Highest Common Factor of 386, 3670, 9292 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 386, 3670, 9292 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 386, 3670, 9292 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 386, 3670, 9292 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 386, 3670, 9292 is 2.
HCF(386, 3670, 9292) = 2
HCF of 386, 3670, 9292 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 386, 3670, 9292 is 2.
Highest Common Factor of 386,3670,9292 is 2
Step 1: Since 3670 > 386, we apply the division lemma to 3670 and 386, to get
3670 = 386 x 9 + 196
Step 2: Since the reminder 386 ≠ 0, we apply division lemma to 196 and 386, to get
386 = 196 x 1 + 190
Step 3: We consider the new divisor 196 and the new remainder 190, and apply the division lemma to get
196 = 190 x 1 + 6
We consider the new divisor 190 and the new remainder 6,and apply the division lemma to get
190 = 6 x 31 + 4
We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get
6 = 4 x 1 + 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 386 and 3670 is 2
Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(190,6) = HCF(196,190) = HCF(386,196) = HCF(3670,386) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 9292 > 2, we apply the division lemma to 9292 and 2, to get
9292 = 2 x 4646 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 9292 is 2
Notice that 2 = HCF(9292,2) .
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Frequently Asked Questions on HCF of 386, 3670, 9292 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 386, 3670, 9292?
Answer: HCF of 386, 3670, 9292 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 386, 3670, 9292 using Euclid's Algorithm?
Answer: For arbitrary numbers 386, 3670, 9292 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.