Highest Common Factor of 994, 823 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 994, 823 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 994, 823 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 994, 823 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 994, 823 is 1.
HCF(994, 823) = 1
HCF of 994, 823 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 994, 823 is 1.
Highest Common Factor of 994,823 is 1
Step 1: Since 994 > 823, we apply the division lemma to 994 and 823, to get
994 = 823 x 1 + 171
Step 2: Since the reminder 823 ≠ 0, we apply division lemma to 171 and 823, to get
823 = 171 x 4 + 139
Step 3: We consider the new divisor 171 and the new remainder 139, and apply the division lemma to get
171 = 139 x 1 + 32
We consider the new divisor 139 and the new remainder 32,and apply the division lemma to get
139 = 32 x 4 + 11
We consider the new divisor 32 and the new remainder 11,and apply the division lemma to get
32 = 11 x 2 + 10
We consider the new divisor 11 and the new remainder 10,and apply the division lemma to get
11 = 10 x 1 + 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 994 and 823 is 1
Notice that 1 = HCF(10,1) = HCF(11,10) = HCF(32,11) = HCF(139,32) = HCF(171,139) = HCF(823,171) = HCF(994,823) .
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Frequently Asked Questions on HCF of 994, 823 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 994, 823?
Answer: HCF of 994, 823 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 994, 823 using Euclid's Algorithm?
Answer: For arbitrary numbers 994, 823 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.