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 4090, 6552 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 4090, 6552 is 2 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 4090, 6552 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 4090, 6552 is 2.
HCF(4090, 6552) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4090, 6552 is 2.
Step 1: Since 6552 > 4090, we apply the division lemma to 6552 and 4090, to get
6552 = 4090 x 1 + 2462
Step 2: Since the reminder 4090 ≠ 0, we apply division lemma to 2462 and 4090, to get
4090 = 2462 x 1 + 1628
Step 3: We consider the new divisor 2462 and the new remainder 1628, and apply the division lemma to get
2462 = 1628 x 1 + 834
We consider the new divisor 1628 and the new remainder 834,and apply the division lemma to get
1628 = 834 x 1 + 794
We consider the new divisor 834 and the new remainder 794,and apply the division lemma to get
834 = 794 x 1 + 40
We consider the new divisor 794 and the new remainder 40,and apply the division lemma to get
794 = 40 x 19 + 34
We consider the new divisor 40 and the new remainder 34,and apply the division lemma to get
40 = 34 x 1 + 6
We consider the new divisor 34 and the new remainder 6,and apply the division lemma to get
34 = 6 x 5 + 4
We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get
6 = 4 x 1 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 4090 and 6552 is 2
Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(34,6) = HCF(40,34) = HCF(794,40) = HCF(834,794) = HCF(1628,834) = HCF(2462,1628) = HCF(4090,2462) = HCF(6552,4090) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 4090, 6552?
Answer: HCF of 4090, 6552 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4090, 6552 using Euclid's Algorithm?
Answer: For arbitrary numbers 4090, 6552 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.