Highest Common Factor of 881, 44824 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 881, 44824 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 881, 44824 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 881, 44824 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 881, 44824 is 1.
HCF(881, 44824) = 1
HCF of 881, 44824 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 881, 44824 is 1.
Highest Common Factor of 881,44824 is 1
Step 1: Since 44824 > 881, we apply the division lemma to 44824 and 881, to get
44824 = 881 x 50 + 774
Step 2: Since the reminder 881 ≠ 0, we apply division lemma to 774 and 881, to get
881 = 774 x 1 + 107
Step 3: We consider the new divisor 774 and the new remainder 107, and apply the division lemma to get
774 = 107 x 7 + 25
We consider the new divisor 107 and the new remainder 25,and apply the division lemma to get
107 = 25 x 4 + 7
We consider the new divisor 25 and the new remainder 7,and apply the division lemma to get
25 = 7 x 3 + 4
We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get
7 = 4 x 1 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 881 and 44824 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(25,7) = HCF(107,25) = HCF(774,107) = HCF(881,774) = HCF(44824,881) .
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Frequently Asked Questions on HCF of 881, 44824 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 881, 44824?
Answer: HCF of 881, 44824 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 881, 44824 using Euclid's Algorithm?
Answer: For arbitrary numbers 881, 44824 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.