Highest Common Factor of 881, 57792 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, 57792 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 881, 57792 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, 57792 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, 57792 is 1.
HCF(881, 57792) = 1
HCF of 881, 57792 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, 57792 is 1.
Highest Common Factor of 881,57792 is 1
Step 1: Since 57792 > 881, we apply the division lemma to 57792 and 881, to get
57792 = 881 x 65 + 527
Step 2: Since the reminder 881 ≠ 0, we apply division lemma to 527 and 881, to get
881 = 527 x 1 + 354
Step 3: We consider the new divisor 527 and the new remainder 354, and apply the division lemma to get
527 = 354 x 1 + 173
We consider the new divisor 354 and the new remainder 173,and apply the division lemma to get
354 = 173 x 2 + 8
We consider the new divisor 173 and the new remainder 8,and apply the division lemma to get
173 = 8 x 21 + 5
We consider the new divisor 8 and the new remainder 5,and apply the division lemma to get
8 = 5 x 1 + 3
We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get
5 = 3 x 1 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 881 and 57792 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(8,5) = HCF(173,8) = HCF(354,173) = HCF(527,354) = HCF(881,527) = HCF(57792,881) .
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Frequently Asked Questions on HCF of 881, 57792 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, 57792?
Answer: HCF of 881, 57792 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 881, 57792 using Euclid's Algorithm?
Answer: For arbitrary numbers 881, 57792 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.