Highest Common Factor of 3503, 2188 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 3503, 2188 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3503, 2188 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 3503, 2188 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 3503, 2188 is 1.
HCF(3503, 2188) = 1
HCF of 3503, 2188 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3503, 2188 is 1.
Highest Common Factor of 3503,2188 is 1
Step 1: Since 3503 > 2188, we apply the division lemma to 3503 and 2188, to get
3503 = 2188 x 1 + 1315
Step 2: Since the reminder 2188 ≠ 0, we apply division lemma to 1315 and 2188, to get
2188 = 1315 x 1 + 873
Step 3: We consider the new divisor 1315 and the new remainder 873, and apply the division lemma to get
1315 = 873 x 1 + 442
We consider the new divisor 873 and the new remainder 442,and apply the division lemma to get
873 = 442 x 1 + 431
We consider the new divisor 442 and the new remainder 431,and apply the division lemma to get
442 = 431 x 1 + 11
We consider the new divisor 431 and the new remainder 11,and apply the division lemma to get
431 = 11 x 39 + 2
We consider the new divisor 11 and the new remainder 2,and apply the division lemma to get
11 = 2 x 5 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3503 and 2188 is 1
Notice that 1 = HCF(2,1) = HCF(11,2) = HCF(431,11) = HCF(442,431) = HCF(873,442) = HCF(1315,873) = HCF(2188,1315) = HCF(3503,2188) .
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Frequently Asked Questions on HCF of 3503, 2188 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 3503, 2188?
Answer: HCF of 3503, 2188 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3503, 2188 using Euclid's Algorithm?
Answer: For arbitrary numbers 3503, 2188 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.