GCF of 796/122, 382/436
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 796/122, 382/436 i.e 2/26596 easily. The following is the detailed procedure to determine the greatest common factor of fractions 796/122, 382/436.
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 796/122,382/436?
Given fractions are 796/122,382/436
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 796/122,382/436, numerators are 796,382
Denominators are 122,436
The GCF of 796,382 is 2 .
LCM of 122,436 is 26596.
The greatest common factor of 796/122,382/436 = [GCF of 796,382]/[LCM of 122,436]= 2/26596
Therefore, the GCF of 796/122,382/436 is 2/26596.
To find the highest common factor of 796,382, we have to find the factors of both numbers and list the highest common factor.
The factors of 796 are 1, 2, 4, 199, 398, 796
The factors of 382 are 1, 2, 191, 382
The HCF of 796,382 is 2.
Lets's calculate GCF of 796,382
| 2 | 796, 382 |
| 398, 191 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 796,382 By Matching Biggest Common Factor Method
Now, list down the factors of 796
:1,2,4,199,398,796
Now, list down the factors of 382
:1,2,191,382
Greatest Common Factor
We found the factors 796,382 . The biggest common factor number is the GCF number.
So the greatest common factor 796,382 is 2.
Lets's calculate LCM of 122,436
| 2 | 122, 436 |
| 61, 218 |
∴ So the LCM of the given numbers is 2 x 61 x 218 = 26596
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/26596
Therefore, the GCF of Fractions 796/122,382/436 is 2/26596
Least Common Multiple of 122,436 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 122,436 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(122,436) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(122,436) x common factors =2 x 1 = 2
LCM(122,436) = ( 122 × 436 ) / 2
LCM(122,436) = 53192 / 2
LCM(122,436) = 26596
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FAQs on GCF of Fractions of 796/122, 382/436
1. What is the HCF of 796,382?
The HCF of 796,382 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 796/122, 382/436?
Answer: GCF of Numerators as per given numbers 796/122, 382/436 is
GCF of Numerators i.e. for 796,382 is 2
LCM of denominators i.e. for 122,436 is 26596.
Thus, GCF of Fractions is 2/26596.Finally, GCF of Fractions for 796/122, 382/436 is 2/26596.