Highest Common Factor of 3356, 9138 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 3356, 9138 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 3356, 9138 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 3356, 9138 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 3356, 9138 is 2.
HCF(3356, 9138) = 2
HCF of 3356, 9138 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3356, 9138 is 2.
Highest Common Factor of 3356,9138 is 2
Step 1: Since 9138 > 3356, we apply the division lemma to 9138 and 3356, to get
9138 = 3356 x 2 + 2426
Step 2: Since the reminder 3356 ≠ 0, we apply division lemma to 2426 and 3356, to get
3356 = 2426 x 1 + 930
Step 3: We consider the new divisor 2426 and the new remainder 930, and apply the division lemma to get
2426 = 930 x 2 + 566
We consider the new divisor 930 and the new remainder 566,and apply the division lemma to get
930 = 566 x 1 + 364
We consider the new divisor 566 and the new remainder 364,and apply the division lemma to get
566 = 364 x 1 + 202
We consider the new divisor 364 and the new remainder 202,and apply the division lemma to get
364 = 202 x 1 + 162
We consider the new divisor 202 and the new remainder 162,and apply the division lemma to get
202 = 162 x 1 + 40
We consider the new divisor 162 and the new remainder 40,and apply the division lemma to get
162 = 40 x 4 + 2
We consider the new divisor 40 and the new remainder 2,and apply the division lemma to get
40 = 2 x 20 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 3356 and 9138 is 2
Notice that 2 = HCF(40,2) = HCF(162,40) = HCF(202,162) = HCF(364,202) = HCF(566,364) = HCF(930,566) = HCF(2426,930) = HCF(3356,2426) = HCF(9138,3356) .
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Frequently Asked Questions on HCF of 3356, 9138 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 3356, 9138?
Answer: HCF of 3356, 9138 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3356, 9138 using Euclid's Algorithm?
Answer: For arbitrary numbers 3356, 9138 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.