Highest Common Factor of 3524, 787 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 3524, 787 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3524, 787 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 3524, 787 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 3524, 787 is 1.
HCF(3524, 787) = 1
HCF of 3524, 787 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3524, 787 is 1.
Highest Common Factor of 3524,787 is 1
Step 1: Since 3524 > 787, we apply the division lemma to 3524 and 787, to get
3524 = 787 x 4 + 376
Step 2: Since the reminder 787 ≠ 0, we apply division lemma to 376 and 787, to get
787 = 376 x 2 + 35
Step 3: We consider the new divisor 376 and the new remainder 35, and apply the division lemma to get
376 = 35 x 10 + 26
We consider the new divisor 35 and the new remainder 26,and apply the division lemma to get
35 = 26 x 1 + 9
We consider the new divisor 26 and the new remainder 9,and apply the division lemma to get
26 = 9 x 2 + 8
We consider the new divisor 9 and the new remainder 8,and apply the division lemma to get
9 = 8 x 1 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3524 and 787 is 1
Notice that 1 = HCF(8,1) = HCF(9,8) = HCF(26,9) = HCF(35,26) = HCF(376,35) = HCF(787,376) = HCF(3524,787) .
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Frequently Asked Questions on HCF of 3524, 787 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 3524, 787?
Answer: HCF of 3524, 787 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3524, 787 using Euclid's Algorithm?
Answer: For arbitrary numbers 3524, 787 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.