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 432, 697, 795 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 432, 697, 795 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 432, 697, 795 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 432, 697, 795 is 1.
HCF(432, 697, 795) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 432, 697, 795 is 1.
Step 1: Since 697 > 432, we apply the division lemma to 697 and 432, to get
697 = 432 x 1 + 265
Step 2: Since the reminder 432 ≠ 0, we apply division lemma to 265 and 432, to get
432 = 265 x 1 + 167
Step 3: We consider the new divisor 265 and the new remainder 167, and apply the division lemma to get
265 = 167 x 1 + 98
We consider the new divisor 167 and the new remainder 98,and apply the division lemma to get
167 = 98 x 1 + 69
We consider the new divisor 98 and the new remainder 69,and apply the division lemma to get
98 = 69 x 1 + 29
We consider the new divisor 69 and the new remainder 29,and apply the division lemma to get
69 = 29 x 2 + 11
We consider the new divisor 29 and the new remainder 11,and apply the division lemma to get
29 = 11 x 2 + 7
We consider the new divisor 11 and the new remainder 7,and apply the division lemma to get
11 = 7 x 1 + 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 432 and 697 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(11,7) = HCF(29,11) = HCF(69,29) = HCF(98,69) = HCF(167,98) = HCF(265,167) = HCF(432,265) = HCF(697,432) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 795 > 1, we apply the division lemma to 795 and 1, to get
795 = 1 x 795 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 795 is 1
Notice that 1 = HCF(795,1) .
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 432, 697, 795?
Answer: HCF of 432, 697, 795 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 432, 697, 795 using Euclid's Algorithm?
Answer: For arbitrary numbers 432, 697, 795 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.