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 475, 403, 478, 87 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 475, 403, 478, 87 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 475, 403, 478, 87 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 475, 403, 478, 87 is 1.
HCF(475, 403, 478, 87) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 475, 403, 478, 87 is 1.
Step 1: Since 475 > 403, we apply the division lemma to 475 and 403, to get
475 = 403 x 1 + 72
Step 2: Since the reminder 403 ≠ 0, we apply division lemma to 72 and 403, to get
403 = 72 x 5 + 43
Step 3: We consider the new divisor 72 and the new remainder 43, and apply the division lemma to get
72 = 43 x 1 + 29
We consider the new divisor 43 and the new remainder 29,and apply the division lemma to get
43 = 29 x 1 + 14
We consider the new divisor 29 and the new remainder 14,and apply the division lemma to get
29 = 14 x 2 + 1
We consider the new divisor 14 and the new remainder 1,and apply the division lemma to get
14 = 1 x 14 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 475 and 403 is 1
Notice that 1 = HCF(14,1) = HCF(29,14) = HCF(43,29) = HCF(72,43) = HCF(403,72) = HCF(475,403) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 478 > 1, we apply the division lemma to 478 and 1, to get
478 = 1 x 478 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 478 is 1
Notice that 1 = HCF(478,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 87 > 1, we apply the division lemma to 87 and 1, to get
87 = 1 x 87 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 87 is 1
Notice that 1 = HCF(87,1) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 475, 403, 478, 87?
Answer: HCF of 475, 403, 478, 87 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 475, 403, 478, 87 using Euclid's Algorithm?
Answer: For arbitrary numbers 475, 403, 478, 87 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.