Highest Common Factor of 783, 66936 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, 66936 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 783, 66936 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 783, 66936 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, 66936 is 3.
HCF(783, 66936) = 3
HCF of 783, 66936 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, 66936 is 3.
Highest Common Factor of 783,66936 is 3
Step 1: Since 66936 > 783, we apply the division lemma to 66936 and 783, to get
66936 = 783 x 85 + 381
Step 2: Since the reminder 783 ≠ 0, we apply division lemma to 381 and 783, to get
783 = 381 x 2 + 21
Step 3: We consider the new divisor 381 and the new remainder 21, and apply the division lemma to get
381 = 21 x 18 + 3
We consider the new divisor 21 and the new remainder 3, and apply the division lemma to get
21 = 3 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 783 and 66936 is 3
Notice that 3 = HCF(21,3) = HCF(381,21) = HCF(783,381) = HCF(66936,783) .
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Frequently Asked Questions on HCF of 783, 66936 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, 66936?
Answer: HCF of 783, 66936 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 783, 66936 using Euclid's Algorithm?
Answer: For arbitrary numbers 783, 66936 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.