Highest Common Factor of 7558, 2066 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 7558, 2066 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 7558, 2066 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 7558, 2066 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 7558, 2066 is 2.
HCF(7558, 2066) = 2
HCF of 7558, 2066 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7558, 2066 is 2.
Highest Common Factor of 7558,2066 is 2
Step 1: Since 7558 > 2066, we apply the division lemma to 7558 and 2066, to get
7558 = 2066 x 3 + 1360
Step 2: Since the reminder 2066 ≠ 0, we apply division lemma to 1360 and 2066, to get
2066 = 1360 x 1 + 706
Step 3: We consider the new divisor 1360 and the new remainder 706, and apply the division lemma to get
1360 = 706 x 1 + 654
We consider the new divisor 706 and the new remainder 654,and apply the division lemma to get
706 = 654 x 1 + 52
We consider the new divisor 654 and the new remainder 52,and apply the division lemma to get
654 = 52 x 12 + 30
We consider the new divisor 52 and the new remainder 30,and apply the division lemma to get
52 = 30 x 1 + 22
We consider the new divisor 30 and the new remainder 22,and apply the division lemma to get
30 = 22 x 1 + 8
We consider the new divisor 22 and the new remainder 8,and apply the division lemma to get
22 = 8 x 2 + 6
We consider the new divisor 8 and the new remainder 6,and apply the division lemma to get
8 = 6 x 1 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 7558 and 2066 is 2
Notice that 2 = HCF(6,2) = HCF(8,6) = HCF(22,8) = HCF(30,22) = HCF(52,30) = HCF(654,52) = HCF(706,654) = HCF(1360,706) = HCF(2066,1360) = HCF(7558,2066) .
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Frequently Asked Questions on HCF of 7558, 2066 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 7558, 2066?
Answer: HCF of 7558, 2066 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7558, 2066 using Euclid's Algorithm?
Answer: For arbitrary numbers 7558, 2066 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.