Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 819, 7936, 3936 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 819, 7936, 3936 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 819, 7936, 3936 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 819, 7936, 3936 is 1.
HCF(819, 7936, 3936) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 819, 7936, 3936 is 1.
Step 1: Since 7936 > 819, we apply the division lemma to 7936 and 819, to get
7936 = 819 x 9 + 565
Step 2: Since the reminder 819 ≠ 0, we apply division lemma to 565 and 819, to get
819 = 565 x 1 + 254
Step 3: We consider the new divisor 565 and the new remainder 254, and apply the division lemma to get
565 = 254 x 2 + 57
We consider the new divisor 254 and the new remainder 57,and apply the division lemma to get
254 = 57 x 4 + 26
We consider the new divisor 57 and the new remainder 26,and apply the division lemma to get
57 = 26 x 2 + 5
We consider the new divisor 26 and the new remainder 5,and apply the division lemma to get
26 = 5 x 5 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 819 and 7936 is 1
Notice that 1 = HCF(5,1) = HCF(26,5) = HCF(57,26) = HCF(254,57) = HCF(565,254) = HCF(819,565) = HCF(7936,819) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 3936 > 1, we apply the division lemma to 3936 and 1, to get
3936 = 1 x 3936 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 3936 is 1
Notice that 1 = HCF(3936,1) .
Here are some samples of HCF using Euclid's Algorithm calculations.
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 819, 7936, 3936?
Answer: HCF of 819, 7936, 3936 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 819, 7936, 3936 using Euclid's Algorithm?
Answer: For arbitrary numbers 819, 7936, 3936 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.