Highest Common Factor of 595, 808, 99 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 595, 808, 99 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 595, 808, 99 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 595, 808, 99 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 595, 808, 99 is 1.
HCF(595, 808, 99) = 1
HCF of 595, 808, 99 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 595, 808, 99 is 1.
Highest Common Factor of 595,808,99 is 1
Step 1: Since 808 > 595, we apply the division lemma to 808 and 595, to get
808 = 595 x 1 + 213
Step 2: Since the reminder 595 ≠ 0, we apply division lemma to 213 and 595, to get
595 = 213 x 2 + 169
Step 3: We consider the new divisor 213 and the new remainder 169, and apply the division lemma to get
213 = 169 x 1 + 44
We consider the new divisor 169 and the new remainder 44,and apply the division lemma to get
169 = 44 x 3 + 37
We consider the new divisor 44 and the new remainder 37,and apply the division lemma to get
44 = 37 x 1 + 7
We consider the new divisor 37 and the new remainder 7,and apply the division lemma to get
37 = 7 x 5 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 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 595 and 808 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(37,7) = HCF(44,37) = HCF(169,44) = HCF(213,169) = HCF(595,213) = HCF(808,595) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 99 > 1, we apply the division lemma to 99 and 1, to get
99 = 1 x 99 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 99 is 1
Notice that 1 = HCF(99,1) .
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Frequently Asked Questions on HCF of 595, 808, 99 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 595, 808, 99?
Answer: HCF of 595, 808, 99 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 595, 808, 99 using Euclid's Algorithm?
Answer: For arbitrary numbers 595, 808, 99 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.