Highest Common Factor of 3452, 5339 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 3452, 5339 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3452, 5339 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 3452, 5339 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 3452, 5339 is 1.
HCF(3452, 5339) = 1
HCF of 3452, 5339 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3452, 5339 is 1.
Highest Common Factor of 3452,5339 is 1
Step 1: Since 5339 > 3452, we apply the division lemma to 5339 and 3452, to get
5339 = 3452 x 1 + 1887
Step 2: Since the reminder 3452 ≠ 0, we apply division lemma to 1887 and 3452, to get
3452 = 1887 x 1 + 1565
Step 3: We consider the new divisor 1887 and the new remainder 1565, and apply the division lemma to get
1887 = 1565 x 1 + 322
We consider the new divisor 1565 and the new remainder 322,and apply the division lemma to get
1565 = 322 x 4 + 277
We consider the new divisor 322 and the new remainder 277,and apply the division lemma to get
322 = 277 x 1 + 45
We consider the new divisor 277 and the new remainder 45,and apply the division lemma to get
277 = 45 x 6 + 7
We consider the new divisor 45 and the new remainder 7,and apply the division lemma to get
45 = 7 x 6 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 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 3452 and 5339 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(45,7) = HCF(277,45) = HCF(322,277) = HCF(1565,322) = HCF(1887,1565) = HCF(3452,1887) = HCF(5339,3452) .
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Frequently Asked Questions on HCF of 3452, 5339 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 3452, 5339?
Answer: HCF of 3452, 5339 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3452, 5339 using Euclid's Algorithm?
Answer: For arbitrary numbers 3452, 5339 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.