Highest Common Factor of 511, 877, 559 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 511, 877, 559 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 511, 877, 559 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 511, 877, 559 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 511, 877, 559 is 1.
HCF(511, 877, 559) = 1
HCF of 511, 877, 559 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 511, 877, 559 is 1.
Highest Common Factor of 511,877,559 is 1
Step 1: Since 877 > 511, we apply the division lemma to 877 and 511, to get
877 = 511 x 1 + 366
Step 2: Since the reminder 511 ≠ 0, we apply division lemma to 366 and 511, to get
511 = 366 x 1 + 145
Step 3: We consider the new divisor 366 and the new remainder 145, and apply the division lemma to get
366 = 145 x 2 + 76
We consider the new divisor 145 and the new remainder 76,and apply the division lemma to get
145 = 76 x 1 + 69
We consider the new divisor 76 and the new remainder 69,and apply the division lemma to get
76 = 69 x 1 + 7
We consider the new divisor 69 and the new remainder 7,and apply the division lemma to get
69 = 7 x 9 + 6
We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get
7 = 6 x 1 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 511 and 877 is 1
Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(69,7) = HCF(76,69) = HCF(145,76) = HCF(366,145) = HCF(511,366) = HCF(877,511) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 559 > 1, we apply the division lemma to 559 and 1, to get
559 = 1 x 559 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 559 is 1
Notice that 1 = HCF(559,1) .
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Frequently Asked Questions on HCF of 511, 877, 559 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 511, 877, 559?
Answer: HCF of 511, 877, 559 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 511, 877, 559 using Euclid's Algorithm?
Answer: For arbitrary numbers 511, 877, 559 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.