Highest Common Factor of 632, 459, 699 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 632, 459, 699 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 632, 459, 699 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 632, 459, 699 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 632, 459, 699 is 1.
HCF(632, 459, 699) = 1
HCF of 632, 459, 699 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 632, 459, 699 is 1.
Highest Common Factor of 632,459,699 is 1
Step 1: Since 632 > 459, we apply the division lemma to 632 and 459, to get
632 = 459 x 1 + 173
Step 2: Since the reminder 459 ≠ 0, we apply division lemma to 173 and 459, to get
459 = 173 x 2 + 113
Step 3: We consider the new divisor 173 and the new remainder 113, and apply the division lemma to get
173 = 113 x 1 + 60
We consider the new divisor 113 and the new remainder 60,and apply the division lemma to get
113 = 60 x 1 + 53
We consider the new divisor 60 and the new remainder 53,and apply the division lemma to get
60 = 53 x 1 + 7
We consider the new divisor 53 and the new remainder 7,and apply the division lemma to get
53 = 7 x 7 + 4
We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get
7 = 4 x 1 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 632 and 459 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(53,7) = HCF(60,53) = HCF(113,60) = HCF(173,113) = HCF(459,173) = HCF(632,459) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 699 > 1, we apply the division lemma to 699 and 1, to get
699 = 1 x 699 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 699 is 1
Notice that 1 = HCF(699,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 632, 459, 699 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 632, 459, 699?
Answer: HCF of 632, 459, 699 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 632, 459, 699 using Euclid's Algorithm?
Answer: For arbitrary numbers 632, 459, 699 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
