GCF of 496/392, 780/382
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 496/392, 780/382 i.e 4/74872 easily. The following is the detailed procedure to determine the greatest common factor of fractions 496/392, 780/382.
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 496/392,780/382?
Given fractions are 496/392,780/382
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 496/392,780/382, numerators are 496,780
Denominators are 392,382
The GCF of 496,780 is 4 .
LCM of 392,382 is 74872.
The greatest common factor of 496/392,780/382 = [GCF of 496,780]/[LCM of 392,382]= 4/74872
Therefore, the GCF of 496/392,780/382 is 4/74872.
To find the highest common factor of 496,780, we have to find the factors of both numbers and list the highest common factor.
The factors of 496 are 1, 2, 4, 8, 16, 31, 62, 124, 248, 496
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 496,780 is 4.
Lets's calculate GCF of 496,780
| 2 | 496, 780 |
| 2 | 248, 390 |
| 124, 195 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 496,780 By Matching Biggest Common Factor Method
Now, list down the factors of 496
:1,2,4,8,16,31,62,124,248,496
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 496,780 . The biggest common factor number is the GCF number.
So the greatest common factor 496,780 is 4.
Lets's calculate LCM of 392,382
| 2 | 392, 382 |
| 196, 191 |
∴ So the LCM of the given numbers is 2 x 196 x 191 = 74872
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/74872
Therefore, the GCF of Fractions 496/392,780/382 is 4/74872
Least Common Multiple of 392,382 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 392,382 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(392,382) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(392,382) x common factors =2 x 1 = 2
LCM(392,382) = ( 392 × 382 ) / 2
LCM(392,382) = 149744 / 2
LCM(392,382) = 74872
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 496/392, 780/382
1. What is the HCF of 496,780?
The HCF of 496,780 is 4
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 496/392, 780/382?
Answer: GCF of Numerators as per given numbers 496/392, 780/382 is
GCF of Numerators i.e. for 496,780 is 4
LCM of denominators i.e. for 392,382 is 74872.
Thus, GCF of Fractions is 4/74872.Finally, GCF of Fractions for 496/392, 780/382 is 4/74872.