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 551, 892, 565 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 551, 892, 565 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 551, 892, 565 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 551, 892, 565 is 1.
HCF(551, 892, 565) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 551, 892, 565 is 1.
Step 1: Since 892 > 551, we apply the division lemma to 892 and 551, to get
892 = 551 x 1 + 341
Step 2: Since the reminder 551 ≠ 0, we apply division lemma to 341 and 551, to get
551 = 341 x 1 + 210
Step 3: We consider the new divisor 341 and the new remainder 210, and apply the division lemma to get
341 = 210 x 1 + 131
We consider the new divisor 210 and the new remainder 131,and apply the division lemma to get
210 = 131 x 1 + 79
We consider the new divisor 131 and the new remainder 79,and apply the division lemma to get
131 = 79 x 1 + 52
We consider the new divisor 79 and the new remainder 52,and apply the division lemma to get
79 = 52 x 1 + 27
We consider the new divisor 52 and the new remainder 27,and apply the division lemma to get
52 = 27 x 1 + 25
We consider the new divisor 27 and the new remainder 25,and apply the division lemma to get
27 = 25 x 1 + 2
We consider the new divisor 25 and the new remainder 2,and apply the division lemma to get
25 = 2 x 12 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 551 and 892 is 1
Notice that 1 = HCF(2,1) = HCF(25,2) = HCF(27,25) = HCF(52,27) = HCF(79,52) = HCF(131,79) = HCF(210,131) = HCF(341,210) = HCF(551,341) = HCF(892,551) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 565 > 1, we apply the division lemma to 565 and 1, to get
565 = 1 x 565 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 565 is 1
Notice that 1 = HCF(565,1) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 551, 892, 565?
Answer: HCF of 551, 892, 565 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 551, 892, 565 using Euclid's Algorithm?
Answer: For arbitrary numbers 551, 892, 565 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.