Highest Common Factor of 3372, 6073, 61080 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 3372, 6073, 61080 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3372, 6073, 61080 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 3372, 6073, 61080 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 3372, 6073, 61080 is 1.
HCF(3372, 6073, 61080) = 1
HCF of 3372, 6073, 61080 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3372, 6073, 61080 is 1.
Highest Common Factor of 3372,6073,61080 is 1
Step 1: Since 6073 > 3372, we apply the division lemma to 6073 and 3372, to get
6073 = 3372 x 1 + 2701
Step 2: Since the reminder 3372 ≠ 0, we apply division lemma to 2701 and 3372, to get
3372 = 2701 x 1 + 671
Step 3: We consider the new divisor 2701 and the new remainder 671, and apply the division lemma to get
2701 = 671 x 4 + 17
We consider the new divisor 671 and the new remainder 17,and apply the division lemma to get
671 = 17 x 39 + 8
We consider the new divisor 17 and the new remainder 8,and apply the division lemma to get
17 = 8 x 2 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3372 and 6073 is 1
Notice that 1 = HCF(8,1) = HCF(17,8) = HCF(671,17) = HCF(2701,671) = HCF(3372,2701) = HCF(6073,3372) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 61080 > 1, we apply the division lemma to 61080 and 1, to get
61080 = 1 x 61080 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 61080 is 1
Notice that 1 = HCF(61080,1) .
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Frequently Asked Questions on HCF of 3372, 6073, 61080 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 3372, 6073, 61080?
Answer: HCF of 3372, 6073, 61080 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3372, 6073, 61080 using Euclid's Algorithm?
Answer: For arbitrary numbers 3372, 6073, 61080 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.