Highest Common Factor of 3436, 898 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 3436, 898 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 3436, 898 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 3436, 898 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 3436, 898 is 2.
HCF(3436, 898) = 2
HCF of 3436, 898 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3436, 898 is 2.
Highest Common Factor of 3436,898 is 2
Step 1: Since 3436 > 898, we apply the division lemma to 3436 and 898, to get
3436 = 898 x 3 + 742
Step 2: Since the reminder 898 ≠ 0, we apply division lemma to 742 and 898, to get
898 = 742 x 1 + 156
Step 3: We consider the new divisor 742 and the new remainder 156, and apply the division lemma to get
742 = 156 x 4 + 118
We consider the new divisor 156 and the new remainder 118,and apply the division lemma to get
156 = 118 x 1 + 38
We consider the new divisor 118 and the new remainder 38,and apply the division lemma to get
118 = 38 x 3 + 4
We consider the new divisor 38 and the new remainder 4,and apply the division lemma to get
38 = 4 x 9 + 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 3436 and 898 is 2
Notice that 2 = HCF(4,2) = HCF(38,4) = HCF(118,38) = HCF(156,118) = HCF(742,156) = HCF(898,742) = HCF(3436,898) .
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Frequently Asked Questions on HCF of 3436, 898 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 3436, 898?
Answer: HCF of 3436, 898 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3436, 898 using Euclid's Algorithm?
Answer: For arbitrary numbers 3436, 898 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.