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 3403, 5223 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3403, 5223 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 3403, 5223 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 3403, 5223 is 1.
HCF(3403, 5223) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3403, 5223 is 1.
Step 1: Since 5223 > 3403, we apply the division lemma to 5223 and 3403, to get
5223 = 3403 x 1 + 1820
Step 2: Since the reminder 3403 ≠ 0, we apply division lemma to 1820 and 3403, to get
3403 = 1820 x 1 + 1583
Step 3: We consider the new divisor 1820 and the new remainder 1583, and apply the division lemma to get
1820 = 1583 x 1 + 237
We consider the new divisor 1583 and the new remainder 237,and apply the division lemma to get
1583 = 237 x 6 + 161
We consider the new divisor 237 and the new remainder 161,and apply the division lemma to get
237 = 161 x 1 + 76
We consider the new divisor 161 and the new remainder 76,and apply the division lemma to get
161 = 76 x 2 + 9
We consider the new divisor 76 and the new remainder 9,and apply the division lemma to get
76 = 9 x 8 + 4
We consider the new divisor 9 and the new remainder 4,and apply the division lemma to get
9 = 4 x 2 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3403 and 5223 is 1
Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(76,9) = HCF(161,76) = HCF(237,161) = HCF(1583,237) = HCF(1820,1583) = HCF(3403,1820) = HCF(5223,3403) .
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 3403, 5223?
Answer: HCF of 3403, 5223 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3403, 5223 using Euclid's Algorithm?
Answer: For arbitrary numbers 3403, 5223 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.