Highest Common Factor of 649, 9605 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 649, 9605 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 649, 9605 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 649, 9605 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 649, 9605 is 1.
HCF(649, 9605) = 1
HCF of 649, 9605 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 649, 9605 is 1.
Highest Common Factor of 649,9605 is 1
Step 1: Since 9605 > 649, we apply the division lemma to 9605 and 649, to get
9605 = 649 x 14 + 519
Step 2: Since the reminder 649 ≠ 0, we apply division lemma to 519 and 649, to get
649 = 519 x 1 + 130
Step 3: We consider the new divisor 519 and the new remainder 130, and apply the division lemma to get
519 = 130 x 3 + 129
We consider the new divisor 130 and the new remainder 129,and apply the division lemma to get
130 = 129 x 1 + 1
We consider the new divisor 129 and the new remainder 1,and apply the division lemma to get
129 = 1 x 129 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 649 and 9605 is 1
Notice that 1 = HCF(129,1) = HCF(130,129) = HCF(519,130) = HCF(649,519) = HCF(9605,649) .
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Frequently Asked Questions on HCF of 649, 9605 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 649, 9605?
Answer: HCF of 649, 9605 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 649, 9605 using Euclid's Algorithm?
Answer: For arbitrary numbers 649, 9605 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.