Highest Common Factor of 432, 681, 783 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 432, 681, 783 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 432, 681, 783 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 432, 681, 783 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 432, 681, 783 is 3.
HCF(432, 681, 783) = 3
HCF of 432, 681, 783 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 432, 681, 783 is 3.
Highest Common Factor of 432,681,783 is 3
Step 1: Since 681 > 432, we apply the division lemma to 681 and 432, to get
681 = 432 x 1 + 249
Step 2: Since the reminder 432 ≠ 0, we apply division lemma to 249 and 432, to get
432 = 249 x 1 + 183
Step 3: We consider the new divisor 249 and the new remainder 183, and apply the division lemma to get
249 = 183 x 1 + 66
We consider the new divisor 183 and the new remainder 66,and apply the division lemma to get
183 = 66 x 2 + 51
We consider the new divisor 66 and the new remainder 51,and apply the division lemma to get
66 = 51 x 1 + 15
We consider the new divisor 51 and the new remainder 15,and apply the division lemma to get
51 = 15 x 3 + 6
We consider the new divisor 15 and the new remainder 6,and apply the division lemma to get
15 = 6 x 2 + 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 432 and 681 is 3
Notice that 3 = HCF(6,3) = HCF(15,6) = HCF(51,15) = HCF(66,51) = HCF(183,66) = HCF(249,183) = HCF(432,249) = HCF(681,432) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 783 > 3, we apply the division lemma to 783 and 3, to get
783 = 3 x 261 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 3 and 783 is 3
Notice that 3 = HCF(783,3) .
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Frequently Asked Questions on HCF of 432, 681, 783 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 432, 681, 783?
Answer: HCF of 432, 681, 783 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 432, 681, 783 using Euclid's Algorithm?
Answer: For arbitrary numbers 432, 681, 783 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.