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 465, 667, 793 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 465, 667, 793 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 465, 667, 793 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 465, 667, 793 is 1.
HCF(465, 667, 793) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 465, 667, 793 is 1.
Step 1: Since 667 > 465, we apply the division lemma to 667 and 465, to get
667 = 465 x 1 + 202
Step 2: Since the reminder 465 ≠ 0, we apply division lemma to 202 and 465, to get
465 = 202 x 2 + 61
Step 3: We consider the new divisor 202 and the new remainder 61, and apply the division lemma to get
202 = 61 x 3 + 19
We consider the new divisor 61 and the new remainder 19,and apply the division lemma to get
61 = 19 x 3 + 4
We consider the new divisor 19 and the new remainder 4,and apply the division lemma to get
19 = 4 x 4 + 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 465 and 667 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(19,4) = HCF(61,19) = HCF(202,61) = HCF(465,202) = HCF(667,465) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 793 > 1, we apply the division lemma to 793 and 1, to get
793 = 1 x 793 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 793 is 1
Notice that 1 = HCF(793,1) .
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 465, 667, 793?
Answer: HCF of 465, 667, 793 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 465, 667, 793 using Euclid's Algorithm?
Answer: For arbitrary numbers 465, 667, 793 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.