Highest Common Factor of 6955, 9489 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 6955, 9489 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6955, 9489 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 6955, 9489 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 6955, 9489 is 1.
HCF(6955, 9489) = 1
HCF of 6955, 9489 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6955, 9489 is 1.
Highest Common Factor of 6955,9489 is 1
Step 1: Since 9489 > 6955, we apply the division lemma to 9489 and 6955, to get
9489 = 6955 x 1 + 2534
Step 2: Since the reminder 6955 ≠ 0, we apply division lemma to 2534 and 6955, to get
6955 = 2534 x 2 + 1887
Step 3: We consider the new divisor 2534 and the new remainder 1887, and apply the division lemma to get
2534 = 1887 x 1 + 647
We consider the new divisor 1887 and the new remainder 647,and apply the division lemma to get
1887 = 647 x 2 + 593
We consider the new divisor 647 and the new remainder 593,and apply the division lemma to get
647 = 593 x 1 + 54
We consider the new divisor 593 and the new remainder 54,and apply the division lemma to get
593 = 54 x 10 + 53
We consider the new divisor 54 and the new remainder 53,and apply the division lemma to get
54 = 53 x 1 + 1
We consider the new divisor 53 and the new remainder 1,and apply the division lemma to get
53 = 1 x 53 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6955 and 9489 is 1
Notice that 1 = HCF(53,1) = HCF(54,53) = HCF(593,54) = HCF(647,593) = HCF(1887,647) = HCF(2534,1887) = HCF(6955,2534) = HCF(9489,6955) .
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Frequently Asked Questions on HCF of 6955, 9489 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 6955, 9489?
Answer: HCF of 6955, 9489 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6955, 9489 using Euclid's Algorithm?
Answer: For arbitrary numbers 6955, 9489 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.