Highest Common Factor of 2339, 3577 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 2339, 3577 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2339, 3577 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 2339, 3577 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 2339, 3577 is 1.
HCF(2339, 3577) = 1
HCF of 2339, 3577 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2339, 3577 is 1.
Highest Common Factor of 2339,3577 is 1
Step 1: Since 3577 > 2339, we apply the division lemma to 3577 and 2339, to get
3577 = 2339 x 1 + 1238
Step 2: Since the reminder 2339 ≠ 0, we apply division lemma to 1238 and 2339, to get
2339 = 1238 x 1 + 1101
Step 3: We consider the new divisor 1238 and the new remainder 1101, and apply the division lemma to get
1238 = 1101 x 1 + 137
We consider the new divisor 1101 and the new remainder 137,and apply the division lemma to get
1101 = 137 x 8 + 5
We consider the new divisor 137 and the new remainder 5,and apply the division lemma to get
137 = 5 x 27 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 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 2339 and 3577 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(137,5) = HCF(1101,137) = HCF(1238,1101) = HCF(2339,1238) = HCF(3577,2339) .
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Frequently Asked Questions on HCF of 2339, 3577 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 2339, 3577?
Answer: HCF of 2339, 3577 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2339, 3577 using Euclid's Algorithm?
Answer: For arbitrary numbers 2339, 3577 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
