Highest Common Factor of 797, 562, 936, 818 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 797, 562, 936, 818 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 797, 562, 936, 818 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 797, 562, 936, 818 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 797, 562, 936, 818 is 1.
HCF(797, 562, 936, 818) = 1
HCF of 797, 562, 936, 818 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 797, 562, 936, 818 is 1.
Highest Common Factor of 797,562,936,818 is 1
Step 1: Since 797 > 562, we apply the division lemma to 797 and 562, to get
797 = 562 x 1 + 235
Step 2: Since the reminder 562 ≠ 0, we apply division lemma to 235 and 562, to get
562 = 235 x 2 + 92
Step 3: We consider the new divisor 235 and the new remainder 92, and apply the division lemma to get
235 = 92 x 2 + 51
We consider the new divisor 92 and the new remainder 51,and apply the division lemma to get
92 = 51 x 1 + 41
We consider the new divisor 51 and the new remainder 41,and apply the division lemma to get
51 = 41 x 1 + 10
We consider the new divisor 41 and the new remainder 10,and apply the division lemma to get
41 = 10 x 4 + 1
We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 797 and 562 is 1
Notice that 1 = HCF(10,1) = HCF(41,10) = HCF(51,41) = HCF(92,51) = HCF(235,92) = HCF(562,235) = HCF(797,562) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 936 > 1, we apply the division lemma to 936 and 1, to get
936 = 1 x 936 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 936 is 1
Notice that 1 = HCF(936,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 818 > 1, we apply the division lemma to 818 and 1, to get
818 = 1 x 818 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 818 is 1
Notice that 1 = HCF(818,1) .
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Frequently Asked Questions on HCF of 797, 562, 936, 818 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 797, 562, 936, 818?
Answer: HCF of 797, 562, 936, 818 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 797, 562, 936, 818 using Euclid's Algorithm?
Answer: For arbitrary numbers 797, 562, 936, 818 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.