Use our free GCF of Fractions Calculator tool to compute the GCF of 277/668, 502/476 i.e 1/79492 easily. The following is the detailed procedure to determine the greatest common factor of fractions 277/668, 502/476.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 277/668,502/476
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 277/668,502/476, numerators are 277,502
Denominators are 668,476
The GCF of 277,502 is 1 .
LCM of 668,476 is 79492.
The greatest common factor of 277/668,502/476 = [GCF of 277,502]/[LCM of 668,476]= 1/79492
Therefore, the GCF of 277/668,502/476 is 1/79492.
To find the highest common factor of 277,502, we have to find the factors of both numbers and list the highest common factor.
The factors of 277 are 1, 277
The factors of 502 are 1, 2, 251, 502
The HCF of 277,502 is 1.
Lets's calculate GCF of 277,502
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 277
:1,277
Now, list down the factors of 502
:1,2,251,502
Greatest Common Factor
We found the factors 277,502 . The biggest common factor number is the GCF number.
So the greatest common factor 277,502 is 1.
Lets's calculate LCM of 668,476
2 | 668, 476 |
2 | 334, 238 |
167, 119 |
∴ So the LCM of the given numbers is 2 x 2 x 167 x 119 = 79492
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/79492
Therefore, the GCF of Fractions 277/668,502/476 is 1/79492
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 668,476 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(668,476) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(668,476) x common factors =4 x 1 = 4
LCM(668,476) = ( 668 × 476 ) / 4
LCM(668,476) = 317968 / 4
LCM(668,476) = 79492
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 277,502?
The HCF of 277,502 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 277/668, 502/476?
Answer: GCF of Numerators as per given numbers 277/668, 502/476 is
GCF of Numerators i.e. for 277,502 is 1
LCM of denominators i.e. for 668,476 is 79492.
Thus, GCF of Fractions is 1/79492.Finally, GCF of Fractions for 277/668, 502/476 is 1/79492.