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 205, 717, 467, 46 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 205, 717, 467, 46 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 205, 717, 467, 46 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 205, 717, 467, 46 is 1.
HCF(205, 717, 467, 46) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 205, 717, 467, 46 is 1.
Step 1: Since 717 > 205, we apply the division lemma to 717 and 205, to get
717 = 205 x 3 + 102
Step 2: Since the reminder 205 ≠ 0, we apply division lemma to 102 and 205, to get
205 = 102 x 2 + 1
Step 3: We consider the new divisor 102 and the new remainder 1, and apply the division lemma to get
102 = 1 x 102 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 205 and 717 is 1
Notice that 1 = HCF(102,1) = HCF(205,102) = HCF(717,205) .
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 46 > 1, we apply the division lemma to 46 and 1, to get
46 = 1 x 46 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 46 is 1
Notice that 1 = HCF(46,1) .
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 205, 717, 467, 46?
Answer: HCF of 205, 717, 467, 46 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 205, 717, 467, 46 using Euclid's Algorithm?
Answer: For arbitrary numbers 205, 717, 467, 46 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.