Highest Common Factor of 6764, 2384 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 6764, 2384 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 6764, 2384 is 4 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 6764, 2384 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 6764, 2384 is 4.
HCF(6764, 2384) = 4
HCF of 6764, 2384 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6764, 2384 is 4.
Highest Common Factor of 6764,2384 is 4
Step 1: Since 6764 > 2384, we apply the division lemma to 6764 and 2384, to get
6764 = 2384 x 2 + 1996
Step 2: Since the reminder 2384 ≠ 0, we apply division lemma to 1996 and 2384, to get
2384 = 1996 x 1 + 388
Step 3: We consider the new divisor 1996 and the new remainder 388, and apply the division lemma to get
1996 = 388 x 5 + 56
We consider the new divisor 388 and the new remainder 56,and apply the division lemma to get
388 = 56 x 6 + 52
We consider the new divisor 56 and the new remainder 52,and apply the division lemma to get
56 = 52 x 1 + 4
We consider the new divisor 52 and the new remainder 4,and apply the division lemma to get
52 = 4 x 13 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 6764 and 2384 is 4
Notice that 4 = HCF(52,4) = HCF(56,52) = HCF(388,56) = HCF(1996,388) = HCF(2384,1996) = HCF(6764,2384) .
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Frequently Asked Questions on HCF of 6764, 2384 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 6764, 2384?
Answer: HCF of 6764, 2384 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6764, 2384 using Euclid's Algorithm?
Answer: For arbitrary numbers 6764, 2384 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.