Highest Common Factor of 457, 847, 559 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 457, 847, 559 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 457, 847, 559 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 457, 847, 559 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 457, 847, 559 is 1.
HCF(457, 847, 559) = 1
HCF of 457, 847, 559 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 457, 847, 559 is 1.
Highest Common Factor of 457,847,559 is 1
Step 1: Since 847 > 457, we apply the division lemma to 847 and 457, to get
847 = 457 x 1 + 390
Step 2: Since the reminder 457 ≠ 0, we apply division lemma to 390 and 457, to get
457 = 390 x 1 + 67
Step 3: We consider the new divisor 390 and the new remainder 67, and apply the division lemma to get
390 = 67 x 5 + 55
We consider the new divisor 67 and the new remainder 55,and apply the division lemma to get
67 = 55 x 1 + 12
We consider the new divisor 55 and the new remainder 12,and apply the division lemma to get
55 = 12 x 4 + 7
We consider the new divisor 12 and the new remainder 7,and apply the division lemma to get
12 = 7 x 1 + 5
We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get
7 = 5 x 1 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 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 457 and 847 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(12,7) = HCF(55,12) = HCF(67,55) = HCF(390,67) = HCF(457,390) = HCF(847,457) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 559 > 1, we apply the division lemma to 559 and 1, to get
559 = 1 x 559 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 559 is 1
Notice that 1 = HCF(559,1) .
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Frequently Asked Questions on HCF of 457, 847, 559 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 457, 847, 559?
Answer: HCF of 457, 847, 559 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 457, 847, 559 using Euclid's Algorithm?
Answer: For arbitrary numbers 457, 847, 559 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.