Highest Common Factor of 2993, 3529 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 2993, 3529 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2993, 3529 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 2993, 3529 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 2993, 3529 is 1.
HCF(2993, 3529) = 1
HCF of 2993, 3529 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2993, 3529 is 1.
Highest Common Factor of 2993,3529 is 1
Step 1: Since 3529 > 2993, we apply the division lemma to 3529 and 2993, to get
3529 = 2993 x 1 + 536
Step 2: Since the reminder 2993 ≠ 0, we apply division lemma to 536 and 2993, to get
2993 = 536 x 5 + 313
Step 3: We consider the new divisor 536 and the new remainder 313, and apply the division lemma to get
536 = 313 x 1 + 223
We consider the new divisor 313 and the new remainder 223,and apply the division lemma to get
313 = 223 x 1 + 90
We consider the new divisor 223 and the new remainder 90,and apply the division lemma to get
223 = 90 x 2 + 43
We consider the new divisor 90 and the new remainder 43,and apply the division lemma to get
90 = 43 x 2 + 4
We consider the new divisor 43 and the new remainder 4,and apply the division lemma to get
43 = 4 x 10 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2993 and 3529 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(43,4) = HCF(90,43) = HCF(223,90) = HCF(313,223) = HCF(536,313) = HCF(2993,536) = HCF(3529,2993) .
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Frequently Asked Questions on HCF of 2993, 3529 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 2993, 3529?
Answer: HCF of 2993, 3529 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2993, 3529 using Euclid's Algorithm?
Answer: For arbitrary numbers 2993, 3529 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.