Highest Common Factor of 5311, 8413 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 5311, 8413 i.e. 47 the largest integer that leaves a remainder zero for all numbers.
HCF of 5311, 8413 is 47 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 5311, 8413 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 5311, 8413 is 47.
HCF(5311, 8413) = 47
HCF of 5311, 8413 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5311, 8413 is 47.
Highest Common Factor of 5311,8413 is 47
Step 1: Since 8413 > 5311, we apply the division lemma to 8413 and 5311, to get
8413 = 5311 x 1 + 3102
Step 2: Since the reminder 5311 ≠ 0, we apply division lemma to 3102 and 5311, to get
5311 = 3102 x 1 + 2209
Step 3: We consider the new divisor 3102 and the new remainder 2209, and apply the division lemma to get
3102 = 2209 x 1 + 893
We consider the new divisor 2209 and the new remainder 893,and apply the division lemma to get
2209 = 893 x 2 + 423
We consider the new divisor 893 and the new remainder 423,and apply the division lemma to get
893 = 423 x 2 + 47
We consider the new divisor 423 and the new remainder 47,and apply the division lemma to get
423 = 47 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 47, the HCF of 5311 and 8413 is 47
Notice that 47 = HCF(423,47) = HCF(893,423) = HCF(2209,893) = HCF(3102,2209) = HCF(5311,3102) = HCF(8413,5311) .
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Frequently Asked Questions on HCF of 5311, 8413 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 5311, 8413?
Answer: HCF of 5311, 8413 is 47 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5311, 8413 using Euclid's Algorithm?
Answer: For arbitrary numbers 5311, 8413 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.