Highest Common Factor of 6630, 3385, 22656 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 6630, 3385, 22656 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6630, 3385, 22656 is 1 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 6630, 3385, 22656 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 6630, 3385, 22656 is 1.
HCF(6630, 3385, 22656) = 1
HCF of 6630, 3385, 22656 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6630, 3385, 22656 is 1.
Highest Common Factor of 6630,3385,22656 is 1
Step 1: Since 6630 > 3385, we apply the division lemma to 6630 and 3385, to get
6630 = 3385 x 1 + 3245
Step 2: Since the reminder 3385 ≠ 0, we apply division lemma to 3245 and 3385, to get
3385 = 3245 x 1 + 140
Step 3: We consider the new divisor 3245 and the new remainder 140, and apply the division lemma to get
3245 = 140 x 23 + 25
We consider the new divisor 140 and the new remainder 25,and apply the division lemma to get
140 = 25 x 5 + 15
We consider the new divisor 25 and the new remainder 15,and apply the division lemma to get
25 = 15 x 1 + 10
We consider the new divisor 15 and the new remainder 10,and apply the division lemma to get
15 = 10 x 1 + 5
We consider the new divisor 10 and the new remainder 5,and apply the division lemma to get
10 = 5 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 6630 and 3385 is 5
Notice that 5 = HCF(10,5) = HCF(15,10) = HCF(25,15) = HCF(140,25) = HCF(3245,140) = HCF(3385,3245) = HCF(6630,3385) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 22656 > 5, we apply the division lemma to 22656 and 5, to get
22656 = 5 x 4531 + 1
Step 2: Since the reminder 5 ≠ 0, we apply division lemma to 1 and 5, to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5 and 22656 is 1
Notice that 1 = HCF(5,1) = HCF(22656,5) .
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Frequently Asked Questions on HCF of 6630, 3385, 22656 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 6630, 3385, 22656?
Answer: HCF of 6630, 3385, 22656 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6630, 3385, 22656 using Euclid's Algorithm?
Answer: For arbitrary numbers 6630, 3385, 22656 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
