Highest Common Factor of 3274, 9828, 77212 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 3274, 9828, 77212 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 3274, 9828, 77212 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 3274, 9828, 77212 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 3274, 9828, 77212 is 2.
HCF(3274, 9828, 77212) = 2
HCF of 3274, 9828, 77212 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3274, 9828, 77212 is 2.
Highest Common Factor of 3274,9828,77212 is 2
Step 1: Since 9828 > 3274, we apply the division lemma to 9828 and 3274, to get
9828 = 3274 x 3 + 6
Step 2: Since the reminder 3274 ≠ 0, we apply division lemma to 6 and 3274, to get
3274 = 6 x 545 + 4
Step 3: 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 3274 and 9828 is 2
Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(3274,6) = HCF(9828,3274) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 77212 > 2, we apply the division lemma to 77212 and 2, to get
77212 = 2 x 38606 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 77212 is 2
Notice that 2 = HCF(77212,2) .
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Frequently Asked Questions on HCF of 3274, 9828, 77212 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 3274, 9828, 77212?
Answer: HCF of 3274, 9828, 77212 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3274, 9828, 77212 using Euclid's Algorithm?
Answer: For arbitrary numbers 3274, 9828, 77212 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.