Highest Common Factor of 5796, 4842 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 5796, 4842 i.e. 18 the largest integer that leaves a remainder zero for all numbers.
HCF of 5796, 4842 is 18 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 5796, 4842 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 5796, 4842 is 18.
HCF(5796, 4842) = 18
HCF of 5796, 4842 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5796, 4842 is 18.
Highest Common Factor of 5796,4842 is 18
Step 1: Since 5796 > 4842, we apply the division lemma to 5796 and 4842, to get
5796 = 4842 x 1 + 954
Step 2: Since the reminder 4842 ≠ 0, we apply division lemma to 954 and 4842, to get
4842 = 954 x 5 + 72
Step 3: We consider the new divisor 954 and the new remainder 72, and apply the division lemma to get
954 = 72 x 13 + 18
We consider the new divisor 72 and the new remainder 18, and apply the division lemma to get
72 = 18 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 18, the HCF of 5796 and 4842 is 18
Notice that 18 = HCF(72,18) = HCF(954,72) = HCF(4842,954) = HCF(5796,4842) .
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Frequently Asked Questions on HCF of 5796, 4842 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 5796, 4842?
Answer: HCF of 5796, 4842 is 18 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5796, 4842 using Euclid's Algorithm?
Answer: For arbitrary numbers 5796, 4842 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.