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 715, 530, 466 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 715, 530, 466 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 715, 530, 466 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 715, 530, 466 is 1.
HCF(715, 530, 466) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 715, 530, 466 is 1.
Step 1: Since 715 > 530, we apply the division lemma to 715 and 530, to get
715 = 530 x 1 + 185
Step 2: Since the reminder 530 ≠ 0, we apply division lemma to 185 and 530, to get
530 = 185 x 2 + 160
Step 3: We consider the new divisor 185 and the new remainder 160, and apply the division lemma to get
185 = 160 x 1 + 25
We consider the new divisor 160 and the new remainder 25,and apply the division lemma to get
160 = 25 x 6 + 10
We consider the new divisor 25 and the new remainder 10,and apply the division lemma to get
25 = 10 x 2 + 5
We consider the new divisor 10 and the new remainder 5,and apply the division lemma to get
10 = 5 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 715 and 530 is 5
Notice that 5 = HCF(10,5) = HCF(25,10) = HCF(160,25) = HCF(185,160) = HCF(530,185) = HCF(715,530) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 466 > 5, we apply the division lemma to 466 and 5, to get
466 = 5 x 93 + 1
Step 2: Since the reminder 5 ≠ 0, we apply division lemma to 1 and 5, to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5 and 466 is 1
Notice that 1 = HCF(5,1) = HCF(466,5) .
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 715, 530, 466?
Answer: HCF of 715, 530, 466 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 715, 530, 466 using Euclid's Algorithm?
Answer: For arbitrary numbers 715, 530, 466 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.