Highest Common Factor of 6772, 4064 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 6772, 4064 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 6772, 4064 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 6772, 4064 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 6772, 4064 is 4.
HCF(6772, 4064) = 4
HCF of 6772, 4064 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6772, 4064 is 4.
Highest Common Factor of 6772,4064 is 4
Step 1: Since 6772 > 4064, we apply the division lemma to 6772 and 4064, to get
6772 = 4064 x 1 + 2708
Step 2: Since the reminder 4064 ≠ 0, we apply division lemma to 2708 and 4064, to get
4064 = 2708 x 1 + 1356
Step 3: We consider the new divisor 2708 and the new remainder 1356, and apply the division lemma to get
2708 = 1356 x 1 + 1352
We consider the new divisor 1356 and the new remainder 1352,and apply the division lemma to get
1356 = 1352 x 1 + 4
We consider the new divisor 1352 and the new remainder 4,and apply the division lemma to get
1352 = 4 x 338 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 6772 and 4064 is 4
Notice that 4 = HCF(1352,4) = HCF(1356,1352) = HCF(2708,1356) = HCF(4064,2708) = HCF(6772,4064) .
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Frequently Asked Questions on HCF of 6772, 4064 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 6772, 4064?
Answer: HCF of 6772, 4064 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6772, 4064 using Euclid's Algorithm?
Answer: For arbitrary numbers 6772, 4064 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.