Highest Common Factor of 655, 6449, 9471 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 655, 6449, 9471 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 655, 6449, 9471 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 655, 6449, 9471 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 655, 6449, 9471 is 1.
HCF(655, 6449, 9471) = 1
HCF of 655, 6449, 9471 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 655, 6449, 9471 is 1.
Highest Common Factor of 655,6449,9471 is 1
Step 1: Since 6449 > 655, we apply the division lemma to 6449 and 655, to get
6449 = 655 x 9 + 554
Step 2: Since the reminder 655 ≠ 0, we apply division lemma to 554 and 655, to get
655 = 554 x 1 + 101
Step 3: We consider the new divisor 554 and the new remainder 101, and apply the division lemma to get
554 = 101 x 5 + 49
We consider the new divisor 101 and the new remainder 49,and apply the division lemma to get
101 = 49 x 2 + 3
We consider the new divisor 49 and the new remainder 3,and apply the division lemma to get
49 = 3 x 16 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 655 and 6449 is 1
Notice that 1 = HCF(3,1) = HCF(49,3) = HCF(101,49) = HCF(554,101) = HCF(655,554) = HCF(6449,655) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 9471 > 1, we apply the division lemma to 9471 and 1, to get
9471 = 1 x 9471 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 9471 is 1
Notice that 1 = HCF(9471,1) .
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Frequently Asked Questions on HCF of 655, 6449, 9471 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 655, 6449, 9471?
Answer: HCF of 655, 6449, 9471 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 655, 6449, 9471 using Euclid's Algorithm?
Answer: For arbitrary numbers 655, 6449, 9471 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.