Highest Common Factor of 5703, 4497 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 5703, 4497 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 5703, 4497 is 3 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 5703, 4497 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 5703, 4497 is 3.
HCF(5703, 4497) = 3
HCF of 5703, 4497 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5703, 4497 is 3.
Highest Common Factor of 5703,4497 is 3
Step 1: Since 5703 > 4497, we apply the division lemma to 5703 and 4497, to get
5703 = 4497 x 1 + 1206
Step 2: Since the reminder 4497 ≠ 0, we apply division lemma to 1206 and 4497, to get
4497 = 1206 x 3 + 879
Step 3: We consider the new divisor 1206 and the new remainder 879, and apply the division lemma to get
1206 = 879 x 1 + 327
We consider the new divisor 879 and the new remainder 327,and apply the division lemma to get
879 = 327 x 2 + 225
We consider the new divisor 327 and the new remainder 225,and apply the division lemma to get
327 = 225 x 1 + 102
We consider the new divisor 225 and the new remainder 102,and apply the division lemma to get
225 = 102 x 2 + 21
We consider the new divisor 102 and the new remainder 21,and apply the division lemma to get
102 = 21 x 4 + 18
We consider the new divisor 21 and the new remainder 18,and apply the division lemma to get
21 = 18 x 1 + 3
We consider the new divisor 18 and the new remainder 3,and apply the division lemma to get
18 = 3 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 5703 and 4497 is 3
Notice that 3 = HCF(18,3) = HCF(21,18) = HCF(102,21) = HCF(225,102) = HCF(327,225) = HCF(879,327) = HCF(1206,879) = HCF(4497,1206) = HCF(5703,4497) .
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Frequently Asked Questions on HCF of 5703, 4497 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 5703, 4497?
Answer: HCF of 5703, 4497 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5703, 4497 using Euclid's Algorithm?
Answer: For arbitrary numbers 5703, 4497 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
