Highest Common Factor of 827, 45796 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, 45796 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 827, 45796 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, 45796 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, 45796 is 1.
HCF(827, 45796) = 1
HCF of 827, 45796 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, 45796 is 1.
Highest Common Factor of 827,45796 is 1
Step 1: Since 45796 > 827, we apply the division lemma to 45796 and 827, to get
45796 = 827 x 55 + 311
Step 2: Since the reminder 827 ≠ 0, we apply division lemma to 311 and 827, to get
827 = 311 x 2 + 205
Step 3: We consider the new divisor 311 and the new remainder 205, and apply the division lemma to get
311 = 205 x 1 + 106
We consider the new divisor 205 and the new remainder 106,and apply the division lemma to get
205 = 106 x 1 + 99
We consider the new divisor 106 and the new remainder 99,and apply the division lemma to get
106 = 99 x 1 + 7
We consider the new divisor 99 and the new remainder 7,and apply the division lemma to get
99 = 7 x 14 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 827 and 45796 is 1
Notice that 1 = HCF(7,1) = HCF(99,7) = HCF(106,99) = HCF(205,106) = HCF(311,205) = HCF(827,311) = HCF(45796,827) .
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Frequently Asked Questions on HCF of 827, 45796 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, 45796?
Answer: HCF of 827, 45796 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 827, 45796 using Euclid's Algorithm?
Answer: For arbitrary numbers 827, 45796 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
