Highest Common Factor of 5303, 8868 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 5303, 8868 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5303, 8868 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 5303, 8868 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 5303, 8868 is 1.
HCF(5303, 8868) = 1
HCF of 5303, 8868 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5303, 8868 is 1.
Highest Common Factor of 5303,8868 is 1
Step 1: Since 8868 > 5303, we apply the division lemma to 8868 and 5303, to get
8868 = 5303 x 1 + 3565
Step 2: Since the reminder 5303 ≠ 0, we apply division lemma to 3565 and 5303, to get
5303 = 3565 x 1 + 1738
Step 3: We consider the new divisor 3565 and the new remainder 1738, and apply the division lemma to get
3565 = 1738 x 2 + 89
We consider the new divisor 1738 and the new remainder 89,and apply the division lemma to get
1738 = 89 x 19 + 47
We consider the new divisor 89 and the new remainder 47,and apply the division lemma to get
89 = 47 x 1 + 42
We consider the new divisor 47 and the new remainder 42,and apply the division lemma to get
47 = 42 x 1 + 5
We consider the new divisor 42 and the new remainder 5,and apply the division lemma to get
42 = 5 x 8 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 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 5303 and 8868 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(42,5) = HCF(47,42) = HCF(89,47) = HCF(1738,89) = HCF(3565,1738) = HCF(5303,3565) = HCF(8868,5303) .
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Frequently Asked Questions on HCF of 5303, 8868 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 5303, 8868?
Answer: HCF of 5303, 8868 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5303, 8868 using Euclid's Algorithm?
Answer: For arbitrary numbers 5303, 8868 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
