Highest Common Factor of 5263, 5087 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 5263, 5087 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5263, 5087 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 5263, 5087 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 5263, 5087 is 1.
HCF(5263, 5087) = 1
HCF of 5263, 5087 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5263, 5087 is 1.
Highest Common Factor of 5263,5087 is 1
Step 1: Since 5263 > 5087, we apply the division lemma to 5263 and 5087, to get
5263 = 5087 x 1 + 176
Step 2: Since the reminder 5087 ≠ 0, we apply division lemma to 176 and 5087, to get
5087 = 176 x 28 + 159
Step 3: We consider the new divisor 176 and the new remainder 159, and apply the division lemma to get
176 = 159 x 1 + 17
We consider the new divisor 159 and the new remainder 17,and apply the division lemma to get
159 = 17 x 9 + 6
We consider the new divisor 17 and the new remainder 6,and apply the division lemma to get
17 = 6 x 2 + 5
We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get
6 = 5 x 1 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5263 and 5087 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(17,6) = HCF(159,17) = HCF(176,159) = HCF(5087,176) = HCF(5263,5087) .
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Frequently Asked Questions on HCF of 5263, 5087 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 5263, 5087?
Answer: HCF of 5263, 5087 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5263, 5087 using Euclid's Algorithm?
Answer: For arbitrary numbers 5263, 5087 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.