Highest Common Factor of 5901, 8431 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 5901, 8431 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5901, 8431 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 5901, 8431 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 5901, 8431 is 1.
HCF(5901, 8431) = 1
HCF of 5901, 8431 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5901, 8431 is 1.
Highest Common Factor of 5901,8431 is 1
Step 1: Since 8431 > 5901, we apply the division lemma to 8431 and 5901, to get
8431 = 5901 x 1 + 2530
Step 2: Since the reminder 5901 ≠ 0, we apply division lemma to 2530 and 5901, to get
5901 = 2530 x 2 + 841
Step 3: We consider the new divisor 2530 and the new remainder 841, and apply the division lemma to get
2530 = 841 x 3 + 7
We consider the new divisor 841 and the new remainder 7,and apply the division lemma to get
841 = 7 x 120 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5901 and 8431 is 1
Notice that 1 = HCF(7,1) = HCF(841,7) = HCF(2530,841) = HCF(5901,2530) = HCF(8431,5901) .
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Frequently Asked Questions on HCF of 5901, 8431 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 5901, 8431?
Answer: HCF of 5901, 8431 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5901, 8431 using Euclid's Algorithm?
Answer: For arbitrary numbers 5901, 8431 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.