GCF of 606/756, 712/782
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 606/756, 712/782 i.e 2/295596 easily. The following is the detailed procedure to determine the greatest common factor of fractions 606/756, 712/782.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 606/756,712/782?
Given fractions are 606/756,712/782
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 606/756,712/782, numerators are 606,712
Denominators are 756,782
The GCF of 606,712 is 2 .
LCM of 756,782 is 295596.
The greatest common factor of 606/756,712/782 = [GCF of 606,712]/[LCM of 756,782]= 2/295596
Therefore, the GCF of 606/756,712/782 is 2/295596.
To find the highest common factor of 606,712, we have to find the factors of both numbers and list the highest common factor.
The factors of 606 are 1, 2, 3, 6, 101, 202, 303, 606
The factors of 712 are 1, 2, 4, 8, 89, 178, 356, 712
The HCF of 606,712 is 2.
Lets's calculate GCF of 606,712
| 2 | 606, 712 |
| 303, 356 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 606,712 By Matching Biggest Common Factor Method
Now, list down the factors of 606
:1,2,3,6,101,202,303,606
Now, list down the factors of 712
:1,2,4,8,89,178,356,712
Greatest Common Factor
We found the factors 606,712 . The biggest common factor number is the GCF number.
So the greatest common factor 606,712 is 2.
Lets's calculate LCM of 756,782
| 2 | 756, 782 |
| 378, 391 |
∴ So the LCM of the given numbers is 2 x 378 x 391 = 295596
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/295596
Therefore, the GCF of Fractions 606/756,712/782 is 2/295596
Least Common Multiple of 756,782 with GCF Formula
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 756,782 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(756,782) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(756,782) x common factors =2 x 1 = 2
LCM(756,782) = ( 756 × 782 ) / 2
LCM(756,782) = 591192 / 2
LCM(756,782) = 295596
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FAQs on GCF of Fractions of 606/756, 712/782
1. What is the HCF of 606,712?
The HCF of 606,712 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 606/756, 712/782?
Answer: GCF of Numerators as per given numbers 606/756, 712/782 is
GCF of Numerators i.e. for 606,712 is 2
LCM of denominators i.e. for 756,782 is 295596.
Thus, GCF of Fractions is 2/295596.Finally, GCF of Fractions for 606/756, 712/782 is 2/295596.