GCF of 1236/792, 3475/728
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1236/792, 3475/728 i.e 1/72072 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1236/792, 3475/728.
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 1236/792,3475/728?
Given fractions are 1236/792,3475/728
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 1236/792,3475/728, numerators are 1236,3475
Denominators are 792,728
The GCF of 1236,3475 is 1 .
LCM of 792,728 is 72072.
The greatest common factor of 1236/792,3475/728 = [GCF of 1236,3475]/[LCM of 792,728]= 1/72072
Therefore, the GCF of 1236/792,3475/728 is 1/72072.
To find the highest common factor of 1236,3475, we have to find the factors of both numbers and list the highest common factor.
The factors of 1236 are 1, 2, 3, 4, 6, 12, 103, 206, 309, 412, 618, 1236
The factors of 3475 are 1, 5, 25, 139, 695, 3475
The HCF of 1236,3475 is 1.
Lets's calculate GCF of 1236,3475
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1236,3475 By Matching Biggest Common Factor Method
Now, list down the factors of 1236
:1,2,3,4,6,12,103,206,309,412,618,1236
Now, list down the factors of 3475
:1,5,25,139,695,3475
Greatest Common Factor
We found the factors 1236,3475 . The biggest common factor number is the GCF number.
So the greatest common factor 1236,3475 is 1.
Lets's calculate LCM of 792,728
| 2 | 792, 728 |
| 2 | 396, 364 |
| 2 | 198, 182 |
| 99, 91 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 99 x 91 = 72072
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/72072
Therefore, the GCF of Fractions 1236/792,3475/728 is 1/72072
Least Common Multiple of 792,728 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 792,728 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(792,728) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(792,728) x common factors =8 x 1 = 8
LCM(792,728) = ( 792 × 728 ) / 8
LCM(792,728) = 576576 / 8
LCM(792,728) = 72072
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FAQs on GCF of Fractions of 1236/792, 3475/728
1. What is the HCF of 1236,3475?
The HCF of 1236,3475 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 1236/792, 3475/728?
Answer: GCF of Numerators as per given numbers 1236/792, 3475/728 is
GCF of Numerators i.e. for 1236,3475 is 1
LCM of denominators i.e. for 792,728 is 72072.
Thus, GCF of Fractions is 1/72072.Finally, GCF of Fractions for 1236/792, 3475/728 is 1/72072.