Highest Common Factor of 1426, 3536, 97031 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 1426, 3536, 97031 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1426, 3536, 97031 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 1426, 3536, 97031 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 1426, 3536, 97031 is 1.
HCF(1426, 3536, 97031) = 1
HCF of 1426, 3536, 97031 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1426, 3536, 97031 is 1.
Highest Common Factor of 1426,3536,97031 is 1
Step 1: Since 3536 > 1426, we apply the division lemma to 3536 and 1426, to get
3536 = 1426 x 2 + 684
Step 2: Since the reminder 1426 ≠ 0, we apply division lemma to 684 and 1426, to get
1426 = 684 x 2 + 58
Step 3: We consider the new divisor 684 and the new remainder 58, and apply the division lemma to get
684 = 58 x 11 + 46
We consider the new divisor 58 and the new remainder 46,and apply the division lemma to get
58 = 46 x 1 + 12
We consider the new divisor 46 and the new remainder 12,and apply the division lemma to get
46 = 12 x 3 + 10
We consider the new divisor 12 and the new remainder 10,and apply the division lemma to get
12 = 10 x 1 + 2
We consider the new divisor 10 and the new remainder 2,and apply the division lemma to get
10 = 2 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 1426 and 3536 is 2
Notice that 2 = HCF(10,2) = HCF(12,10) = HCF(46,12) = HCF(58,46) = HCF(684,58) = HCF(1426,684) = HCF(3536,1426) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 97031 > 2, we apply the division lemma to 97031 and 2, to get
97031 = 2 x 48515 + 1
Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2 and 97031 is 1
Notice that 1 = HCF(2,1) = HCF(97031,2) .
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Frequently Asked Questions on HCF of 1426, 3536, 97031 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 1426, 3536, 97031?
Answer: HCF of 1426, 3536, 97031 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1426, 3536, 97031 using Euclid's Algorithm?
Answer: For arbitrary numbers 1426, 3536, 97031 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.