Highest Common Factor of 281, 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 281, 500 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 281, 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 281, 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 281, 500 is 1.
HCF(281, 500) = 1
HCF of 281, 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 281, 500 is 1.
Highest Common Factor of 281,500 is 1
Step 1: Since 500 > 281, we apply the division lemma to 500 and 281, to get
500 = 281 x 1 + 219
Step 2: Since the reminder 281 ≠ 0, we apply division lemma to 219 and 281, to get
281 = 219 x 1 + 62
Step 3: We consider the new divisor 219 and the new remainder 62, and apply the division lemma to get
219 = 62 x 3 + 33
We consider the new divisor 62 and the new remainder 33,and apply the division lemma to get
62 = 33 x 1 + 29
We consider the new divisor 33 and the new remainder 29,and apply the division lemma to get
33 = 29 x 1 + 4
We consider the new divisor 29 and the new remainder 4,and apply the division lemma to get
29 = 4 x 7 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 281 and 500 is 1
Notice that 1 = HCF(4,1) = HCF(29,4) = HCF(33,29) = HCF(62,33) = HCF(219,62) = HCF(281,219) = HCF(500,281) .
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Frequently Asked Questions on HCF of 281, 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 281, 500?
Answer: HCF of 281, 500 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 281, 500 using Euclid's Algorithm?
Answer: For arbitrary numbers 281, 500 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.