Highest Common Factor of 554, 865 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 554, 865 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 554, 865 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 554, 865 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 554, 865 is 1.
HCF(554, 865) = 1
HCF of 554, 865 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 554, 865 is 1.
Highest Common Factor of 554,865 is 1
Step 1: Since 865 > 554, we apply the division lemma to 865 and 554, to get
865 = 554 x 1 + 311
Step 2: Since the reminder 554 ≠ 0, we apply division lemma to 311 and 554, to get
554 = 311 x 1 + 243
Step 3: We consider the new divisor 311 and the new remainder 243, and apply the division lemma to get
311 = 243 x 1 + 68
We consider the new divisor 243 and the new remainder 68,and apply the division lemma to get
243 = 68 x 3 + 39
We consider the new divisor 68 and the new remainder 39,and apply the division lemma to get
68 = 39 x 1 + 29
We consider the new divisor 39 and the new remainder 29,and apply the division lemma to get
39 = 29 x 1 + 10
We consider the new divisor 29 and the new remainder 10,and apply the division lemma to get
29 = 10 x 2 + 9
We consider the new divisor 10 and the new remainder 9,and apply the division lemma to get
10 = 9 x 1 + 1
We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 554 and 865 is 1
Notice that 1 = HCF(9,1) = HCF(10,9) = HCF(29,10) = HCF(39,29) = HCF(68,39) = HCF(243,68) = HCF(311,243) = HCF(554,311) = HCF(865,554) .
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Frequently Asked Questions on HCF of 554, 865 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 554, 865?
Answer: HCF of 554, 865 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 554, 865 using Euclid's Algorithm?
Answer: For arbitrary numbers 554, 865 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.