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 483, 767, 475 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 483, 767, 475 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 483, 767, 475 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 483, 767, 475 is 1.
HCF(483, 767, 475) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 483, 767, 475 is 1.
Step 1: Since 767 > 483, we apply the division lemma to 767 and 483, to get
767 = 483 x 1 + 284
Step 2: Since the reminder 483 ≠ 0, we apply division lemma to 284 and 483, to get
483 = 284 x 1 + 199
Step 3: We consider the new divisor 284 and the new remainder 199, and apply the division lemma to get
284 = 199 x 1 + 85
We consider the new divisor 199 and the new remainder 85,and apply the division lemma to get
199 = 85 x 2 + 29
We consider the new divisor 85 and the new remainder 29,and apply the division lemma to get
85 = 29 x 2 + 27
We consider the new divisor 29 and the new remainder 27,and apply the division lemma to get
29 = 27 x 1 + 2
We consider the new divisor 27 and the new remainder 2,and apply the division lemma to get
27 = 2 x 13 + 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 483 and 767 is 1
Notice that 1 = HCF(2,1) = HCF(27,2) = HCF(29,27) = HCF(85,29) = HCF(199,85) = HCF(284,199) = HCF(483,284) = HCF(767,483) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 475 > 1, we apply the division lemma to 475 and 1, to get
475 = 1 x 475 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 475 is 1
Notice that 1 = HCF(475,1) .
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 483, 767, 475?
Answer: HCF of 483, 767, 475 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 483, 767, 475 using Euclid's Algorithm?
Answer: For arbitrary numbers 483, 767, 475 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.