Highest Common Factor of 960, 9169, 5458 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 960, 9169, 5458 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 960, 9169, 5458 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 960, 9169, 5458 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 960, 9169, 5458 is 1.
HCF(960, 9169, 5458) = 1
HCF of 960, 9169, 5458 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 960, 9169, 5458 is 1.
Highest Common Factor of 960,9169,5458 is 1
Step 1: Since 9169 > 960, we apply the division lemma to 9169 and 960, to get
9169 = 960 x 9 + 529
Step 2: Since the reminder 960 ≠ 0, we apply division lemma to 529 and 960, to get
960 = 529 x 1 + 431
Step 3: We consider the new divisor 529 and the new remainder 431, and apply the division lemma to get
529 = 431 x 1 + 98
We consider the new divisor 431 and the new remainder 98,and apply the division lemma to get
431 = 98 x 4 + 39
We consider the new divisor 98 and the new remainder 39,and apply the division lemma to get
98 = 39 x 2 + 20
We consider the new divisor 39 and the new remainder 20,and apply the division lemma to get
39 = 20 x 1 + 19
We consider the new divisor 20 and the new remainder 19,and apply the division lemma to get
20 = 19 x 1 + 1
We consider the new divisor 19 and the new remainder 1,and apply the division lemma to get
19 = 1 x 19 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 960 and 9169 is 1
Notice that 1 = HCF(19,1) = HCF(20,19) = HCF(39,20) = HCF(98,39) = HCF(431,98) = HCF(529,431) = HCF(960,529) = HCF(9169,960) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 5458 > 1, we apply the division lemma to 5458 and 1, to get
5458 = 1 x 5458 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 5458 is 1
Notice that 1 = HCF(5458,1) .
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Frequently Asked Questions on HCF of 960, 9169, 5458 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 960, 9169, 5458?
Answer: HCF of 960, 9169, 5458 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 960, 9169, 5458 using Euclid's Algorithm?
Answer: For arbitrary numbers 960, 9169, 5458 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
