Highest Common Factor of 4231, 5359 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 4231, 5359 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4231, 5359 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 4231, 5359 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 4231, 5359 is 1.
HCF(4231, 5359) = 1
HCF of 4231, 5359 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4231, 5359 is 1.
Highest Common Factor of 4231,5359 is 1
Step 1: Since 5359 > 4231, we apply the division lemma to 5359 and 4231, to get
5359 = 4231 x 1 + 1128
Step 2: Since the reminder 4231 ≠ 0, we apply division lemma to 1128 and 4231, to get
4231 = 1128 x 3 + 847
Step 3: We consider the new divisor 1128 and the new remainder 847, and apply the division lemma to get
1128 = 847 x 1 + 281
We consider the new divisor 847 and the new remainder 281,and apply the division lemma to get
847 = 281 x 3 + 4
We consider the new divisor 281 and the new remainder 4,and apply the division lemma to get
281 = 4 x 70 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4231 and 5359 is 1
Notice that 1 = HCF(4,1) = HCF(281,4) = HCF(847,281) = HCF(1128,847) = HCF(4231,1128) = HCF(5359,4231) .
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Frequently Asked Questions on HCF of 4231, 5359 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 4231, 5359?
Answer: HCF of 4231, 5359 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4231, 5359 using Euclid's Algorithm?
Answer: For arbitrary numbers 4231, 5359 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.