Use our free GCF of Fractions Calculator tool to compute the GCF of 70/669, 64/674, 710/570 i.e 2/42836070 easily. The following is the detailed procedure to determine the greatest common factor of fractions 70/669, 64/674, 710/570.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 70/669,64/674,710/570
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 70/669,64/674,710/570, numerators are 70,64,710
Denominators are 669,674,570
The GCF of 70,64,710 is 2 .
LCM of 669,674,570 is 42836070.
The greatest common factor of 70/669,64/674,710/570 = [GCF of 70,64,710]/[LCM of 669,674,570]= 2/42836070
Therefore, the GCF of 70/669,64/674,710/570 is 2/42836070.
To find the highest common factor of 70,64,710, we have to find the factors of both numbers and list the highest common factor.
The factors of 70 are 1, 2, 5, 7, 10, 14, 35, 70
The factors of 64 are 1, 2, 4, 8, 16, 32, 64
The factors of 710 are 1, 2, 5, 10, 71, 142, 355, 710
The HCF of 70,64,710 is 2.
Lets's calculate GCF of 70,64,710
2 | 70, 64, 710 |
35, 32, 355 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 70
:1,2,5,7,10,14,35,70
Now, list down the factors of 64
:1,2,4,8,16,32,64
Now, list down the factors of 710
:1,2,5,10,71,142,355,710
Greatest Common Factor
We found the factors 70,64,710 . The biggest common factor number is the GCF number.
So the greatest common factor 70,64,710 is 2.
Lets's calculate LCM of 669,674,570
2 | 669, 674, 570 |
3 | 669, 337, 285 |
223, 337, 95 |
∴ So the LCM of the given numbers is 2 x 3 x 223 x 337 x 95 = 42836070
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/42836070
Therefore, the GCF of Fractions 70/669,64/674,710/570 is 2/42836070
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 669,674,570 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(669,674,570) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(669,674,570) x common factors =1 x 6 = 6
LCM(669,674,570) = ( 669 × 674 × 570 ) / 6
LCM(669,674,570) = 257016420 / 6
LCM(669,674,570) = 42836070
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 70,64,710?
The HCF of 70,64,710 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 70/669, 64/674, 710/570?
Answer: GCF of Numerators as per given numbers 70/669, 64/674, 710/570 is
GCF of Numerators i.e. for 70,64,710 is 2
LCM of denominators i.e. for 669,674,570 is 42836070.
Thus, GCF of Fractions is 2/42836070.Finally, GCF of Fractions for 70/669, 64/674, 710/570 is 2/42836070.