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 693, 787, 467, 633 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 693, 787, 467, 633 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 693, 787, 467, 633 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 693, 787, 467, 633 is 1.
HCF(693, 787, 467, 633) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 693, 787, 467, 633 is 1.
Step 1: Since 787 > 693, we apply the division lemma to 787 and 693, to get
787 = 693 x 1 + 94
Step 2: Since the reminder 693 ≠ 0, we apply division lemma to 94 and 693, to get
693 = 94 x 7 + 35
Step 3: We consider the new divisor 94 and the new remainder 35, and apply the division lemma to get
94 = 35 x 2 + 24
We consider the new divisor 35 and the new remainder 24,and apply the division lemma to get
35 = 24 x 1 + 11
We consider the new divisor 24 and the new remainder 11,and apply the division lemma to get
24 = 11 x 2 + 2
We consider the new divisor 11 and the new remainder 2,and apply the division lemma to get
11 = 2 x 5 + 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 693 and 787 is 1
Notice that 1 = HCF(2,1) = HCF(11,2) = HCF(24,11) = HCF(35,24) = HCF(94,35) = HCF(693,94) = HCF(787,693) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 467 > 1, we apply the division lemma to 467 and 1, to get
467 = 1 x 467 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 467 is 1
Notice that 1 = HCF(467,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 633 > 1, we apply the division lemma to 633 and 1, to get
633 = 1 x 633 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 633 is 1
Notice that 1 = HCF(633,1) .
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 693, 787, 467, 633?
Answer: HCF of 693, 787, 467, 633 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 693, 787, 467, 633 using Euclid's Algorithm?
Answer: For arbitrary numbers 693, 787, 467, 633 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.