Highest Common Factor of 867, 306, 56, 633 using Euclid's algorithm
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 867, 306, 56, 633 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 867, 306, 56, 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 867, 306, 56, 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 867, 306, 56, 633 is 1.
HCF(867, 306, 56, 633) = 1
HCF of 867, 306, 56, 633 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 867, 306, 56, 633 is 1.
Highest Common Factor of 867,306,56,633 is 1
Step 1: Since 867 > 306, we apply the division lemma to 867 and 306, to get
867 = 306 x 2 + 255
Step 2: Since the reminder 306 ≠ 0, we apply division lemma to 255 and 306, to get
306 = 255 x 1 + 51
Step 3: We consider the new divisor 255 and the new remainder 51, and apply the division lemma to get
255 = 51 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 51, the HCF of 867 and 306 is 51
Notice that 51 = HCF(255,51) = HCF(306,255) = HCF(867,306) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 56 > 51, we apply the division lemma to 56 and 51, to get
56 = 51 x 1 + 5
Step 2: Since the reminder 51 ≠ 0, we apply division lemma to 5 and 51, to get
51 = 5 x 10 + 1
Step 3: We consider the new divisor 5 and the new remainder 1, and apply the division lemma 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 51 and 56 is 1
Notice that 1 = HCF(5,1) = HCF(51,5) = HCF(56,51) .
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) .
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Frequently Asked Questions on HCF of 867, 306, 56, 633 using Euclid's Algorithm
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 867, 306, 56, 633?
Answer: HCF of 867, 306, 56, 633 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 867, 306, 56, 633 using Euclid's Algorithm?
Answer: For arbitrary numbers 867, 306, 56, 633 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.