Highest Common Factor of 8654, 5440 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 8654, 5440 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 8654, 5440 is 2 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 8654, 5440 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 8654, 5440 is 2.
HCF(8654, 5440) = 2
HCF of 8654, 5440 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8654, 5440 is 2.
Highest Common Factor of 8654,5440 is 2
Step 1: Since 8654 > 5440, we apply the division lemma to 8654 and 5440, to get
8654 = 5440 x 1 + 3214
Step 2: Since the reminder 5440 ≠ 0, we apply division lemma to 3214 and 5440, to get
5440 = 3214 x 1 + 2226
Step 3: We consider the new divisor 3214 and the new remainder 2226, and apply the division lemma to get
3214 = 2226 x 1 + 988
We consider the new divisor 2226 and the new remainder 988,and apply the division lemma to get
2226 = 988 x 2 + 250
We consider the new divisor 988 and the new remainder 250,and apply the division lemma to get
988 = 250 x 3 + 238
We consider the new divisor 250 and the new remainder 238,and apply the division lemma to get
250 = 238 x 1 + 12
We consider the new divisor 238 and the new remainder 12,and apply the division lemma to get
238 = 12 x 19 + 10
We consider the new divisor 12 and the new remainder 10,and apply the division lemma to get
12 = 10 x 1 + 2
We consider the new divisor 10 and the new remainder 2,and apply the division lemma to get
10 = 2 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 8654 and 5440 is 2
Notice that 2 = HCF(10,2) = HCF(12,10) = HCF(238,12) = HCF(250,238) = HCF(988,250) = HCF(2226,988) = HCF(3214,2226) = HCF(5440,3214) = HCF(8654,5440) .
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Frequently Asked Questions on HCF of 8654, 5440 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 8654, 5440?
Answer: HCF of 8654, 5440 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8654, 5440 using Euclid's Algorithm?
Answer: For arbitrary numbers 8654, 5440 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.