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 936, 3029, 8096 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 936, 3029, 8096 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 936, 3029, 8096 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 936, 3029, 8096 is 1.
HCF(936, 3029, 8096) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 936, 3029, 8096 is 1.
Step 1: Since 3029 > 936, we apply the division lemma to 3029 and 936, to get
3029 = 936 x 3 + 221
Step 2: Since the reminder 936 ≠ 0, we apply division lemma to 221 and 936, to get
936 = 221 x 4 + 52
Step 3: We consider the new divisor 221 and the new remainder 52, and apply the division lemma to get
221 = 52 x 4 + 13
We consider the new divisor 52 and the new remainder 13, and apply the division lemma to get
52 = 13 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 13, the HCF of 936 and 3029 is 13
Notice that 13 = HCF(52,13) = HCF(221,52) = HCF(936,221) = HCF(3029,936) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 8096 > 13, we apply the division lemma to 8096 and 13, to get
8096 = 13 x 622 + 10
Step 2: Since the reminder 13 ≠ 0, we apply division lemma to 10 and 13, to get
13 = 10 x 1 + 3
Step 3: We consider the new divisor 10 and the new remainder 3, and apply the division lemma to get
10 = 3 x 3 + 1
We consider the new divisor 3 and the new remainder 1, and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 13 and 8096 is 1
Notice that 1 = HCF(3,1) = HCF(10,3) = HCF(13,10) = HCF(8096,13) .
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 936, 3029, 8096?
Answer: HCF of 936, 3029, 8096 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 936, 3029, 8096 using Euclid's Algorithm?
Answer: For arbitrary numbers 936, 3029, 8096 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.