Highest Common Factor of 451, 123, 775 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, 123, 775 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 451, 123, 775 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, 123, 775 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, 123, 775 is 1.
HCF(451, 123, 775) = 1
HCF of 451, 123, 775 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, 123, 775 is 1.
Highest Common Factor of 451,123,775 is 1
Step 1: Since 451 > 123, we apply the division lemma to 451 and 123, to get
451 = 123 x 3 + 82
Step 2: Since the reminder 123 ≠ 0, we apply division lemma to 82 and 123, to get
123 = 82 x 1 + 41
Step 3: We consider the new divisor 82 and the new remainder 41, and apply the division lemma to get
82 = 41 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 41, the HCF of 451 and 123 is 41
Notice that 41 = HCF(82,41) = HCF(123,82) = HCF(451,123) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 775 > 41, we apply the division lemma to 775 and 41, to get
775 = 41 x 18 + 37
Step 2: Since the reminder 41 ≠ 0, we apply division lemma to 37 and 41, to get
41 = 37 x 1 + 4
Step 3: We consider the new divisor 37 and the new remainder 4, and apply the division lemma to get
37 = 4 x 9 + 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 41 and 775 is 1
Notice that 1 = HCF(4,1) = HCF(37,4) = HCF(41,37) = HCF(775,41) .
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Frequently Asked Questions on HCF of 451, 123, 775 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, 123, 775?
Answer: HCF of 451, 123, 775 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 451, 123, 775 using Euclid's Algorithm?
Answer: For arbitrary numbers 451, 123, 775 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.