Highest Common Factor of 470, 744, 431, 647 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 470, 744, 431, 647 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 470, 744, 431, 647 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 470, 744, 431, 647 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 470, 744, 431, 647 is 1.
HCF(470, 744, 431, 647) = 1
HCF of 470, 744, 431, 647 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 470, 744, 431, 647 is 1.
Highest Common Factor of 470,744,431,647 is 1
Step 1: Since 744 > 470, we apply the division lemma to 744 and 470, to get
744 = 470 x 1 + 274
Step 2: Since the reminder 470 ≠ 0, we apply division lemma to 274 and 470, to get
470 = 274 x 1 + 196
Step 3: We consider the new divisor 274 and the new remainder 196, and apply the division lemma to get
274 = 196 x 1 + 78
We consider the new divisor 196 and the new remainder 78,and apply the division lemma to get
196 = 78 x 2 + 40
We consider the new divisor 78 and the new remainder 40,and apply the division lemma to get
78 = 40 x 1 + 38
We consider the new divisor 40 and the new remainder 38,and apply the division lemma to get
40 = 38 x 1 + 2
We consider the new divisor 38 and the new remainder 2,and apply the division lemma to get
38 = 2 x 19 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 470 and 744 is 2
Notice that 2 = HCF(38,2) = HCF(40,38) = HCF(78,40) = HCF(196,78) = HCF(274,196) = HCF(470,274) = HCF(744,470) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 431 > 2, we apply the division lemma to 431 and 2, to get
431 = 2 x 215 + 1
Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 431 is 1
Notice that 1 = HCF(2,1) = HCF(431,2) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 647 > 1, we apply the division lemma to 647 and 1, to get
647 = 1 x 647 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 647 is 1
Notice that 1 = HCF(647,1) .
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Frequently Asked Questions on HCF of 470, 744, 431, 647 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 470, 744, 431, 647?
Answer: HCF of 470, 744, 431, 647 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 470, 744, 431, 647 using Euclid's Algorithm?
Answer: For arbitrary numbers 470, 744, 431, 647 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
