Highest Common Factor of 454, 553, 12 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, 553, 12 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 454, 553, 12 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, 553, 12 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, 553, 12 is 1.
HCF(454, 553, 12) = 1
HCF of 454, 553, 12 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, 553, 12 is 1.
Highest Common Factor of 454,553,12 is 1
Step 1: Since 553 > 454, we apply the division lemma to 553 and 454, to get
553 = 454 x 1 + 99
Step 2: Since the reminder 454 ≠ 0, we apply division lemma to 99 and 454, to get
454 = 99 x 4 + 58
Step 3: We consider the new divisor 99 and the new remainder 58, and apply the division lemma to get
99 = 58 x 1 + 41
We consider the new divisor 58 and the new remainder 41,and apply the division lemma to get
58 = 41 x 1 + 17
We consider the new divisor 41 and the new remainder 17,and apply the division lemma to get
41 = 17 x 2 + 7
We consider the new divisor 17 and the new remainder 7,and apply the division lemma to get
17 = 7 x 2 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 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 454 and 553 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(17,7) = HCF(41,17) = HCF(58,41) = HCF(99,58) = HCF(454,99) = HCF(553,454) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 12 > 1, we apply the division lemma to 12 and 1, 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 1 and 12 is 1
Notice that 1 = HCF(12,1) .
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Frequently Asked Questions on HCF of 454, 553, 12 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, 553, 12?
Answer: HCF of 454, 553, 12 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 454, 553, 12 using Euclid's Algorithm?
Answer: For arbitrary numbers 454, 553, 12 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.