Highest Common Factor of 451, 1091 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, 1091 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 451, 1091 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, 1091 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, 1091 is 1.
HCF(451, 1091) = 1
HCF of 451, 1091 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, 1091 is 1.
Highest Common Factor of 451,1091 is 1
Step 1: Since 1091 > 451, we apply the division lemma to 1091 and 451, to get
1091 = 451 x 2 + 189
Step 2: Since the reminder 451 ≠ 0, we apply division lemma to 189 and 451, to get
451 = 189 x 2 + 73
Step 3: We consider the new divisor 189 and the new remainder 73, and apply the division lemma to get
189 = 73 x 2 + 43
We consider the new divisor 73 and the new remainder 43,and apply the division lemma to get
73 = 43 x 1 + 30
We consider the new divisor 43 and the new remainder 30,and apply the division lemma to get
43 = 30 x 1 + 13
We consider the new divisor 30 and the new remainder 13,and apply the division lemma to get
30 = 13 x 2 + 4
We consider the new divisor 13 and the new remainder 4,and apply the division lemma to get
13 = 4 x 3 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 451 and 1091 is 1
Notice that 1 = HCF(4,1) = HCF(13,4) = HCF(30,13) = HCF(43,30) = HCF(73,43) = HCF(189,73) = HCF(451,189) = HCF(1091,451) .
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Frequently Asked Questions on HCF of 451, 1091 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, 1091?
Answer: HCF of 451, 1091 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 451, 1091 using Euclid's Algorithm?
Answer: For arbitrary numbers 451, 1091 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.