Use our free GCF of Fractions Calculator tool to compute the GCF of 427/488, 274/310 i.e 1/75640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 427/488, 274/310.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 427/488,274/310
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 427/488,274/310, numerators are 427,274
Denominators are 488,310
The GCF of 427,274 is 1 .
LCM of 488,310 is 75640.
The greatest common factor of 427/488,274/310 = [GCF of 427,274]/[LCM of 488,310]= 1/75640
Therefore, the GCF of 427/488,274/310 is 1/75640.
To find the highest common factor of 427,274, we have to find the factors of both numbers and list the highest common factor.
The factors of 427 are 1, 7, 61, 427
The factors of 274 are 1, 2, 137, 274
The HCF of 427,274 is 1.
Lets's calculate GCF of 427,274
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 427
:1,7,61,427
Now, list down the factors of 274
:1,2,137,274
Greatest Common Factor
We found the factors 427,274 . The biggest common factor number is the GCF number.
So the greatest common factor 427,274 is 1.
Lets's calculate LCM of 488,310
2 | 488, 310 |
244, 155 |
∴ So the LCM of the given numbers is 2 x 244 x 155 = 75640
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/75640
Therefore, the GCF of Fractions 427/488,274/310 is 1/75640
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 488,310 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(488,310) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(488,310) x common factors =2 x 1 = 2
LCM(488,310) = ( 488 × 310 ) / 2
LCM(488,310) = 151280 / 2
LCM(488,310) = 75640
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 427,274?
The HCF of 427,274 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 427/488, 274/310?
Answer: GCF of Numerators as per given numbers 427/488, 274/310 is
GCF of Numerators i.e. for 427,274 is 1
LCM of denominators i.e. for 488,310 is 75640.
Thus, GCF of Fractions is 1/75640.Finally, GCF of Fractions for 427/488, 274/310 is 1/75640.