Highest Common Factor of 3430, 1212 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 3430, 1212 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 3430, 1212 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 3430, 1212 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 3430, 1212 is 2.
HCF(3430, 1212) = 2
HCF of 3430, 1212 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3430, 1212 is 2.
Highest Common Factor of 3430,1212 is 2
Step 1: Since 3430 > 1212, we apply the division lemma to 3430 and 1212, to get
3430 = 1212 x 2 + 1006
Step 2: Since the reminder 1212 ≠ 0, we apply division lemma to 1006 and 1212, to get
1212 = 1006 x 1 + 206
Step 3: We consider the new divisor 1006 and the new remainder 206, and apply the division lemma to get
1006 = 206 x 4 + 182
We consider the new divisor 206 and the new remainder 182,and apply the division lemma to get
206 = 182 x 1 + 24
We consider the new divisor 182 and the new remainder 24,and apply the division lemma to get
182 = 24 x 7 + 14
We consider the new divisor 24 and the new remainder 14,and apply the division lemma to get
24 = 14 x 1 + 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 3430 and 1212 is 2
Notice that 2 = HCF(4,2) = HCF(10,4) = HCF(14,10) = HCF(24,14) = HCF(182,24) = HCF(206,182) = HCF(1006,206) = HCF(1212,1006) = HCF(3430,1212) .
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Frequently Asked Questions on HCF of 3430, 1212 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 3430, 1212?
Answer: HCF of 3430, 1212 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3430, 1212 using Euclid's Algorithm?
Answer: For arbitrary numbers 3430, 1212 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.