Highest Common Factor of 5322, 4616 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 5322, 4616 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 5322, 4616 is 2 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 5322, 4616 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 5322, 4616 is 2.
HCF(5322, 4616) = 2
HCF of 5322, 4616 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5322, 4616 is 2.
Highest Common Factor of 5322,4616 is 2
Step 1: Since 5322 > 4616, we apply the division lemma to 5322 and 4616, to get
5322 = 4616 x 1 + 706
Step 2: Since the reminder 4616 ≠ 0, we apply division lemma to 706 and 4616, to get
4616 = 706 x 6 + 380
Step 3: We consider the new divisor 706 and the new remainder 380, and apply the division lemma to get
706 = 380 x 1 + 326
We consider the new divisor 380 and the new remainder 326,and apply the division lemma to get
380 = 326 x 1 + 54
We consider the new divisor 326 and the new remainder 54,and apply the division lemma to get
326 = 54 x 6 + 2
We consider the new divisor 54 and the new remainder 2,and apply the division lemma to get
54 = 2 x 27 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 5322 and 4616 is 2
Notice that 2 = HCF(54,2) = HCF(326,54) = HCF(380,326) = HCF(706,380) = HCF(4616,706) = HCF(5322,4616) .
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Frequently Asked Questions on HCF of 5322, 4616 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 5322, 4616?
Answer: HCF of 5322, 4616 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5322, 4616 using Euclid's Algorithm?
Answer: For arbitrary numbers 5322, 4616 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.