Use our free GCF of Fractions Calculator tool to compute the GCF of 121/508, 370/836 i.e 1/106172 easily. The following is the detailed procedure to determine the greatest common factor of fractions 121/508, 370/836.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 121/508,370/836
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 121/508,370/836, numerators are 121,370
Denominators are 508,836
The GCF of 121,370 is 1 .
LCM of 508,836 is 106172.
The greatest common factor of 121/508,370/836 = [GCF of 121,370]/[LCM of 508,836]= 1/106172
Therefore, the GCF of 121/508,370/836 is 1/106172.
To find the highest common factor of 121,370, we have to find the factors of both numbers and list the highest common factor.
The factors of 121 are 1, 11, 121
The factors of 370 are 1, 2, 5, 10, 37, 74, 185, 370
The HCF of 121,370 is 1.
Lets's calculate GCF of 121,370
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 121
:1,11,121
Now, list down the factors of 370
:1,2,5,10,37,74,185,370
Greatest Common Factor
We found the factors 121,370 . The biggest common factor number is the GCF number.
So the greatest common factor 121,370 is 1.
Lets's calculate LCM of 508,836
2 | 508, 836 |
2 | 254, 418 |
127, 209 |
∴ So the LCM of the given numbers is 2 x 2 x 127 x 209 = 106172
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/106172
Therefore, the GCF of Fractions 121/508,370/836 is 1/106172
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 508,836 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(508,836) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(508,836) x common factors =4 x 1 = 4
LCM(508,836) = ( 508 × 836 ) / 4
LCM(508,836) = 424688 / 4
LCM(508,836) = 106172
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 121,370?
The HCF of 121,370 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 121/508, 370/836?
Answer: GCF of Numerators as per given numbers 121/508, 370/836 is
GCF of Numerators i.e. for 121,370 is 1
LCM of denominators i.e. for 508,836 is 106172.
Thus, GCF of Fractions is 1/106172.Finally, GCF of Fractions for 121/508, 370/836 is 1/106172.