Highest Common Factor of 89, 506, 519, 521 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 89, 506, 519, 521 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 89, 506, 519, 521 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 89, 506, 519, 521 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 89, 506, 519, 521 is 1.
HCF(89, 506, 519, 521) = 1
HCF of 89, 506, 519, 521 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 89, 506, 519, 521 is 1.
Highest Common Factor of 89,506,519,521 is 1
Step 1: Since 506 > 89, we apply the division lemma to 506 and 89, to get
506 = 89 x 5 + 61
Step 2: Since the reminder 89 ≠ 0, we apply division lemma to 61 and 89, to get
89 = 61 x 1 + 28
Step 3: We consider the new divisor 61 and the new remainder 28, and apply the division lemma to get
61 = 28 x 2 + 5
We consider the new divisor 28 and the new remainder 5,and apply the division lemma to get
28 = 5 x 5 + 3
We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get
5 = 3 x 1 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 89 and 506 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(28,5) = HCF(61,28) = HCF(89,61) = HCF(506,89) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 519 > 1, we apply the division lemma to 519 and 1, to get
519 = 1 x 519 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 519 is 1
Notice that 1 = HCF(519,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 521 > 1, we apply the division lemma to 521 and 1, to get
521 = 1 x 521 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 521 is 1
Notice that 1 = HCF(521,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 89, 506, 519, 521 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 89, 506, 519, 521?
Answer: HCF of 89, 506, 519, 521 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 89, 506, 519, 521 using Euclid's Algorithm?
Answer: For arbitrary numbers 89, 506, 519, 521 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.