Highest Common Factor of 1699, 5530 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 1699, 5530 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1699, 5530 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 1699, 5530 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 1699, 5530 is 1.
HCF(1699, 5530) = 1
HCF of 1699, 5530 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1699, 5530 is 1.
Highest Common Factor of 1699,5530 is 1
Step 1: Since 5530 > 1699, we apply the division lemma to 5530 and 1699, to get
5530 = 1699 x 3 + 433
Step 2: Since the reminder 1699 ≠ 0, we apply division lemma to 433 and 1699, to get
1699 = 433 x 3 + 400
Step 3: We consider the new divisor 433 and the new remainder 400, and apply the division lemma to get
433 = 400 x 1 + 33
We consider the new divisor 400 and the new remainder 33,and apply the division lemma to get
400 = 33 x 12 + 4
We consider the new divisor 33 and the new remainder 4,and apply the division lemma to get
33 = 4 x 8 + 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 1699 and 5530 is 1
Notice that 1 = HCF(4,1) = HCF(33,4) = HCF(400,33) = HCF(433,400) = HCF(1699,433) = HCF(5530,1699) .
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Frequently Asked Questions on HCF of 1699, 5530 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 1699, 5530?
Answer: HCF of 1699, 5530 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1699, 5530 using Euclid's Algorithm?
Answer: For arbitrary numbers 1699, 5530 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
