Highest Common Factor of 2496, 7377, 81415 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 2496, 7377, 81415 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2496, 7377, 81415 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 2496, 7377, 81415 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 2496, 7377, 81415 is 1.
HCF(2496, 7377, 81415) = 1
HCF of 2496, 7377, 81415 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2496, 7377, 81415 is 1.
Highest Common Factor of 2496,7377,81415 is 1
Step 1: Since 7377 > 2496, we apply the division lemma to 7377 and 2496, to get
7377 = 2496 x 2 + 2385
Step 2: Since the reminder 2496 ≠ 0, we apply division lemma to 2385 and 2496, to get
2496 = 2385 x 1 + 111
Step 3: We consider the new divisor 2385 and the new remainder 111, and apply the division lemma to get
2385 = 111 x 21 + 54
We consider the new divisor 111 and the new remainder 54,and apply the division lemma to get
111 = 54 x 2 + 3
We consider the new divisor 54 and the new remainder 3,and apply the division lemma to get
54 = 3 x 18 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 2496 and 7377 is 3
Notice that 3 = HCF(54,3) = HCF(111,54) = HCF(2385,111) = HCF(2496,2385) = HCF(7377,2496) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 81415 > 3, we apply the division lemma to 81415 and 3, to get
81415 = 3 x 27138 + 1
Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 1 and 3, to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3 and 81415 is 1
Notice that 1 = HCF(3,1) = HCF(81415,3) .
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Frequently Asked Questions on HCF of 2496, 7377, 81415 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 2496, 7377, 81415?
Answer: HCF of 2496, 7377, 81415 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2496, 7377, 81415 using Euclid's Algorithm?
Answer: For arbitrary numbers 2496, 7377, 81415 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.