Highest Common Factor of 3267, 4004, 96839 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 3267, 4004, 96839 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3267, 4004, 96839 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 3267, 4004, 96839 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 3267, 4004, 96839 is 1.
HCF(3267, 4004, 96839) = 1
HCF of 3267, 4004, 96839 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3267, 4004, 96839 is 1.
Highest Common Factor of 3267,4004,96839 is 1
Step 1: Since 4004 > 3267, we apply the division lemma to 4004 and 3267, to get
4004 = 3267 x 1 + 737
Step 2: Since the reminder 3267 ≠ 0, we apply division lemma to 737 and 3267, to get
3267 = 737 x 4 + 319
Step 3: We consider the new divisor 737 and the new remainder 319, and apply the division lemma to get
737 = 319 x 2 + 99
We consider the new divisor 319 and the new remainder 99,and apply the division lemma to get
319 = 99 x 3 + 22
We consider the new divisor 99 and the new remainder 22,and apply the division lemma to get
99 = 22 x 4 + 11
We consider the new divisor 22 and the new remainder 11,and apply the division lemma to get
22 = 11 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 11, the HCF of 3267 and 4004 is 11
Notice that 11 = HCF(22,11) = HCF(99,22) = HCF(319,99) = HCF(737,319) = HCF(3267,737) = HCF(4004,3267) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 96839 > 11, we apply the division lemma to 96839 and 11, to get
96839 = 11 x 8803 + 6
Step 2: Since the reminder 11 ≠ 0, we apply division lemma to 6 and 11, to get
11 = 6 x 1 + 5
Step 3: We consider the new divisor 6 and the new remainder 5, and apply the division lemma to get
6 = 5 x 1 + 1
We consider the new divisor 5 and the new remainder 1, and apply the division lemma 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 11 and 96839 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(11,6) = HCF(96839,11) .
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Frequently Asked Questions on HCF of 3267, 4004, 96839 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 3267, 4004, 96839?
Answer: HCF of 3267, 4004, 96839 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3267, 4004, 96839 using Euclid's Algorithm?
Answer: For arbitrary numbers 3267, 4004, 96839 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.