Highest Common Factor of 2462, 5286, 97500 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 2462, 5286, 97500 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 2462, 5286, 97500 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 2462, 5286, 97500 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 2462, 5286, 97500 is 2.
HCF(2462, 5286, 97500) = 2
HCF of 2462, 5286, 97500 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2462, 5286, 97500 is 2.
Highest Common Factor of 2462,5286,97500 is 2
Step 1: Since 5286 > 2462, we apply the division lemma to 5286 and 2462, to get
5286 = 2462 x 2 + 362
Step 2: Since the reminder 2462 ≠ 0, we apply division lemma to 362 and 2462, to get
2462 = 362 x 6 + 290
Step 3: We consider the new divisor 362 and the new remainder 290, and apply the division lemma to get
362 = 290 x 1 + 72
We consider the new divisor 290 and the new remainder 72,and apply the division lemma to get
290 = 72 x 4 + 2
We consider the new divisor 72 and the new remainder 2,and apply the division lemma to get
72 = 2 x 36 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2462 and 5286 is 2
Notice that 2 = HCF(72,2) = HCF(290,72) = HCF(362,290) = HCF(2462,362) = HCF(5286,2462) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 97500 > 2, we apply the division lemma to 97500 and 2, to get
97500 = 2 x 48750 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 97500 is 2
Notice that 2 = HCF(97500,2) .
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Frequently Asked Questions on HCF of 2462, 5286, 97500 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 2462, 5286, 97500?
Answer: HCF of 2462, 5286, 97500 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2462, 5286, 97500 using Euclid's Algorithm?
Answer: For arbitrary numbers 2462, 5286, 97500 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.