Highest Common Factor of 9351, 2755 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 9351, 2755 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9351, 2755 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 9351, 2755 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 9351, 2755 is 1.
HCF(9351, 2755) = 1
HCF of 9351, 2755 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9351, 2755 is 1.
Highest Common Factor of 9351,2755 is 1
Step 1: Since 9351 > 2755, we apply the division lemma to 9351 and 2755, to get
9351 = 2755 x 3 + 1086
Step 2: Since the reminder 2755 ≠ 0, we apply division lemma to 1086 and 2755, to get
2755 = 1086 x 2 + 583
Step 3: We consider the new divisor 1086 and the new remainder 583, and apply the division lemma to get
1086 = 583 x 1 + 503
We consider the new divisor 583 and the new remainder 503,and apply the division lemma to get
583 = 503 x 1 + 80
We consider the new divisor 503 and the new remainder 80,and apply the division lemma to get
503 = 80 x 6 + 23
We consider the new divisor 80 and the new remainder 23,and apply the division lemma to get
80 = 23 x 3 + 11
We consider the new divisor 23 and the new remainder 11,and apply the division lemma to get
23 = 11 x 2 + 1
We consider the new divisor 11 and the new remainder 1,and apply the division lemma to get
11 = 1 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9351 and 2755 is 1
Notice that 1 = HCF(11,1) = HCF(23,11) = HCF(80,23) = HCF(503,80) = HCF(583,503) = HCF(1086,583) = HCF(2755,1086) = HCF(9351,2755) .
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Frequently Asked Questions on HCF of 9351, 2755 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 9351, 2755?
Answer: HCF of 9351, 2755 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9351, 2755 using Euclid's Algorithm?
Answer: For arbitrary numbers 9351, 2755 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.