Highest Common Factor of 451, 706 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 451, 706 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 451, 706 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 451, 706 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 451, 706 is 1.
HCF(451, 706) = 1
HCF of 451, 706 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 451, 706 is 1.
Highest Common Factor of 451,706 is 1
Step 1: Since 706 > 451, we apply the division lemma to 706 and 451, to get
706 = 451 x 1 + 255
Step 2: Since the reminder 451 ≠ 0, we apply division lemma to 255 and 451, to get
451 = 255 x 1 + 196
Step 3: We consider the new divisor 255 and the new remainder 196, and apply the division lemma to get
255 = 196 x 1 + 59
We consider the new divisor 196 and the new remainder 59,and apply the division lemma to get
196 = 59 x 3 + 19
We consider the new divisor 59 and the new remainder 19,and apply the division lemma to get
59 = 19 x 3 + 2
We consider the new divisor 19 and the new remainder 2,and apply the division lemma to get
19 = 2 x 9 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 451 and 706 is 1
Notice that 1 = HCF(2,1) = HCF(19,2) = HCF(59,19) = HCF(196,59) = HCF(255,196) = HCF(451,255) = HCF(706,451) .
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Frequently Asked Questions on HCF of 451, 706 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 451, 706?
Answer: HCF of 451, 706 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 451, 706 using Euclid's Algorithm?
Answer: For arbitrary numbers 451, 706 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.