Use our free GCF of Fractions Calculator tool to compute the GCF of 710/370, 302/276 i.e 2/51060 easily. The following is the detailed procedure to determine the greatest common factor of fractions 710/370, 302/276.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 710/370,302/276
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 710/370,302/276, numerators are 710,302
Denominators are 370,276
The GCF of 710,302 is 2 .
LCM of 370,276 is 51060.
The greatest common factor of 710/370,302/276 = [GCF of 710,302]/[LCM of 370,276]= 2/51060
Therefore, the GCF of 710/370,302/276 is 2/51060.
To find the highest common factor of 710,302, we have to find the factors of both numbers and list the highest common factor.
The factors of 710 are 1, 2, 5, 10, 71, 142, 355, 710
The factors of 302 are 1, 2, 151, 302
The HCF of 710,302 is 2.
Lets's calculate GCF of 710,302
2 | 710, 302 |
355, 151 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 710
:1,2,5,10,71,142,355,710
Now, list down the factors of 302
:1,2,151,302
Greatest Common Factor
We found the factors 710,302 . The biggest common factor number is the GCF number.
So the greatest common factor 710,302 is 2.
Lets's calculate LCM of 370,276
2 | 370, 276 |
185, 138 |
∴ So the LCM of the given numbers is 2 x 185 x 138 = 51060
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/51060
Therefore, the GCF of Fractions 710/370,302/276 is 2/51060
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 370,276 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(370,276) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(370,276) x common factors =2 x 1 = 2
LCM(370,276) = ( 370 × 276 ) / 2
LCM(370,276) = 102120 / 2
LCM(370,276) = 51060
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 710,302?
The HCF of 710,302 is 2
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 710/370, 302/276?
Answer: GCF of Numerators as per given numbers 710/370, 302/276 is
GCF of Numerators i.e. for 710,302 is 2
LCM of denominators i.e. for 370,276 is 51060.
Thus, GCF of Fractions is 2/51060.Finally, GCF of Fractions for 710/370, 302/276 is 2/51060.