Highest Common Factor of 881, 500 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, 500 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 881, 500 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, 500 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, 500 is 1.
HCF(881, 500) = 1
HCF of 881, 500 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, 500 is 1.
Highest Common Factor of 881,500 is 1
Step 1: Since 881 > 500, we apply the division lemma to 881 and 500, to get
881 = 500 x 1 + 381
Step 2: Since the reminder 500 ≠ 0, we apply division lemma to 381 and 500, to get
500 = 381 x 1 + 119
Step 3: We consider the new divisor 381 and the new remainder 119, and apply the division lemma to get
381 = 119 x 3 + 24
We consider the new divisor 119 and the new remainder 24,and apply the division lemma to get
119 = 24 x 4 + 23
We consider the new divisor 24 and the new remainder 23,and apply the division lemma to get
24 = 23 x 1 + 1
We consider the new divisor 23 and the new remainder 1,and apply the division lemma to get
23 = 1 x 23 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 881 and 500 is 1
Notice that 1 = HCF(23,1) = HCF(24,23) = HCF(119,24) = HCF(381,119) = HCF(500,381) = HCF(881,500) .
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Frequently Asked Questions on HCF of 881, 500 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, 500?
Answer: HCF of 881, 500 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 881, 500 using Euclid's Algorithm?
Answer: For arbitrary numbers 881, 500 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.