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 6673, 5598 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6673, 5598 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 6673, 5598 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 6673, 5598 is 1.
HCF(6673, 5598) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6673, 5598 is 1.
Step 1: Since 6673 > 5598, we apply the division lemma to 6673 and 5598, to get
6673 = 5598 x 1 + 1075
Step 2: Since the reminder 5598 ≠ 0, we apply division lemma to 1075 and 5598, to get
5598 = 1075 x 5 + 223
Step 3: We consider the new divisor 1075 and the new remainder 223, and apply the division lemma to get
1075 = 223 x 4 + 183
We consider the new divisor 223 and the new remainder 183,and apply the division lemma to get
223 = 183 x 1 + 40
We consider the new divisor 183 and the new remainder 40,and apply the division lemma to get
183 = 40 x 4 + 23
We consider the new divisor 40 and the new remainder 23,and apply the division lemma to get
40 = 23 x 1 + 17
We consider the new divisor 23 and the new remainder 17,and apply the division lemma to get
23 = 17 x 1 + 6
We consider the new divisor 17 and the new remainder 6,and apply the division lemma to get
17 = 6 x 2 + 5
We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get
6 = 5 x 1 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6673 and 5598 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(17,6) = HCF(23,17) = HCF(40,23) = HCF(183,40) = HCF(223,183) = HCF(1075,223) = HCF(5598,1075) = HCF(6673,5598) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 6673, 5598?
Answer: HCF of 6673, 5598 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6673, 5598 using Euclid's Algorithm?
Answer: For arbitrary numbers 6673, 5598 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.