Highest Common Factor of 9340, 3354 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 9340, 3354 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 9340, 3354 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 9340, 3354 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 9340, 3354 is 2.
HCF(9340, 3354) = 2
HCF of 9340, 3354 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9340, 3354 is 2.
Highest Common Factor of 9340,3354 is 2
Step 1: Since 9340 > 3354, we apply the division lemma to 9340 and 3354, to get
9340 = 3354 x 2 + 2632
Step 2: Since the reminder 3354 ≠ 0, we apply division lemma to 2632 and 3354, to get
3354 = 2632 x 1 + 722
Step 3: We consider the new divisor 2632 and the new remainder 722, and apply the division lemma to get
2632 = 722 x 3 + 466
We consider the new divisor 722 and the new remainder 466,and apply the division lemma to get
722 = 466 x 1 + 256
We consider the new divisor 466 and the new remainder 256,and apply the division lemma to get
466 = 256 x 1 + 210
We consider the new divisor 256 and the new remainder 210,and apply the division lemma to get
256 = 210 x 1 + 46
We consider the new divisor 210 and the new remainder 46,and apply the division lemma to get
210 = 46 x 4 + 26
We consider the new divisor 46 and the new remainder 26,and apply the division lemma to get
46 = 26 x 1 + 20
We consider the new divisor 26 and the new remainder 20,and apply the division lemma to get
26 = 20 x 1 + 6
We consider the new divisor 20 and the new remainder 6,and apply the division lemma to get
20 = 6 x 3 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 9340 and 3354 is 2
Notice that 2 = HCF(6,2) = HCF(20,6) = HCF(26,20) = HCF(46,26) = HCF(210,46) = HCF(256,210) = HCF(466,256) = HCF(722,466) = HCF(2632,722) = HCF(3354,2632) = HCF(9340,3354) .
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Frequently Asked Questions on HCF of 9340, 3354 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 9340, 3354?
Answer: HCF of 9340, 3354 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9340, 3354 using Euclid's Algorithm?
Answer: For arbitrary numbers 9340, 3354 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.