GCF of 156/166, 780/992
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 156/166, 780/992 i.e 156/82336 easily. The following is the detailed procedure to determine the greatest common factor of fractions 156/166, 780/992.
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 156/166,780/992?
Given fractions are 156/166,780/992
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 156/166,780/992, numerators are 156,780
Denominators are 166,992
The GCF of 156,780 is 156 .
LCM of 166,992 is 82336.
The greatest common factor of 156/166,780/992 = [GCF of 156,780]/[LCM of 166,992]= 156/82336
Therefore, the GCF of 156/166,780/992 is 156/82336.
To find the highest common factor of 156,780, we have to find the factors of both numbers and list the highest common factor.
The factors of 156 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
The factors of 780 are 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
The HCF of 156,780 is 156.
Lets's calculate GCF of 156,780
| 2 | 156, 780 |
| 2 | 78, 390 |
| 3 | 39, 195 |
| 13 | 13, 65 |
| 1, 5 |
∴ So the GCF of the given numbers is 2 x 2 x 3 x 13 = 156
Greatest Common Factor of 156,780 By Matching Biggest Common Factor Method
Now, list down the factors of 156
:1,2,3,4,6,12,13,26,39,52,78,156
Now, list down the factors of 780
:1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780
Greatest Common Factor
We found the factors 156,780 . The biggest common factor number is the GCF number.
So the greatest common factor 156,780 is 156.
Lets's calculate LCM of 166,992
| 2 | 166, 992 |
| 83, 496 |
∴ So the LCM of the given numbers is 2 x 83 x 496 = 82336
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 156/82336
Therefore, the GCF of Fractions 156/166,780/992 is 156/82336
Least Common Multiple of 166,992 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 166,992 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(166,992) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(166,992) x common factors =2 x 1 = 2
LCM(166,992) = ( 166 × 992 ) / 2
LCM(166,992) = 164672 / 2
LCM(166,992) = 82336
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 156/166, 780/992
1. What is the HCF of 156,780?
The HCF of 156,780 is 156
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 156/166, 780/992?
Answer: GCF of Numerators as per given numbers 156/166, 780/992 is
GCF of Numerators i.e. for 156,780 is 156
LCM of denominators i.e. for 166,992 is 82336.
Thus, GCF of Fractions is 156/82336.Finally, GCF of Fractions for 156/166, 780/992 is 156/82336.