Highest Common Factor of 1426, 8298 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, 8298 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 1426, 8298 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 1426, 8298 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, 8298 is 2.
HCF(1426, 8298) = 2
HCF of 1426, 8298 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, 8298 is 2.
Highest Common Factor of 1426,8298 is 2
Step 1: Since 8298 > 1426, we apply the division lemma to 8298 and 1426, to get
8298 = 1426 x 5 + 1168
Step 2: Since the reminder 1426 ≠ 0, we apply division lemma to 1168 and 1426, to get
1426 = 1168 x 1 + 258
Step 3: We consider the new divisor 1168 and the new remainder 258, and apply the division lemma to get
1168 = 258 x 4 + 136
We consider the new divisor 258 and the new remainder 136,and apply the division lemma to get
258 = 136 x 1 + 122
We consider the new divisor 136 and the new remainder 122,and apply the division lemma to get
136 = 122 x 1 + 14
We consider the new divisor 122 and the new remainder 14,and apply the division lemma to get
122 = 14 x 8 + 10
We consider the new divisor 14 and the new remainder 10,and apply the division lemma to get
14 = 10 x 1 + 4
We consider the new divisor 10 and the new remainder 4,and apply the division lemma to get
10 = 4 x 2 + 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 1426 and 8298 is 2
Notice that 2 = HCF(4,2) = HCF(10,4) = HCF(14,10) = HCF(122,14) = HCF(136,122) = HCF(258,136) = HCF(1168,258) = HCF(1426,1168) = HCF(8298,1426) .
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Frequently Asked Questions on HCF of 1426, 8298 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, 8298?
Answer: HCF of 1426, 8298 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1426, 8298 using Euclid's Algorithm?
Answer: For arbitrary numbers 1426, 8298 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.