Highest Common Factor of 587, 24378 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 587, 24378 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 587, 24378 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 587, 24378 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 587, 24378 is 1.
HCF(587, 24378) = 1
HCF of 587, 24378 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 587, 24378 is 1.
Highest Common Factor of 587,24378 is 1
Step 1: Since 24378 > 587, we apply the division lemma to 24378 and 587, to get
24378 = 587 x 41 + 311
Step 2: Since the reminder 587 ≠ 0, we apply division lemma to 311 and 587, to get
587 = 311 x 1 + 276
Step 3: We consider the new divisor 311 and the new remainder 276, and apply the division lemma to get
311 = 276 x 1 + 35
We consider the new divisor 276 and the new remainder 35,and apply the division lemma to get
276 = 35 x 7 + 31
We consider the new divisor 35 and the new remainder 31,and apply the division lemma to get
35 = 31 x 1 + 4
We consider the new divisor 31 and the new remainder 4,and apply the division lemma to get
31 = 4 x 7 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 587 and 24378 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(31,4) = HCF(35,31) = HCF(276,35) = HCF(311,276) = HCF(587,311) = HCF(24378,587) .
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Frequently Asked Questions on HCF of 587, 24378 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 587, 24378?
Answer: HCF of 587, 24378 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 587, 24378 using Euclid's Algorithm?
Answer: For arbitrary numbers 587, 24378 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.