Highest Common Factor of 5678, 6003 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 5678, 6003 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5678, 6003 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 5678, 6003 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 5678, 6003 is 1.
HCF(5678, 6003) = 1
HCF of 5678, 6003 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5678, 6003 is 1.
Highest Common Factor of 5678,6003 is 1
Step 1: Since 6003 > 5678, we apply the division lemma to 6003 and 5678, to get
6003 = 5678 x 1 + 325
Step 2: Since the reminder 5678 ≠ 0, we apply division lemma to 325 and 5678, to get
5678 = 325 x 17 + 153
Step 3: We consider the new divisor 325 and the new remainder 153, and apply the division lemma to get
325 = 153 x 2 + 19
We consider the new divisor 153 and the new remainder 19,and apply the division lemma to get
153 = 19 x 8 + 1
We consider the new divisor 19 and the new remainder 1,and apply the division lemma to get
19 = 1 x 19 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5678 and 6003 is 1
Notice that 1 = HCF(19,1) = HCF(153,19) = HCF(325,153) = HCF(5678,325) = HCF(6003,5678) .
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Frequently Asked Questions on HCF of 5678, 6003 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 5678, 6003?
Answer: HCF of 5678, 6003 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5678, 6003 using Euclid's Algorithm?
Answer: For arbitrary numbers 5678, 6003 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.