Highest Common Factor of 3542, 6739 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 3542, 6739 i.e. 23 the largest integer that leaves a remainder zero for all numbers.
HCF of 3542, 6739 is 23 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 3542, 6739 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 3542, 6739 is 23.
HCF(3542, 6739) = 23
HCF of 3542, 6739 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3542, 6739 is 23.
Highest Common Factor of 3542,6739 is 23
Step 1: Since 6739 > 3542, we apply the division lemma to 6739 and 3542, to get
6739 = 3542 x 1 + 3197
Step 2: Since the reminder 3542 ≠ 0, we apply division lemma to 3197 and 3542, to get
3542 = 3197 x 1 + 345
Step 3: We consider the new divisor 3197 and the new remainder 345, and apply the division lemma to get
3197 = 345 x 9 + 92
We consider the new divisor 345 and the new remainder 92,and apply the division lemma to get
345 = 92 x 3 + 69
We consider the new divisor 92 and the new remainder 69,and apply the division lemma to get
92 = 69 x 1 + 23
We consider the new divisor 69 and the new remainder 23,and apply the division lemma to get
69 = 23 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 23, the HCF of 3542 and 6739 is 23
Notice that 23 = HCF(69,23) = HCF(92,69) = HCF(345,92) = HCF(3197,345) = HCF(3542,3197) = HCF(6739,3542) .
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Frequently Asked Questions on HCF of 3542, 6739 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 3542, 6739?
Answer: HCF of 3542, 6739 is 23 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3542, 6739 using Euclid's Algorithm?
Answer: For arbitrary numbers 3542, 6739 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.