Highest Common Factor of 458, 58070 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 458, 58070 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 458, 58070 is 2 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 458, 58070 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 458, 58070 is 2.
HCF(458, 58070) = 2
HCF of 458, 58070 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 458, 58070 is 2.
Highest Common Factor of 458,58070 is 2
Step 1: Since 58070 > 458, we apply the division lemma to 58070 and 458, to get
58070 = 458 x 126 + 362
Step 2: Since the reminder 458 ≠ 0, we apply division lemma to 362 and 458, to get
458 = 362 x 1 + 96
Step 3: We consider the new divisor 362 and the new remainder 96, and apply the division lemma to get
362 = 96 x 3 + 74
We consider the new divisor 96 and the new remainder 74,and apply the division lemma to get
96 = 74 x 1 + 22
We consider the new divisor 74 and the new remainder 22,and apply the division lemma to get
74 = 22 x 3 + 8
We consider the new divisor 22 and the new remainder 8,and apply the division lemma to get
22 = 8 x 2 + 6
We consider the new divisor 8 and the new remainder 6,and apply the division lemma to get
8 = 6 x 1 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 458 and 58070 is 2
Notice that 2 = HCF(6,2) = HCF(8,6) = HCF(22,8) = HCF(74,22) = HCF(96,74) = HCF(362,96) = HCF(458,362) = HCF(58070,458) .
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Frequently Asked Questions on HCF of 458, 58070 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 458, 58070?
Answer: HCF of 458, 58070 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 458, 58070 using Euclid's Algorithm?
Answer: For arbitrary numbers 458, 58070 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.