Highest Common Factor of 8786, 4462, 70440 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 8786, 4462, 70440 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 8786, 4462, 70440 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 8786, 4462, 70440 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 8786, 4462, 70440 is 2.
HCF(8786, 4462, 70440) = 2
HCF of 8786, 4462, 70440 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8786, 4462, 70440 is 2.
Highest Common Factor of 8786,4462,70440 is 2
Step 1: Since 8786 > 4462, we apply the division lemma to 8786 and 4462, to get
8786 = 4462 x 1 + 4324
Step 2: Since the reminder 4462 ≠ 0, we apply division lemma to 4324 and 4462, to get
4462 = 4324 x 1 + 138
Step 3: We consider the new divisor 4324 and the new remainder 138, and apply the division lemma to get
4324 = 138 x 31 + 46
We consider the new divisor 138 and the new remainder 46, and apply the division lemma to get
138 = 46 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 46, the HCF of 8786 and 4462 is 46
Notice that 46 = HCF(138,46) = HCF(4324,138) = HCF(4462,4324) = HCF(8786,4462) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 70440 > 46, we apply the division lemma to 70440 and 46, to get
70440 = 46 x 1531 + 14
Step 2: Since the reminder 46 ≠ 0, we apply division lemma to 14 and 46, to get
46 = 14 x 3 + 4
Step 3: We consider the new divisor 14 and the new remainder 4, and apply the division lemma to get
14 = 4 x 3 + 2
We consider the new divisor 4 and the new remainder 2, and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 46 and 70440 is 2
Notice that 2 = HCF(4,2) = HCF(14,4) = HCF(46,14) = HCF(70440,46) .
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Frequently Asked Questions on HCF of 8786, 4462, 70440 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 8786, 4462, 70440?
Answer: HCF of 8786, 4462, 70440 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8786, 4462, 70440 using Euclid's Algorithm?
Answer: For arbitrary numbers 8786, 4462, 70440 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.