Use our free GCF of Fractions Calculator tool to compute the GCF of 1262/336, 2423/7570 i.e 1/1271760 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1262/336, 2423/7570.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1262/336,2423/7570
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 1262/336,2423/7570, numerators are 1262,2423
Denominators are 336,7570
The GCF of 1262,2423 is 1 .
LCM of 336,7570 is 1271760.
The greatest common factor of 1262/336,2423/7570 = [GCF of 1262,2423]/[LCM of 336,7570]= 1/1271760
Therefore, the GCF of 1262/336,2423/7570 is 1/1271760.
To find the highest common factor of 1262,2423, we have to find the factors of both numbers and list the highest common factor.
The factors of 1262 are 1, 2, 631, 1262
The factors of 2423 are 1, 2423
The HCF of 1262,2423 is 1.
Lets's calculate GCF of 1262,2423
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 1262
:1,2,631,1262
Now, list down the factors of 2423
:1,2423
Greatest Common Factor
We found the factors 1262,2423 . The biggest common factor number is the GCF number.
So the greatest common factor 1262,2423 is 1.
Lets's calculate LCM of 336,7570
2 | 336, 7570 |
168, 3785 |
∴ So the LCM of the given numbers is 2 x 168 x 3785 = 1271760
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1271760
Therefore, the GCF of Fractions 1262/336,2423/7570 is 1/1271760
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 336,7570 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(336,7570) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(336,7570) x common factors =2 x 1 = 2
LCM(336,7570) = ( 336 × 7570 ) / 2
LCM(336,7570) = 2543520 / 2
LCM(336,7570) = 1271760
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 1262,2423?
The HCF of 1262,2423 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 1262/336, 2423/7570?
Answer: GCF of Numerators as per given numbers 1262/336, 2423/7570 is
GCF of Numerators i.e. for 1262,2423 is 1
LCM of denominators i.e. for 336,7570 is 1271760.
Thus, GCF of Fractions is 1/1271760.Finally, GCF of Fractions for 1262/336, 2423/7570 is 1/1271760.