Highest Common Factor of 827, 4794 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 827, 4794 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 827, 4794 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 827, 4794 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 827, 4794 is 1.
HCF(827, 4794) = 1
HCF of 827, 4794 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 827, 4794 is 1.
Highest Common Factor of 827,4794 is 1
Step 1: Since 4794 > 827, we apply the division lemma to 4794 and 827, to get
4794 = 827 x 5 + 659
Step 2: Since the reminder 827 ≠ 0, we apply division lemma to 659 and 827, to get
827 = 659 x 1 + 168
Step 3: We consider the new divisor 659 and the new remainder 168, and apply the division lemma to get
659 = 168 x 3 + 155
We consider the new divisor 168 and the new remainder 155,and apply the division lemma to get
168 = 155 x 1 + 13
We consider the new divisor 155 and the new remainder 13,and apply the division lemma to get
155 = 13 x 11 + 12
We consider the new divisor 13 and the new remainder 12,and apply the division lemma to get
13 = 12 x 1 + 1
We consider the new divisor 12 and the new remainder 1,and apply the division lemma to get
12 = 1 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 827 and 4794 is 1
Notice that 1 = HCF(12,1) = HCF(13,12) = HCF(155,13) = HCF(168,155) = HCF(659,168) = HCF(827,659) = HCF(4794,827) .
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Frequently Asked Questions on HCF of 827, 4794 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 827, 4794?
Answer: HCF of 827, 4794 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 827, 4794 using Euclid's Algorithm?
Answer: For arbitrary numbers 827, 4794 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.