Highest Common Factor of 709, 7602, 3633 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 709, 7602, 3633 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 709, 7602, 3633 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 709, 7602, 3633 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 709, 7602, 3633 is 1.
HCF(709, 7602, 3633) = 1
HCF of 709, 7602, 3633 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 709, 7602, 3633 is 1.
Highest Common Factor of 709,7602,3633 is 1
Step 1: Since 7602 > 709, we apply the division lemma to 7602 and 709, to get
7602 = 709 x 10 + 512
Step 2: Since the reminder 709 ≠ 0, we apply division lemma to 512 and 709, to get
709 = 512 x 1 + 197
Step 3: We consider the new divisor 512 and the new remainder 197, and apply the division lemma to get
512 = 197 x 2 + 118
We consider the new divisor 197 and the new remainder 118,and apply the division lemma to get
197 = 118 x 1 + 79
We consider the new divisor 118 and the new remainder 79,and apply the division lemma to get
118 = 79 x 1 + 39
We consider the new divisor 79 and the new remainder 39,and apply the division lemma to get
79 = 39 x 2 + 1
We consider the new divisor 39 and the new remainder 1,and apply the division lemma to get
39 = 1 x 39 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 709 and 7602 is 1
Notice that 1 = HCF(39,1) = HCF(79,39) = HCF(118,79) = HCF(197,118) = HCF(512,197) = HCF(709,512) = HCF(7602,709) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 3633 > 1, we apply the division lemma to 3633 and 1, to get
3633 = 1 x 3633 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 3633 is 1
Notice that 1 = HCF(3633,1) .
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Frequently Asked Questions on HCF of 709, 7602, 3633 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 709, 7602, 3633?
Answer: HCF of 709, 7602, 3633 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 709, 7602, 3633 using Euclid's Algorithm?
Answer: For arbitrary numbers 709, 7602, 3633 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.