Highest Common Factor of 693, 3542 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 693, 3542 i.e. 77 the largest integer that leaves a remainder zero for all numbers.
HCF of 693, 3542 is 77 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 693, 3542 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 693, 3542 is 77.
HCF(693, 3542) = 77
HCF of 693, 3542 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 693, 3542 is 77.
Highest Common Factor of 693,3542 is 77
Step 1: Since 3542 > 693, we apply the division lemma to 3542 and 693, to get
3542 = 693 x 5 + 77
Step 2: Since the reminder 693 ≠ 0, we apply division lemma to 77 and 693, to get
693 = 77 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 77, the HCF of 693 and 3542 is 77
Notice that 77 = HCF(693,77) = HCF(3542,693) .
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Frequently Asked Questions on HCF of 693, 3542 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 693, 3542?
Answer: HCF of 693, 3542 is 77 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 693, 3542 using Euclid's Algorithm?
Answer: For arbitrary numbers 693, 3542 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.