781,674]= 1/526394
Therefore, the GCF of 176/781,549/674 is 1/526394.
To find the highest common factor of 176,549, we have to find the factors of both numbers and list the highest common factor.
The factors of 176 are 1, 2, 4, 8, 11, 16, 22, 44, 88, 176
The factors of 549 are 1, 3, 9, 61, 183, 549
The HCF of 176,549 is 1.
Lets's calculate GCF of 176,549
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 176
:1,2,4,8,11,16,22,44,88,176
Now, list down the factors of 549
:1,3,9,61,183,549
Greatest Common Factor
We found the factors 176,549 . The biggest common factor number is the GCF number.
So the greatest common factor 176,549 is 1.
Lets's calculate LCM of 781,674
Given numbers has no common factors except 1. So, there LCM is their product i.e 526394
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/526394
Therefore, the GCF of Fractions 176/781,549/674 is 1/526394
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 781,674 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(781,674) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(781,674) x common factors =1 x 1 = 1
LCM(781,674) = ( 781 × 674 ) / 1
LCM(781,674) = 526394 / 1
LCM(781,674) = 526394
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 176,549?
The HCF of 176,549 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 176/781, 549/674?
Answer: GCF of Numerators as per given numbers 176/781, 549/674 is
GCF of Numerators i.e. for 176,549 is 1
LCM of denominators i.e. for 781,674 is 526394.
Thus, GCF of Fractions is 1/526394.Finally, GCF of Fractions for 176/781, 549/674 is 1/526394.