Highest Common Factor of 684, 99033 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 684, 99033 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 684, 99033 is 3 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 684, 99033 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 684, 99033 is 3.
HCF(684, 99033) = 3
HCF of 684, 99033 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 684, 99033 is 3.
Highest Common Factor of 684,99033 is 3
Step 1: Since 99033 > 684, we apply the division lemma to 99033 and 684, to get
99033 = 684 x 144 + 537
Step 2: Since the reminder 684 ≠ 0, we apply division lemma to 537 and 684, to get
684 = 537 x 1 + 147
Step 3: We consider the new divisor 537 and the new remainder 147, and apply the division lemma to get
537 = 147 x 3 + 96
We consider the new divisor 147 and the new remainder 96,and apply the division lemma to get
147 = 96 x 1 + 51
We consider the new divisor 96 and the new remainder 51,and apply the division lemma to get
96 = 51 x 1 + 45
We consider the new divisor 51 and the new remainder 45,and apply the division lemma to get
51 = 45 x 1 + 6
We consider the new divisor 45 and the new remainder 6,and apply the division lemma to get
45 = 6 x 7 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 684 and 99033 is 3
Notice that 3 = HCF(6,3) = HCF(45,6) = HCF(51,45) = HCF(96,51) = HCF(147,96) = HCF(537,147) = HCF(684,537) = HCF(99033,684) .
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Frequently Asked Questions on HCF of 684, 99033 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 684, 99033?
Answer: HCF of 684, 99033 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 684, 99033 using Euclid's Algorithm?
Answer: For arbitrary numbers 684, 99033 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.