Highest Common Factor of 783, 432, 864 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 783, 432, 864 i.e. 27 the largest integer that leaves a remainder zero for all numbers.
HCF of 783, 432, 864 is 27 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 783, 432, 864 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 783, 432, 864 is 27.
HCF(783, 432, 864) = 27
HCF of 783, 432, 864 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 783, 432, 864 is 27.
Highest Common Factor of 783,432,864 is 27
Step 1: Since 783 > 432, we apply the division lemma to 783 and 432, to get
783 = 432 x 1 + 351
Step 2: Since the reminder 432 ≠ 0, we apply division lemma to 351 and 432, to get
432 = 351 x 1 + 81
Step 3: We consider the new divisor 351 and the new remainder 81, and apply the division lemma to get
351 = 81 x 4 + 27
We consider the new divisor 81 and the new remainder 27, and apply the division lemma to get
81 = 27 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 27, the HCF of 783 and 432 is 27
Notice that 27 = HCF(81,27) = HCF(351,81) = HCF(432,351) = HCF(783,432) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 864 > 27, we apply the division lemma to 864 and 27, to get
864 = 27 x 32 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 27, the HCF of 27 and 864 is 27
Notice that 27 = HCF(864,27) .
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Frequently Asked Questions on HCF of 783, 432, 864 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 783, 432, 864?
Answer: HCF of 783, 432, 864 is 27 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 783, 432, 864 using Euclid's Algorithm?
Answer: For arbitrary numbers 783, 432, 864 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.