Highest Common Factor of 454, 319, 631 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 454, 319, 631 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 454, 319, 631 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 454, 319, 631 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 454, 319, 631 is 1.
HCF(454, 319, 631) = 1
HCF of 454, 319, 631 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 454, 319, 631 is 1.
Highest Common Factor of 454,319,631 is 1
Step 1: Since 454 > 319, we apply the division lemma to 454 and 319, to get
454 = 319 x 1 + 135
Step 2: Since the reminder 319 ≠ 0, we apply division lemma to 135 and 319, to get
319 = 135 x 2 + 49
Step 3: We consider the new divisor 135 and the new remainder 49, and apply the division lemma to get
135 = 49 x 2 + 37
We consider the new divisor 49 and the new remainder 37,and apply the division lemma to get
49 = 37 x 1 + 12
We consider the new divisor 37 and the new remainder 12,and apply the division lemma to get
37 = 12 x 3 + 1
We consider the new divisor 12 and the new remainder 1,and apply the division lemma to get
12 = 1 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 454 and 319 is 1
Notice that 1 = HCF(12,1) = HCF(37,12) = HCF(49,37) = HCF(135,49) = HCF(319,135) = HCF(454,319) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 631 > 1, we apply the division lemma to 631 and 1, to get
631 = 1 x 631 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 631 is 1
Notice that 1 = HCF(631,1) .
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Frequently Asked Questions on HCF of 454, 319, 631 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 454, 319, 631?
Answer: HCF of 454, 319, 631 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 454, 319, 631 using Euclid's Algorithm?
Answer: For arbitrary numbers 454, 319, 631 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.