Highest Common Factor of 479, 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 479, 92138 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 479, 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 479, 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 479, 92138 is 1.
HCF(479, 92138) = 1
HCF of 479, 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 479, 92138 is 1.
Highest Common Factor of 479,92138 is 1
Step 1: Since 92138 > 479, we apply the division lemma to 92138 and 479, to get
92138 = 479 x 192 + 170
Step 2: Since the reminder 479 ≠ 0, we apply division lemma to 170 and 479, to get
479 = 170 x 2 + 139
Step 3: We consider the new divisor 170 and the new remainder 139, and apply the division lemma to get
170 = 139 x 1 + 31
We consider the new divisor 139 and the new remainder 31,and apply the division lemma to get
139 = 31 x 4 + 15
We consider the new divisor 31 and the new remainder 15,and apply the division lemma to get
31 = 15 x 2 + 1
We consider the new divisor 15 and the new remainder 1,and apply the division lemma to get
15 = 1 x 15 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 479 and 92138 is 1
Notice that 1 = HCF(15,1) = HCF(31,15) = HCF(139,31) = HCF(170,139) = HCF(479,170) = HCF(92138,479) .
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Frequently Asked Questions on HCF of 479, 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 479, 92138?
Answer: HCF of 479, 92138 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 479, 92138 using Euclid's Algorithm?
Answer: For arbitrary numbers 479, 92138 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.