Highest Common Factor of 7941, 2436 using Euclid's algorithm
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 7941, 2436 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 7941, 2436 is 3 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 7941, 2436 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 7941, 2436 is 3.
HCF(7941, 2436) = 3
HCF of 7941, 2436 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7941, 2436 is 3.
Highest Common Factor of 7941,2436 is 3
Step 1: Since 7941 > 2436, we apply the division lemma to 7941 and 2436, to get
7941 = 2436 x 3 + 633
Step 2: Since the reminder 2436 ≠ 0, we apply division lemma to 633 and 2436, to get
2436 = 633 x 3 + 537
Step 3: We consider the new divisor 633 and the new remainder 537, and apply the division lemma to get
633 = 537 x 1 + 96
We consider the new divisor 537 and the new remainder 96,and apply the division lemma to get
537 = 96 x 5 + 57
We consider the new divisor 96 and the new remainder 57,and apply the division lemma to get
96 = 57 x 1 + 39
We consider the new divisor 57 and the new remainder 39,and apply the division lemma to get
57 = 39 x 1 + 18
We consider the new divisor 39 and the new remainder 18,and apply the division lemma to get
39 = 18 x 2 + 3
We consider the new divisor 18 and the new remainder 3,and apply the division lemma to get
18 = 3 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 7941 and 2436 is 3
Notice that 3 = HCF(18,3) = HCF(39,18) = HCF(57,39) = HCF(96,57) = HCF(537,96) = HCF(633,537) = HCF(2436,633) = HCF(7941,2436) .
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Frequently Asked Questions on HCF of 7941, 2436 using Euclid's Algorithm
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 7941, 2436?
Answer: HCF of 7941, 2436 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7941, 2436 using Euclid's Algorithm?
Answer: For arbitrary numbers 7941, 2436 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.