Highest Common Factor of 5458, 2755, 92138 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 5458, 2755, 92138 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5458, 2755, 92138 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 5458, 2755, 92138 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 5458, 2755, 92138 is 1.
HCF(5458, 2755, 92138) = 1
HCF of 5458, 2755, 92138 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5458, 2755, 92138 is 1.
Highest Common Factor of 5458,2755,92138 is 1
Step 1: Since 5458 > 2755, we apply the division lemma to 5458 and 2755, to get
5458 = 2755 x 1 + 2703
Step 2: Since the reminder 2755 ≠ 0, we apply division lemma to 2703 and 2755, to get
2755 = 2703 x 1 + 52
Step 3: We consider the new divisor 2703 and the new remainder 52, and apply the division lemma to get
2703 = 52 x 51 + 51
We consider the new divisor 52 and the new remainder 51,and apply the division lemma to get
52 = 51 x 1 + 1
We consider the new divisor 51 and the new remainder 1,and apply the division lemma to get
51 = 1 x 51 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5458 and 2755 is 1
Notice that 1 = HCF(51,1) = HCF(52,51) = HCF(2703,52) = HCF(2755,2703) = HCF(5458,2755) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 92138 > 1, we apply the division lemma to 92138 and 1, to get
92138 = 1 x 92138 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 92138 is 1
Notice that 1 = HCF(92138,1) .
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Frequently Asked Questions on HCF of 5458, 2755, 92138 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 5458, 2755, 92138?
Answer: HCF of 5458, 2755, 92138 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5458, 2755, 92138 using Euclid's Algorithm?
Answer: For arbitrary numbers 5458, 2755, 92138 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.