Highest Common Factor of 662, 913 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 662, 913 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 662, 913 is 1 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 662, 913 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 662, 913 is 1.
HCF(662, 913) = 1
HCF of 662, 913 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 662, 913 is 1.
Highest Common Factor of 662,913 is 1
Step 1: Since 913 > 662, we apply the division lemma to 913 and 662, to get
913 = 662 x 1 + 251
Step 2: Since the reminder 662 ≠ 0, we apply division lemma to 251 and 662, to get
662 = 251 x 2 + 160
Step 3: We consider the new divisor 251 and the new remainder 160, and apply the division lemma to get
251 = 160 x 1 + 91
We consider the new divisor 160 and the new remainder 91,and apply the division lemma to get
160 = 91 x 1 + 69
We consider the new divisor 91 and the new remainder 69,and apply the division lemma to get
91 = 69 x 1 + 22
We consider the new divisor 69 and the new remainder 22,and apply the division lemma to get
69 = 22 x 3 + 3
We consider the new divisor 22 and the new remainder 3,and apply the division lemma to get
22 = 3 x 7 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 662 and 913 is 1
Notice that 1 = HCF(3,1) = HCF(22,3) = HCF(69,22) = HCF(91,69) = HCF(160,91) = HCF(251,160) = HCF(662,251) = HCF(913,662) .
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Frequently Asked Questions on HCF of 662, 913 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 662, 913?
Answer: HCF of 662, 913 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 662, 913 using Euclid's Algorithm?
Answer: For arbitrary numbers 662, 913 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.