Highest Common Factor of 1478, 5003 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 1478, 5003 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1478, 5003 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 1478, 5003 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 1478, 5003 is 1.
HCF(1478, 5003) = 1
HCF of 1478, 5003 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1478, 5003 is 1.
Highest Common Factor of 1478,5003 is 1
Step 1: Since 5003 > 1478, we apply the division lemma to 5003 and 1478, to get
5003 = 1478 x 3 + 569
Step 2: Since the reminder 1478 ≠ 0, we apply division lemma to 569 and 1478, to get
1478 = 569 x 2 + 340
Step 3: We consider the new divisor 569 and the new remainder 340, and apply the division lemma to get
569 = 340 x 1 + 229
We consider the new divisor 340 and the new remainder 229,and apply the division lemma to get
340 = 229 x 1 + 111
We consider the new divisor 229 and the new remainder 111,and apply the division lemma to get
229 = 111 x 2 + 7
We consider the new divisor 111 and the new remainder 7,and apply the division lemma to get
111 = 7 x 15 + 6
We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get
7 = 6 x 1 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1478 and 5003 is 1
Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(111,7) = HCF(229,111) = HCF(340,229) = HCF(569,340) = HCF(1478,569) = HCF(5003,1478) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 1478, 5003 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 1478, 5003?
Answer: HCF of 1478, 5003 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1478, 5003 using Euclid's Algorithm?
Answer: For arbitrary numbers 1478, 5003 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.