Highest Common Factor of 470, 736, 375, 89 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, 736, 375, 89 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 470, 736, 375, 89 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, 736, 375, 89 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, 736, 375, 89 is 1.
HCF(470, 736, 375, 89) = 1
HCF of 470, 736, 375, 89 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, 736, 375, 89 is 1.
Highest Common Factor of 470,736,375,89 is 1
Step 1: Since 736 > 470, we apply the division lemma to 736 and 470, to get
736 = 470 x 1 + 266
Step 2: Since the reminder 470 ≠ 0, we apply division lemma to 266 and 470, to get
470 = 266 x 1 + 204
Step 3: We consider the new divisor 266 and the new remainder 204, and apply the division lemma to get
266 = 204 x 1 + 62
We consider the new divisor 204 and the new remainder 62,and apply the division lemma to get
204 = 62 x 3 + 18
We consider the new divisor 62 and the new remainder 18,and apply the division lemma to get
62 = 18 x 3 + 8
We consider the new divisor 18 and the new remainder 8,and apply the division lemma to get
18 = 8 x 2 + 2
We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get
8 = 2 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 470 and 736 is 2
Notice that 2 = HCF(8,2) = HCF(18,8) = HCF(62,18) = HCF(204,62) = HCF(266,204) = HCF(470,266) = HCF(736,470) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 375 > 2, we apply the division lemma to 375 and 2, to get
375 = 2 x 187 + 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 375 is 1
Notice that 1 = HCF(2,1) = HCF(375,2) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 89 > 1, we apply the division lemma to 89 and 1, to get
89 = 1 x 89 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 89 is 1
Notice that 1 = HCF(89,1) .
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Frequently Asked Questions on HCF of 470, 736, 375, 89 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, 736, 375, 89?
Answer: HCF of 470, 736, 375, 89 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 470, 736, 375, 89 using Euclid's Algorithm?
Answer: For arbitrary numbers 470, 736, 375, 89 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.