Highest Common Factor of 2381, 5249 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 2381, 5249 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2381, 5249 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 2381, 5249 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 2381, 5249 is 1.
HCF(2381, 5249) = 1
HCF of 2381, 5249 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2381, 5249 is 1.
Highest Common Factor of 2381,5249 is 1
Step 1: Since 5249 > 2381, we apply the division lemma to 5249 and 2381, to get
5249 = 2381 x 2 + 487
Step 2: Since the reminder 2381 ≠ 0, we apply division lemma to 487 and 2381, to get
2381 = 487 x 4 + 433
Step 3: We consider the new divisor 487 and the new remainder 433, and apply the division lemma to get
487 = 433 x 1 + 54
We consider the new divisor 433 and the new remainder 54,and apply the division lemma to get
433 = 54 x 8 + 1
We consider the new divisor 54 and the new remainder 1,and apply the division lemma to get
54 = 1 x 54 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2381 and 5249 is 1
Notice that 1 = HCF(54,1) = HCF(433,54) = HCF(487,433) = HCF(2381,487) = HCF(5249,2381) .
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Frequently Asked Questions on HCF of 2381, 5249 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 2381, 5249?
Answer: HCF of 2381, 5249 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2381, 5249 using Euclid's Algorithm?
Answer: For arbitrary numbers 2381, 5249 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.