Highest Common Factor of 936, 792, 645, 56 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 936, 792, 645, 56 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 936, 792, 645, 56 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 936, 792, 645, 56 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 936, 792, 645, 56 is 1.
HCF(936, 792, 645, 56) = 1
HCF of 936, 792, 645, 56 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 936, 792, 645, 56 is 1.
Highest Common Factor of 936,792,645,56 is 1
Step 1: Since 936 > 792, we apply the division lemma to 936 and 792, to get
936 = 792 x 1 + 144
Step 2: Since the reminder 792 ≠ 0, we apply division lemma to 144 and 792, to get
792 = 144 x 5 + 72
Step 3: We consider the new divisor 144 and the new remainder 72, and apply the division lemma to get
144 = 72 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 72, the HCF of 936 and 792 is 72
Notice that 72 = HCF(144,72) = HCF(792,144) = HCF(936,792) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 645 > 72, we apply the division lemma to 645 and 72, to get
645 = 72 x 8 + 69
Step 2: Since the reminder 72 ≠ 0, we apply division lemma to 69 and 72, to get
72 = 69 x 1 + 3
Step 3: We consider the new divisor 69 and the new remainder 3, and apply the division lemma to get
69 = 3 x 23 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 72 and 645 is 3
Notice that 3 = HCF(69,3) = HCF(72,69) = HCF(645,72) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 56 > 3, we apply the division lemma to 56 and 3, to get
56 = 3 x 18 + 2
Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 2 and 3, to get
3 = 2 x 1 + 1
Step 3: 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 3 and 56 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(56,3) .
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Frequently Asked Questions on HCF of 936, 792, 645, 56 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 936, 792, 645, 56?
Answer: HCF of 936, 792, 645, 56 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 936, 792, 645, 56 using Euclid's Algorithm?
Answer: For arbitrary numbers 936, 792, 645, 56 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.