Highest Common Factor of 5003, 1385 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, 1385 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5003, 1385 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, 1385 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, 1385 is 1.
HCF(5003, 1385) = 1
HCF of 5003, 1385 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, 1385 is 1.
Highest Common Factor of 5003,1385 is 1
Step 1: Since 5003 > 1385, we apply the division lemma to 5003 and 1385, to get
5003 = 1385 x 3 + 848
Step 2: Since the reminder 1385 ≠ 0, we apply division lemma to 848 and 1385, to get
1385 = 848 x 1 + 537
Step 3: We consider the new divisor 848 and the new remainder 537, and apply the division lemma to get
848 = 537 x 1 + 311
We consider the new divisor 537 and the new remainder 311,and apply the division lemma to get
537 = 311 x 1 + 226
We consider the new divisor 311 and the new remainder 226,and apply the division lemma to get
311 = 226 x 1 + 85
We consider the new divisor 226 and the new remainder 85,and apply the division lemma to get
226 = 85 x 2 + 56
We consider the new divisor 85 and the new remainder 56,and apply the division lemma to get
85 = 56 x 1 + 29
We consider the new divisor 56 and the new remainder 29,and apply the division lemma to get
56 = 29 x 1 + 27
We consider the new divisor 29 and the new remainder 27,and apply the division lemma to get
29 = 27 x 1 + 2
We consider the new divisor 27 and the new remainder 2,and apply the division lemma to get
27 = 2 x 13 + 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 1385 is 1
Notice that 1 = HCF(2,1) = HCF(27,2) = HCF(29,27) = HCF(56,29) = HCF(85,56) = HCF(226,85) = HCF(311,226) = HCF(537,311) = HCF(848,537) = HCF(1385,848) = HCF(5003,1385) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 5003, 1385 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, 1385?
Answer: HCF of 5003, 1385 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5003, 1385 using Euclid's Algorithm?
Answer: For arbitrary numbers 5003, 1385 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.