Highest Common Factor of 5003, 9316 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 5003, 9316 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5003, 9316 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 5003, 9316 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 5003, 9316 is 1.
HCF(5003, 9316) = 1
HCF of 5003, 9316 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5003, 9316 is 1.
Highest Common Factor of 5003,9316 is 1
Step 1: Since 9316 > 5003, we apply the division lemma to 9316 and 5003, to get
9316 = 5003 x 1 + 4313
Step 2: Since the reminder 5003 ≠ 0, we apply division lemma to 4313 and 5003, to get
5003 = 4313 x 1 + 690
Step 3: We consider the new divisor 4313 and the new remainder 690, and apply the division lemma to get
4313 = 690 x 6 + 173
We consider the new divisor 690 and the new remainder 173,and apply the division lemma to get
690 = 173 x 3 + 171
We consider the new divisor 173 and the new remainder 171,and apply the division lemma to get
173 = 171 x 1 + 2
We consider the new divisor 171 and the new remainder 2,and apply the division lemma to get
171 = 2 x 85 + 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 5003 and 9316 is 1
Notice that 1 = HCF(2,1) = HCF(171,2) = HCF(173,171) = HCF(690,173) = HCF(4313,690) = HCF(5003,4313) = HCF(9316,5003) .
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Frequently Asked Questions on HCF of 5003, 9316 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 5003, 9316?
Answer: HCF of 5003, 9316 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5003, 9316 using Euclid's Algorithm?
Answer: For arbitrary numbers 5003, 9316 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
