Highest Common Factor of 9170, 3388 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 9170, 3388 i.e. 14 the largest integer that leaves a remainder zero for all numbers.
HCF of 9170, 3388 is 14 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 9170, 3388 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 9170, 3388 is 14.
HCF(9170, 3388) = 14
HCF of 9170, 3388 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9170, 3388 is 14.
Highest Common Factor of 9170,3388 is 14
Step 1: Since 9170 > 3388, we apply the division lemma to 9170 and 3388, to get
9170 = 3388 x 2 + 2394
Step 2: Since the reminder 3388 ≠ 0, we apply division lemma to 2394 and 3388, to get
3388 = 2394 x 1 + 994
Step 3: We consider the new divisor 2394 and the new remainder 994, and apply the division lemma to get
2394 = 994 x 2 + 406
We consider the new divisor 994 and the new remainder 406,and apply the division lemma to get
994 = 406 x 2 + 182
We consider the new divisor 406 and the new remainder 182,and apply the division lemma to get
406 = 182 x 2 + 42
We consider the new divisor 182 and the new remainder 42,and apply the division lemma to get
182 = 42 x 4 + 14
We consider the new divisor 42 and the new remainder 14,and apply the division lemma to get
42 = 14 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 14, the HCF of 9170 and 3388 is 14
Notice that 14 = HCF(42,14) = HCF(182,42) = HCF(406,182) = HCF(994,406) = HCF(2394,994) = HCF(3388,2394) = HCF(9170,3388) .
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Frequently Asked Questions on HCF of 9170, 3388 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 9170, 3388?
Answer: HCF of 9170, 3388 is 14 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9170, 3388 using Euclid's Algorithm?
Answer: For arbitrary numbers 9170, 3388 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.