Highest Common Factor of 6640, 8064 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 6640, 8064 i.e. 16 the largest integer that leaves a remainder zero for all numbers.
HCF of 6640, 8064 is 16 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 6640, 8064 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 6640, 8064 is 16.
HCF(6640, 8064) = 16
HCF of 6640, 8064 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6640, 8064 is 16.
Highest Common Factor of 6640,8064 is 16
Step 1: Since 8064 > 6640, we apply the division lemma to 8064 and 6640, to get
8064 = 6640 x 1 + 1424
Step 2: Since the reminder 6640 ≠ 0, we apply division lemma to 1424 and 6640, to get
6640 = 1424 x 4 + 944
Step 3: We consider the new divisor 1424 and the new remainder 944, and apply the division lemma to get
1424 = 944 x 1 + 480
We consider the new divisor 944 and the new remainder 480,and apply the division lemma to get
944 = 480 x 1 + 464
We consider the new divisor 480 and the new remainder 464,and apply the division lemma to get
480 = 464 x 1 + 16
We consider the new divisor 464 and the new remainder 16,and apply the division lemma to get
464 = 16 x 29 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 16, the HCF of 6640 and 8064 is 16
Notice that 16 = HCF(464,16) = HCF(480,464) = HCF(944,480) = HCF(1424,944) = HCF(6640,1424) = HCF(8064,6640) .
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Frequently Asked Questions on HCF of 6640, 8064 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 6640, 8064?
Answer: HCF of 6640, 8064 is 16 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6640, 8064 using Euclid's Algorithm?
Answer: For arbitrary numbers 6640, 8064 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.