Highest Common Factor of 9668, 7254, 33677 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 9668, 7254, 33677 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9668, 7254, 33677 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 9668, 7254, 33677 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 9668, 7254, 33677 is 1.
HCF(9668, 7254, 33677) = 1
HCF of 9668, 7254, 33677 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9668, 7254, 33677 is 1.
Highest Common Factor of 9668,7254,33677 is 1
Step 1: Since 9668 > 7254, we apply the division lemma to 9668 and 7254, to get
9668 = 7254 x 1 + 2414
Step 2: Since the reminder 7254 ≠ 0, we apply division lemma to 2414 and 7254, to get
7254 = 2414 x 3 + 12
Step 3: We consider the new divisor 2414 and the new remainder 12, and apply the division lemma to get
2414 = 12 x 201 + 2
We consider the new divisor 12 and the new remainder 2, and apply the division lemma to get
12 = 2 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 9668 and 7254 is 2
Notice that 2 = HCF(12,2) = HCF(2414,12) = HCF(7254,2414) = HCF(9668,7254) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 33677 > 2, we apply the division lemma to 33677 and 2, to get
33677 = 2 x 16838 + 1
Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2 and 33677 is 1
Notice that 1 = HCF(2,1) = HCF(33677,2) .
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Frequently Asked Questions on HCF of 9668, 7254, 33677 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 9668, 7254, 33677?
Answer: HCF of 9668, 7254, 33677 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9668, 7254, 33677 using Euclid's Algorithm?
Answer: For arbitrary numbers 9668, 7254, 33677 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.