Use our free GCF of Fractions Calculator tool to compute the GCF of 877/78, 342/3788 i.e 1/147732 easily. The following is the detailed procedure to determine the greatest common factor of fractions 877/78, 342/3788.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 877/78,342/3788
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 877/78,342/3788, numerators are 877,342
Denominators are 78,3788
The GCF of 877,342 is 1 .
LCM of 78,3788 is 147732.
The greatest common factor of 877/78,342/3788 = [GCF of 877,342]/[LCM of 78,3788]= 1/147732
Therefore, the GCF of 877/78,342/3788 is 1/147732.
To find the highest common factor of 877,342, we have to find the factors of both numbers and list the highest common factor.
The factors of 877 are 1, 877
The factors of 342 are 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
The HCF of 877,342 is 1.
Lets's calculate GCF of 877,342
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 877
:1,877
Now, list down the factors of 342
:1,2,3,6,9,18,19,38,57,114,171,342
Greatest Common Factor
We found the factors 877,342 . The biggest common factor number is the GCF number.
So the greatest common factor 877,342 is 1.
Lets's calculate LCM of 78,3788
2 | 78, 3788 |
39, 1894 |
∴ So the LCM of the given numbers is 2 x 39 x 1894 = 147732
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/147732
Therefore, the GCF of Fractions 877/78,342/3788 is 1/147732
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 78,3788 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(78,3788) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(78,3788) x common factors =2 x 1 = 2
LCM(78,3788) = ( 78 × 3788 ) / 2
LCM(78,3788) = 295464 / 2
LCM(78,3788) = 147732
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 877,342?
The HCF of 877,342 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 877/78, 342/3788?
Answer: GCF of Numerators as per given numbers 877/78, 342/3788 is
GCF of Numerators i.e. for 877,342 is 1
LCM of denominators i.e. for 78,3788 is 147732.
Thus, GCF of Fractions is 1/147732.Finally, GCF of Fractions for 877/78, 342/3788 is 1/147732.